func BitSubtracterOutput (x,y,c) -> ( ( ) ( ) Element of InnerVertices (2GatesCircStr (x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ,y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) ,c : ( ( ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like V14( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ) ) M16( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) Element of K27(K28( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like V14(K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like V14(K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K27(K28( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) * y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) ,'xor' : ( ( Function-like V18(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) , BOOLEAN : ( ( ) ( ) set ) ) ) ( Relation-like K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) -defined BOOLEAN : ( ( ) ( ) set ) -valued Function-like V18(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) , BOOLEAN : ( ( ) ( ) set ) ) ) Element of K27(K28(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) )) : ( ( non empty non void strict unsplit gate`1=arity gate`2isBoolean ) ( non empty non void V69() strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) : ( ( ) ( non empty ) Element of K27( the carrier of (2GatesCircStr (x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ,y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) ,c : ( ( ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like V14( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ) ) M16( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) Element of K27(K28( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like V14(K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like V14(K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K27(K28( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) * y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) ,'xor' : ( ( Function-like V18(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) , BOOLEAN : ( ( ) ( ) set ) ) ) ( Relation-like K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) -defined BOOLEAN : ( ( ) ( ) set ) -valued Function-like V18(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) , BOOLEAN : ( ( ) ( ) set ) ) ) Element of K27(K28(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) )) : ( ( non empty non void strict unsplit gate`1=arity gate`2isBoolean ) ( non empty non void V69() strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) ) ) equals :: FSCIRC_1:def 1
2GatesCircOutput (x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ,y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) ,c : ( ( ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like V14( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ) ) M16( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) Element of K27(K28( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like V14(K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like V14(K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K27(K28( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) * y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) ,'xor' : ( ( Function-like V18(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) , BOOLEAN : ( ( ) ( ) set ) ) ) ( Relation-like K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) -defined BOOLEAN : ( ( ) ( ) set ) -valued Function-like V18(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) , BOOLEAN : ( ( ) ( ) set ) ) ) Element of K27(K28(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( non empty pair ) Element of InnerVertices (2GatesCircStr (x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ,y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) ,c : ( ( ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like V14( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ) ) M16( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) Element of K27(K28( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like V14(K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like V14(K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K27(K28( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) * y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) ,'xor' : ( ( Function-like V18(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) , BOOLEAN : ( ( ) ( ) set ) ) ) ( Relation-like K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) -defined BOOLEAN : ( ( ) ( ) set ) -valued Function-like V18(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) , BOOLEAN : ( ( ) ( ) set ) ) ) Element of K27(K28(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) )) : ( ( non empty non void strict unsplit gate`1=arity gate`2isBoolean ) ( non empty non void V69() strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) : ( ( ) ( non empty ) Element of K27( the carrier of (2GatesCircStr (x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ,y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) ,c : ( ( ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like V14( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ) ) M16( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) Element of K27(K28( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like V14(K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like V14(K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K27(K28( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) * y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) ,'xor' : ( ( Function-like V18(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) , BOOLEAN : ( ( ) ( ) set ) ) ) ( Relation-like K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) -defined BOOLEAN : ( ( ) ( ) set ) -valued Function-like V18(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) , BOOLEAN : ( ( ) ( ) set ) ) ) Element of K27(K28(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) )) : ( ( non empty non void strict unsplit gate`1=arity gate`2isBoolean ) ( non empty non void V69() strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) ) ) ;

func BitSubtracterCirc (x,y,c) -> ( ( strict V105( 2GatesCircStr (x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ,y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) ,c : ( ( ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like V14( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ) ) M16( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) Element of K27(K28( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like V14(K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like V14(K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K27(K28( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) * y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) ,'xor' : ( ( Function-like V18(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) , BOOLEAN : ( ( ) ( ) set ) ) ) ( Relation-like K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) -defined BOOLEAN : ( ( ) ( ) set ) -valued Function-like V18(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) , BOOLEAN : ( ( ) ( ) set ) ) ) Element of K27(K28(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( non empty non void strict unsplit gate`1=arity gate`2isBoolean ) ( non empty non void V69() strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) ) gate`2=den Boolean ) ( strict non-empty finitely-generated V105( 2GatesCircStr (x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ,y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) ,c : ( ( ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like V14( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ) ) M16( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) Element of K27(K28( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like V14(K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like V14(K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K27(K28( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) * y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) ,'xor' : ( ( Function-like V18(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) , BOOLEAN : ( ( ) ( ) set ) ) ) ( Relation-like K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) -defined BOOLEAN : ( ( ) ( ) set ) -valued Function-like V18(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) , BOOLEAN : ( ( ) ( ) set ) ) ) Element of K27(K28(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( non empty non void strict unsplit gate`1=arity gate`2isBoolean ) ( non empty non void V69() strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) ) gate`2=den Boolean ) Circuit of 2GatesCircStr (x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ,y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) ,c : ( ( ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like V14( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ) ) M16( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) Element of K27(K28( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like V14(K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like V14(K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K27(K28( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) * y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) ,'xor' : ( ( Function-like V18(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) , BOOLEAN : ( ( ) ( ) set ) ) ) ( Relation-like K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) -defined BOOLEAN : ( ( ) ( ) set ) -valued Function-like V18(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) , BOOLEAN : ( ( ) ( ) set ) ) ) Element of K27(K28(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( non empty non void strict unsplit gate`1=arity gate`2isBoolean ) ( non empty non void V69() strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) ) equals :: FSCIRC_1:def 2
2GatesCircuit (x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ,y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) ,c : ( ( ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like V14( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ) ) M16( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) Element of K27(K28( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like V14(K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like V14(K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K27(K28( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) * y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) ,'xor' : ( ( Function-like V18(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) , BOOLEAN : ( ( ) ( ) set ) ) ) ( Relation-like K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) -defined BOOLEAN : ( ( ) ( ) set ) -valued Function-like V18(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) , BOOLEAN : ( ( ) ( ) set ) ) ) Element of K27(K28(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( strict V105( 2GatesCircStr (x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ,y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) ,c : ( ( ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like V14( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ) ) M16( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) Element of K27(K28( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like V14(K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like V14(K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K27(K28( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) * y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) ,'xor' : ( ( Function-like V18(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) , BOOLEAN : ( ( ) ( ) set ) ) ) ( Relation-like K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) -defined BOOLEAN : ( ( ) ( ) set ) -valued Function-like V18(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) , BOOLEAN : ( ( ) ( ) set ) ) ) Element of K27(K28(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( non empty non void strict unsplit gate`1=arity gate`2isBoolean ) ( non empty non void V69() strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) ) gate`2=den Boolean ) ( strict non-empty finitely-generated V105( 2GatesCircStr (x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ,y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) ,c : ( ( ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like V14( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ) ) M16( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) Element of K27(K28( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like V14(K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like V14(K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K27(K28( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) * y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) ,'xor' : ( ( Function-like V18(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) , BOOLEAN : ( ( ) ( ) set ) ) ) ( Relation-like K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) -defined BOOLEAN : ( ( ) ( ) set ) -valued Function-like V18(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) , BOOLEAN : ( ( ) ( ) set ) ) ) Element of K27(K28(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( non empty non void strict unsplit gate`1=arity gate`2isBoolean ) ( non empty non void V69() strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) ) gate`2=den Boolean ) MSAlgebra over 2GatesCircStr (x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ,y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) ,c : ( ( ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like V14( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ) ) M16( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) Element of K27(K28( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like V14(K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like V14(K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K27(K28( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) * y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) ,'xor' : ( ( Function-like V18(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) , BOOLEAN : ( ( ) ( ) set ) ) ) ( Relation-like K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) -defined BOOLEAN : ( ( ) ( ) set ) -valued Function-like V18(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) , BOOLEAN : ( ( ) ( ) set ) ) ) Element of K27(K28(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( non empty non void strict unsplit gate`1=arity gate`2isBoolean ) ( non empty non void V69() strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) ) ;

func BorrowIStr (x,y,c) -> ( ( non empty non void strict unsplit gate`1=arity gate`2isBoolean ) ( non empty non void V69() strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) equals :: FSCIRC_1:def 3
((1GateCircStr (<*x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ,y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) *> : ( ( ) ( Relation-like K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like non empty V34() V41(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) FinSequence-like FinSubsequence-like V49() ) set ) ,and2a : ( ( Function-like V18(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) , BOOLEAN : ( ( ) ( ) set ) ) ) ( Relation-like K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) -defined BOOLEAN : ( ( ) ( ) set ) -valued Function-like V18(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) , BOOLEAN : ( ( ) ( ) set ) ) ) Element of K27(K28(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) )) : ( ( non void strict ) ( non empty non void V69() strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) +* (1GateCircStr (<*y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) ,c : ( ( ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like V14( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ) ) M16( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) Element of K27(K28( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like V14(K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like V14(K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K27(K28( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) * y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) *> : ( ( ) ( Relation-like K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like non empty V34() V41(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) FinSequence-like FinSubsequence-like V49() ) set ) ,and2 : ( ( Function-like V18(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) , BOOLEAN : ( ( ) ( ) set ) ) ) ( Relation-like K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) -defined BOOLEAN : ( ( ) ( ) set ) -valued Function-like V18(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) , BOOLEAN : ( ( ) ( ) set ) ) ) Element of K27(K28(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) )) : ( ( non void strict ) ( non empty non void V69() strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) ) : ( ( non empty strict ) ( non empty non void V69() strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) +* (1GateCircStr (<*x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ,c : ( ( ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like V14( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ) ) M16( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) Element of K27(K28( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like V14(K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like V14(K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K27(K28( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) * y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) *> : ( ( ) ( Relation-like K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like non empty V34() V41(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) FinSequence-like FinSubsequence-like V49() ) set ) ,and2a : ( ( Function-like V18(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) , BOOLEAN : ( ( ) ( ) set ) ) ) ( Relation-like K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) -defined BOOLEAN : ( ( ) ( ) set ) -valued Function-like V18(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) , BOOLEAN : ( ( ) ( ) set ) ) ) Element of K27(K28(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) )) : ( ( non void strict ) ( non empty non void V69() strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) : ( ( non empty strict ) ( non empty non void V69() strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) ;

func BorrowStr (x,y,c) -> ( ( non empty non void strict unsplit gate`1=arity gate`2isBoolean ) ( non empty non void V69() strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) equals :: FSCIRC_1:def 4
(BorrowIStr (x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ,y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) ,c : ( ( ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like V14( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ) ) M16( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) Element of K27(K28( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like V14(K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like V14(K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K27(K28( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) * y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) )) : ( ( non empty non void strict unsplit gate`1=arity gate`2isBoolean ) ( non empty non void V69() strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) +* (1GateCircStr (<*[<*x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ,y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) *> : ( ( ) ( Relation-like K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like non empty V34() V41(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) FinSequence-like FinSubsequence-like V49() ) set ) ,and2a : ( ( Function-like V18(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) , BOOLEAN : ( ( ) ( ) set ) ) ) ( Relation-like K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) -defined BOOLEAN : ( ( ) ( ) set ) -valued Function-like V18(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) , BOOLEAN : ( ( ) ( ) set ) ) ) Element of K27(K28(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ] : ( ( ) ( non empty pair ) set ) ,[<*y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) ,c : ( ( ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like V14( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ) ) M16( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) Element of K27(K28( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like V14(K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like V14(K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K27(K28( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) * y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) *> : ( ( ) ( Relation-like K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like non empty V34() V41(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) FinSequence-like FinSubsequence-like V49() ) set ) ,and2 : ( ( Function-like V18(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) , BOOLEAN : ( ( ) ( ) set ) ) ) ( Relation-like K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) -defined BOOLEAN : ( ( ) ( ) set ) -valued Function-like V18(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) , BOOLEAN : ( ( ) ( ) set ) ) ) Element of K27(K28(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ] : ( ( ) ( non empty pair ) set ) ,[<*x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ,c : ( ( ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like V14( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ) ) M16( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) Element of K27(K28( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like V14(K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like V14(K236( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) -defined the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V18( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K27(K28( the carrier' of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) * y : ( ( ) ( ) MSAlgebra over x : ( ( non empty ) ( non empty V69() ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) *> : ( ( ) ( Relation-like K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like non empty V34() V41(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) FinSequence-like FinSubsequence-like V49() ) set ) ,and2a : ( ( Function-like V18(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) , BOOLEAN : ( ( ) ( ) set ) ) ) ( Relation-like K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) -defined BOOLEAN : ( ( ) ( ) set ) -valued Function-like V18(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) , BOOLEAN : ( ( ) ( ) set ) ) ) Element of K27(K28(K237(2 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ] : ( ( ) ( non empty pair ) set ) *> : ( ( ) ( Relation-like K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like non empty V34() V41(3 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) FinSequence-like FinSubsequence-like V49() ) set ) ,or3 : ( ( Function-like V18(K237(3 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) , BOOLEAN : ( ( ) ( ) set ) ) ) ( Relation-like K237(3 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) -defined BOOLEAN : ( ( ) ( ) set ) -valued Function-like V18(K237(3 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) , BOOLEAN : ( ( ) ( ) set ) ) ) Element of K27(K28(K237(3 : ( ( ) ( non empty non pair V21() V22() V23() V27() ) Element of K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) M8( BOOLEAN : ( ( ) ( ) set ) )) ,BOOLEAN : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) )) : ( ( non void strict ) ( non empty non void V69() strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) : ( ( non empty strict ) ( non empty non void V69() strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) ;