( (AffineMap ((1 : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) / 2 : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( V28() V29() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ,0 : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( V6() V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) - ((1 : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) / 4 : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( V28() V29() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) (#) (sin : ( ( V6() V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) * (AffineMap (2 : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) ,0 : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( V6() V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) ( Relation-like V6() V7() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V19( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V20( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V6() ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V6() ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) : ( ( V6() ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) is_differentiable_on REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) & ( for x being ( ( ) ( V28() V29() ext-real ) Real) holds (((AffineMap ((1 : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) / 2 : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( V28() V29() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ,0 : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( V6() V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) - ((1 : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) / 4 : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( V28() V29() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) (#) (sin : ( ( V6() V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) * (AffineMap (2 : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) ,0 : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( V6() V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) ( Relation-like V6() V7() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V19( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V20( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V6() ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V6() ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V6() ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) `| REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( V6() ) ( Relation-like V6() V34() V35() V36() ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) . x : ( ( ) ( V28() V29() ext-real ) Real) : ( ( ) ( V28() V29() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) = (sin : ( ( V6() V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) . x : ( ( ) ( V28() V29() ext-real ) Real) ) : ( ( ) ( V28() V29() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ^2 : ( ( ) ( V28() V29() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) ) ;

( (AffineMap ((1 : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) / 2 : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( V28() V29() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ,0 : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( V6() V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) + ((1 : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) / 4 : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( V28() V29() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) (#) (sin : ( ( V6() V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) * (AffineMap (2 : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) ,0 : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( V6() V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) ( Relation-like V6() V7() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V19( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V20( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V6() ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V6() ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) : ( ( V6() ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) is_differentiable_on REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) & ( for x being ( ( ) ( V28() V29() ext-real ) Real) holds (((AffineMap ((1 : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) / 2 : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( V28() V29() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ,0 : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( V6() V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) + ((1 : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) / 4 : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( V28() V29() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) (#) (sin : ( ( V6() V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) * (AffineMap (2 : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) ,0 : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( V6() V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) ( Relation-like V6() V7() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V19( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V20( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V6() ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V6() ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V6() ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) `| REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( V6() ) ( Relation-like V6() V34() V35() V36() ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) . x : ( ( ) ( V28() V29() ext-real ) Real) : ( ( ) ( V28() V29() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) = (cos : ( ( V6() V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) . x : ( ( ) ( V28() V29() ext-real ) Real) ) : ( ( ) ( V28() V29() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ^2 : ( ( ) ( V28() V29() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) ) ;

for n being ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) holds
( (1 : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) / (n : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) + 1 : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) : ( ( ) ( V28() V29() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) (#) ((#Z (n : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) + 1 : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) : ( ( V6() V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) * sin : ( ( V6() V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V6() ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) : ( ( V6() ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) is_differentiable_on REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) & ( for x being ( ( ) ( V28() V29() ext-real ) Real) holds (((1 : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) / (n : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) + 1 : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) : ( ( ) ( V28() V29() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) (#) ((#Z (n : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) + 1 : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) : ( ( V6() V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) * sin : ( ( V6() V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V6() ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V6() ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) `| REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( V6() ) ( Relation-like V6() V34() V35() V36() ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) . x : ( ( ) ( V28() V29() ext-real ) Real) : ( ( ) ( V28() V29() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) = ((sin : ( ( V6() V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) . x : ( ( ) ( V28() V29() ext-real ) Real) ) : ( ( ) ( V28() V29() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) #Z n : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( V28() V29() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) * (cos : ( ( V6() V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) . x : ( ( ) ( V28() V29() ext-real ) Real) ) : ( ( ) ( V28() V29() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( V28() V29() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) ) ;

for n being ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) holds
( (- (1 : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) / (n : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) + 1 : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) : ( ( ) ( V28() V29() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) : ( ( ) ( V28() V29() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) (#) ((#Z (n : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) + 1 : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) : ( ( V6() V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) * cos : ( ( V6() V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V6() ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) : ( ( V6() ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) is_differentiable_on REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) & ( for x being ( ( ) ( V28() V29() ext-real ) Real) holds (((- (1 : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) / (n : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) + 1 : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) : ( ( ) ( V28() V29() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) : ( ( ) ( V28() V29() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) (#) ((#Z (n : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) + 1 : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) : ( ( V6() V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) * cos : ( ( V6() V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V6() ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V6() ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) `| REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( V6() ) ( Relation-like V6() V34() V35() V36() ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) . x : ( ( ) ( V28() V29() ext-real ) Real) : ( ( ) ( V28() V29() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) = ((cos : ( ( V6() V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) . x : ( ( ) ( V28() V29() ext-real ) Real) ) : ( ( ) ( V28() V29() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) #Z n : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( V28() V29() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) * (sin : ( ( V6() V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) . x : ( ( ) ( V28() V29() ext-real ) Real) ) : ( ( ) ( V28() V29() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( V28() V29() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) ) ;

for m, n being ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) st m : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) + n : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) <> 0 : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) & m : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) - n : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( V28() V29() V30() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) <> 0 : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) holds
( ((1 : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) / (2 : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) * (m : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) + n : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) : ( ( ) ( V28() V29() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) (#) (sin : ( ( V6() V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) * (AffineMap ((m : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) + n : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ,0 : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( V6() V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V6() ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V6() ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) + ((1 : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) / (2 : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) * (m : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) - n : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( V28() V29() V30() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) : ( ( ) ( V28() V29() V30() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) : ( ( ) ( V28() V29() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) (#) (sin : ( ( V6() V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) * (AffineMap ((m : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) - n : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( V28() V29() V30() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ,0 : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( V6() V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V6() ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V6() ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) : ( ( V6() ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) is_differentiable_on REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) & ( for x being ( ( ) ( V28() V29() ext-real ) Real) holds ((((1 : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) / (2 : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) * (m : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) + n : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) : ( ( ) ( V28() V29() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) (#) (sin : ( ( V6() V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) * (AffineMap ((m : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) + n : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ,0 : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( V6() V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V6() ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V6() ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) + ((1 : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) / (2 : ( ( ) ( non empty V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) * (m : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) - n : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( V28() V29() V30() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) : ( ( ) ( V28() V29() V30() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) : ( ( ) ( V28() V29() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) (#) (sin : ( ( V6() V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) * (AffineMap ((m : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) - n : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( V28() V29() V30() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ,0 : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( V6() V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V6() ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V6() ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V6() ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) `| REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( V6() ) ( Relation-like V6() V34() V35() V36() ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) . x : ( ( ) ( V28() V29() ext-real ) Real) : ( ( ) ( V28() V29() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) = (cos : ( ( V6() V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) . (m : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) * x : ( ( ) ( V28() V29() ext-real ) Real) ) : ( ( ) ( V28() V29() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) : ( ( ) ( V28() V29() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) * (cos : ( ( V6() V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) ( Relation-like V6() non empty total V18( REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) , REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) V34() V35() V36() continuous ) Element of K19(K20(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ,REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( Relation-like V34() V35() V36() ) set ) ) : ( ( ) ( ) set ) ) . (n : ( ( ) ( V21() V22() V23() V27() V28() V29() V30() ext-real non negative V50() V51() V52() V53() V54() V55() V56() ) Element of NAT : ( ( ) ( non empty V21() V22() V23() V51() V52() V53() V54() V55() V56() V57() ) Element of K19(REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( ) set ) ) ) * x : ( ( ) ( V28() V29() ext-real ) Real) ) : ( ( ) ( V28() V29() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) : ( ( ) ( V28() V29() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) : ( ( ) ( V28() V29() ext-real ) Element of REAL : ( ( ) ( non empty V51() V52() V53() V57() V62() ) set ) ) ) ) ;