K92() is V11() V24() V25() V26() V31() cardinal limit_cardinal set
K19(K92()) is V31() set
1 is V24() V25() V26() V30() V31() cardinal M2(K92())
K20(1,1) is set
K19(K20(1,1)) is set
K20(K20(1,1),1) is set
K19(K20(K20(1,1),1)) is set
0 is V11() V12() V24() V25() V26() V28() V29() V30() V31() cardinal 0 -element set
{0} is V11() V12() 1 -element set
op2 is V1() V4(K20(1,1)) V5(1) V6() V18(K20(1,1),1) M2(K19(K20(K20(1,1),1)))
op1 is V1() V4(1) V5(1) V6() V18(1,1) M2(K19(K20(1,1)))
(1,op2,op1) is () ()
() is () ()
(1,op2,op2,op1) is () ()
() is () ()
the carrier of () is set
the carrier of () is set
L is non empty V45() V46() 1 -element ()
the carrier of L is V11() V12() V31() 1 -element set
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
( the carrier of L, the of L) is () ()
the carrier of ( the carrier of L, the of L) is set
the carrier of () is V11() V12() V31() 1 -element set
the of () is V1() V4( the carrier of ()) V5( the carrier of ()) V6() V18( the carrier of (), the carrier of ()) M2(K19(K20( the carrier of (), the carrier of ())))
K20( the carrier of (), the carrier of ()) is set
K19(K20( the carrier of (), the carrier of ())) is set
( the carrier of (), the of ()) is non empty V45() V46() 1 -element () ()
L is non empty ()
the carrier of L is V11() set
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
L9 is M2( the carrier of L)
the of L . L9 is M2( the carrier of L)
L is non empty ()
the carrier of L is V11() set
L is non empty ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
x is M2( the carrier of L)
(L,x) is M2( the carrier of L)
the of L . x is M2( the carrier of L)
(L,L9) "\/" (L,x) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,L9),(L,x)) is M2( the carrier of L)
(L,((L,L9) "\/" (L,x))) is M2( the carrier of L)
the of L . ((L,L9) "\/" (L,x)) is M2( the carrier of L)
the carrier of () is V11() V12() V31() 1 -element set
L9 is M2( the carrier of ())
x is M2( the carrier of ())
L9 "\/" x is M2( the carrier of ())
the L_join of () is V1() V4(K20( the carrier of (), the carrier of ())) V5( the carrier of ()) V6() V18(K20( the carrier of (), the carrier of ()), the carrier of ()) M2(K19(K20(K20( the carrier of (), the carrier of ()), the carrier of ())))
K20( the carrier of (), the carrier of ()) is set
K20(K20( the carrier of (), the carrier of ()), the carrier of ()) is set
K19(K20(K20( the carrier of (), the carrier of ()), the carrier of ())) is set
the L_join of () . (L9,x) is M2( the carrier of ())
x "\/" L9 is M2( the carrier of ())
the L_join of () . (x,L9) is M2( the carrier of ())
L9 is M2( the carrier of ())
x is M2( the carrier of ())
L9 "\/" x is M2( the carrier of ())
the L_join of () is V1() V4(K20( the carrier of (), the carrier of ())) V5( the carrier of ()) V6() V18(K20( the carrier of (), the carrier of ()), the carrier of ()) M2(K19(K20(K20( the carrier of (), the carrier of ()), the carrier of ())))
K20( the carrier of (), the carrier of ()) is set
K20(K20( the carrier of (), the carrier of ()), the carrier of ()) is set
K19(K20(K20( the carrier of (), the carrier of ()), the carrier of ())) is set
the L_join of () . (L9,x) is M2( the carrier of ())
y is M2( the carrier of ())
(L9 "\/" x) "\/" y is M2( the carrier of ())
the L_join of () . ((L9 "\/" x),y) is M2( the carrier of ())
x "\/" y is M2( the carrier of ())
the L_join of () . (x,y) is M2( the carrier of ())
L9 "\/" (x "\/" y) is M2( the carrier of ())
the L_join of () . (L9,(x "\/" y)) is M2( the carrier of ())
L9 is M2( the carrier of ())
x is M2( the carrier of ())
L9 "\/" x is M2( the carrier of ())
the L_join of () is V1() V4(K20( the carrier of (), the carrier of ())) V5( the carrier of ()) V6() V18(K20( the carrier of (), the carrier of ()), the carrier of ()) M2(K19(K20(K20( the carrier of (), the carrier of ()), the carrier of ())))
K20( the carrier of (), the carrier of ()) is set
K20(K20( the carrier of (), the carrier of ()), the carrier of ()) is set
K19(K20(K20( the carrier of (), the carrier of ()), the carrier of ())) is set
the L_join of () . (L9,x) is M2( the carrier of ())
((),(L9 "\/" x)) is M2( the carrier of ())
the of () is V1() V4( the carrier of ()) V5( the carrier of ()) V6() V18( the carrier of (), the carrier of ()) M2(K19(K20( the carrier of (), the carrier of ())))
K19(K20( the carrier of (), the carrier of ())) is set
the of () . (L9 "\/" x) is M2( the carrier of ())
((),x) is M2( the carrier of ())
the of () . x is M2( the carrier of ())
L9 "\/" ((),x) is M2( the carrier of ())
the L_join of () . (L9,((),x)) is M2( the carrier of ())
((),(L9 "\/" ((),x))) is M2( the carrier of ())
the of () . (L9 "\/" ((),x)) is M2( the carrier of ())
((),(L9 "\/" x)) "\/" ((),(L9 "\/" ((),x))) is M2( the carrier of ())
the L_join of () . (((),(L9 "\/" x)),((),(L9 "\/" ((),x)))) is M2( the carrier of ())
((),(((),(L9 "\/" x)) "\/" ((),(L9 "\/" ((),x))))) is M2( the carrier of ())
the of () . (((),(L9 "\/" x)) "\/" ((),(L9 "\/" ((),x)))) is M2( the carrier of ())
L9 is M2( the carrier of ())
((),L9) is M2( the carrier of ())
the of () is V1() V4( the carrier of ()) V5( the carrier of ()) V6() V18( the carrier of (), the carrier of ()) M2(K19(K20( the carrier of (), the carrier of ())))
K20( the carrier of (), the carrier of ()) is set
K19(K20( the carrier of (), the carrier of ())) is set
the of () . L9 is M2( the carrier of ())
x is M2( the carrier of ())
((),x) is M2( the carrier of ())
the of () . x is M2( the carrier of ())
((),L9) "\/" ((),x) is M2( the carrier of ())
the L_join of () is V1() V4(K20( the carrier of (), the carrier of ())) V5( the carrier of ()) V6() V18(K20( the carrier of (), the carrier of ()), the carrier of ()) M2(K19(K20(K20( the carrier of (), the carrier of ()), the carrier of ())))
K20(K20( the carrier of (), the carrier of ()), the carrier of ()) is set
K19(K20(K20( the carrier of (), the carrier of ()), the carrier of ())) is set
the L_join of () . (((),L9),((),x)) is M2( the carrier of ())
((),(((),L9) "\/" ((),x))) is M2( the carrier of ())
the of () . (((),L9) "\/" ((),x)) is M2( the carrier of ())
((),L9) "\/" x is M2( the carrier of ())
the L_join of () . (((),L9),x) is M2( the carrier of ())
((),(((),L9) "\/" x)) is M2( the carrier of ())
the of () . (((),L9) "\/" x) is M2( the carrier of ())
((),(((),L9) "\/" ((),x))) "\/" ((),(((),L9) "\/" x)) is M2( the carrier of ())
the L_join of () . (((),(((),L9) "\/" ((),x))),((),(((),L9) "\/" x))) is M2( the carrier of ())
L9 is M2( the carrier of ())
L9 "\/" L9 is M2( the carrier of ())
the L_join of () is V1() V4(K20( the carrier of (), the carrier of ())) V5( the carrier of ()) V6() V18(K20( the carrier of (), the carrier of ()), the carrier of ()) M2(K19(K20(K20( the carrier of (), the carrier of ()), the carrier of ())))
K20( the carrier of (), the carrier of ()) is set
K20(K20( the carrier of (), the carrier of ()), the carrier of ()) is set
K19(K20(K20( the carrier of (), the carrier of ()), the carrier of ())) is set
the L_join of () . (L9,L9) is M2( the carrier of ())
the carrier of () is V11() V12() V31() 1 -element set
L9 is M2( the carrier of ())
x is M2( the carrier of ())
L9 "\/" x is M2( the carrier of ())
the L_join of () is V1() V4(K20( the carrier of (), the carrier of ())) V5( the carrier of ()) V6() V18(K20( the carrier of (), the carrier of ()), the carrier of ()) M2(K19(K20(K20( the carrier of (), the carrier of ()), the carrier of ())))
K20( the carrier of (), the carrier of ()) is set
K20(K20( the carrier of (), the carrier of ()), the carrier of ()) is set
K19(K20(K20( the carrier of (), the carrier of ()), the carrier of ())) is set
the L_join of () . (L9,x) is M2( the carrier of ())
x "\/" L9 is M2( the carrier of ())
the L_join of () . (x,L9) is M2( the carrier of ())
L9 is M2( the carrier of ())
x is M2( the carrier of ())
L9 "\/" x is M2( the carrier of ())
the L_join of () is V1() V4(K20( the carrier of (), the carrier of ())) V5( the carrier of ()) V6() V18(K20( the carrier of (), the carrier of ()), the carrier of ()) M2(K19(K20(K20( the carrier of (), the carrier of ()), the carrier of ())))
K20( the carrier of (), the carrier of ()) is set
K20(K20( the carrier of (), the carrier of ()), the carrier of ()) is set
K19(K20(K20( the carrier of (), the carrier of ()), the carrier of ())) is set
the L_join of () . (L9,x) is M2( the carrier of ())
y is M2( the carrier of ())
(L9 "\/" x) "\/" y is M2( the carrier of ())
the L_join of () . ((L9 "\/" x),y) is M2( the carrier of ())
x "\/" y is M2( the carrier of ())
the L_join of () . (x,y) is M2( the carrier of ())
L9 "\/" (x "\/" y) is M2( the carrier of ())
the L_join of () . (L9,(x "\/" y)) is M2( the carrier of ())
L9 is M2( the carrier of ())
((),L9) is M2( the carrier of ())
the of () is V1() V4( the carrier of ()) V5( the carrier of ()) V6() V18( the carrier of (), the carrier of ()) M2(K19(K20( the carrier of (), the carrier of ())))
K20( the carrier of (), the carrier of ()) is set
K19(K20( the carrier of (), the carrier of ())) is set
the of () . L9 is M2( the carrier of ())
x is M2( the carrier of ())
((),x) is M2( the carrier of ())
the of () . x is M2( the carrier of ())
((),L9) "\/" ((),x) is M2( the carrier of ())
the L_join of () is V1() V4(K20( the carrier of (), the carrier of ())) V5( the carrier of ()) V6() V18(K20( the carrier of (), the carrier of ()), the carrier of ()) M2(K19(K20(K20( the carrier of (), the carrier of ()), the carrier of ())))
K20(K20( the carrier of (), the carrier of ()), the carrier of ()) is set
K19(K20(K20( the carrier of (), the carrier of ()), the carrier of ())) is set
the L_join of () . (((),L9),((),x)) is M2( the carrier of ())
((),(((),L9) "\/" ((),x))) is M2( the carrier of ())
the of () . (((),L9) "\/" ((),x)) is M2( the carrier of ())
((),L9) "\/" x is M2( the carrier of ())
the L_join of () . (((),L9),x) is M2( the carrier of ())
((),(((),L9) "\/" x)) is M2( the carrier of ())
the of () . (((),L9) "\/" x) is M2( the carrier of ())
((),(((),L9) "\/" ((),x))) "\/" ((),(((),L9) "\/" x)) is M2( the carrier of ())
the L_join of () . (((),(((),L9) "\/" ((),x))),((),(((),L9) "\/" x))) is M2( the carrier of ())
L9 is M2( the carrier of ())
x is M2( the carrier of ())
L9 "\/" x is M2( the carrier of ())
the L_join of () is V1() V4(K20( the carrier of (), the carrier of ())) V5( the carrier of ()) V6() V18(K20( the carrier of (), the carrier of ()), the carrier of ()) M2(K19(K20(K20( the carrier of (), the carrier of ()), the carrier of ())))
K20( the carrier of (), the carrier of ()) is set
K20(K20( the carrier of (), the carrier of ()), the carrier of ()) is set
K19(K20(K20( the carrier of (), the carrier of ()), the carrier of ())) is set
the L_join of () . (L9,x) is M2( the carrier of ())
((),(L9 "\/" x)) is M2( the carrier of ())
the of () is V1() V4( the carrier of ()) V5( the carrier of ()) V6() V18( the carrier of (), the carrier of ()) M2(K19(K20( the carrier of (), the carrier of ())))
K19(K20( the carrier of (), the carrier of ())) is set
the of () . (L9 "\/" x) is M2( the carrier of ())
((),x) is M2( the carrier of ())
the of () . x is M2( the carrier of ())
L9 "\/" ((),x) is M2( the carrier of ())
the L_join of () . (L9,((),x)) is M2( the carrier of ())
((),(L9 "\/" ((),x))) is M2( the carrier of ())
the of () . (L9 "\/" ((),x)) is M2( the carrier of ())
((),(L9 "\/" x)) "\/" ((),(L9 "\/" ((),x))) is M2( the carrier of ())
the L_join of () . (((),(L9 "\/" x)),((),(L9 "\/" ((),x)))) is M2( the carrier of ())
((),(((),(L9 "\/" x)) "\/" ((),(L9 "\/" ((),x))))) is M2( the carrier of ())
the of () . (((),(L9 "\/" x)) "\/" ((),(L9 "\/" ((),x)))) is M2( the carrier of ())
the carrier of () is V11() V12() V31() 1 -element set
L9 is M2( the carrier of ())
x is M2( the carrier of ())
L9 "/\" x is M2( the carrier of ())
the L_meet of () is V1() V4(K20( the carrier of (), the carrier of ())) V5( the carrier of ()) V6() V18(K20( the carrier of (), the carrier of ()), the carrier of ()) M2(K19(K20(K20( the carrier of (), the carrier of ()), the carrier of ())))
K20( the carrier of (), the carrier of ()) is set
K20(K20( the carrier of (), the carrier of ()), the carrier of ()) is set
K19(K20(K20( the carrier of (), the carrier of ()), the carrier of ())) is set
the L_meet of () . (L9,x) is M2( the carrier of ())
x "/\" L9 is M2( the carrier of ())
the L_meet of () . (x,L9) is M2( the carrier of ())
L9 is M2( the carrier of ())
x is M2( the carrier of ())
L9 "/\" x is M2( the carrier of ())
the L_meet of () is V1() V4(K20( the carrier of (), the carrier of ())) V5( the carrier of ()) V6() V18(K20( the carrier of (), the carrier of ()), the carrier of ()) M2(K19(K20(K20( the carrier of (), the carrier of ()), the carrier of ())))
K20( the carrier of (), the carrier of ()) is set
K20(K20( the carrier of (), the carrier of ()), the carrier of ()) is set
K19(K20(K20( the carrier of (), the carrier of ()), the carrier of ())) is set
the L_meet of () . (L9,x) is M2( the carrier of ())
y is M2( the carrier of ())
(L9 "/\" x) "/\" y is M2( the carrier of ())
the L_meet of () . ((L9 "/\" x),y) is M2( the carrier of ())
x "/\" y is M2( the carrier of ())
the L_meet of () . (x,y) is M2( the carrier of ())
L9 "/\" (x "/\" y) is M2( the carrier of ())
the L_meet of () . (L9,(x "/\" y)) is M2( the carrier of ())
L9 is M2( the carrier of ())
x is M2( the carrier of ())
L9 "/\" x is M2( the carrier of ())
the L_meet of () is V1() V4(K20( the carrier of (), the carrier of ())) V5( the carrier of ()) V6() V18(K20( the carrier of (), the carrier of ()), the carrier of ()) M2(K19(K20(K20( the carrier of (), the carrier of ()), the carrier of ())))
K20( the carrier of (), the carrier of ()) is set
K20(K20( the carrier of (), the carrier of ()), the carrier of ()) is set
K19(K20(K20( the carrier of (), the carrier of ()), the carrier of ())) is set
the L_meet of () . (L9,x) is M2( the carrier of ())
(L9 "/\" x) "\/" x is M2( the carrier of ())
the L_join of () is V1() V4(K20( the carrier of (), the carrier of ())) V5( the carrier of ()) V6() V18(K20( the carrier of (), the carrier of ()), the carrier of ()) commutative associative M2(K19(K20(K20( the carrier of (), the carrier of ()), the carrier of ())))
the L_join of () . ((L9 "/\" x),x) is M2( the carrier of ())
L9 is M2( the carrier of ())
x is M2( the carrier of ())
L9 "\/" x is M2( the carrier of ())
the L_join of () is V1() V4(K20( the carrier of (), the carrier of ())) V5( the carrier of ()) V6() V18(K20( the carrier of (), the carrier of ()), the carrier of ()) commutative associative M2(K19(K20(K20( the carrier of (), the carrier of ()), the carrier of ())))
K20( the carrier of (), the carrier of ()) is set
K20(K20( the carrier of (), the carrier of ()), the carrier of ()) is set
K19(K20(K20( the carrier of (), the carrier of ()), the carrier of ())) is set
the L_join of () . (L9,x) is M2( the carrier of ())
L9 "/\" (L9 "\/" x) is M2( the carrier of ())
the L_meet of () is V1() V4(K20( the carrier of (), the carrier of ())) V5( the carrier of ()) V6() V18(K20( the carrier of (), the carrier of ()), the carrier of ()) M2(K19(K20(K20( the carrier of (), the carrier of ()), the carrier of ())))
the L_meet of () . (L9,(L9 "\/" x)) is M2( the carrier of ())
L9 "\/" x is M2( the carrier of ())
L9 "/\" (L9 "\/" x) is M2( the carrier of ())
the L_meet of () . (L9,(L9 "\/" x)) is M2( the carrier of ())
L is non empty join-commutative ()
the carrier of L is V11() set
y is M2( the carrier of L)
c is M2( the carrier of L)
y "\/" c is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . (y,c) is M2( the carrier of L)
c "\/" y is M2( the carrier of L)
the L_join of L . (c,y) is M2( the carrier of L)
L is non empty join-commutative join-associative () ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
x is M2( the carrier of L)
(L,L9,x) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,x) is M2( the carrier of L)
the of L . x is M2( the carrier of L)
(L,L9) "\/" (L,x) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,L9),(L,x)) is M2( the carrier of L)
(L,((L,L9) "\/" (L,x))) is M2( the carrier of L)
the of L . ((L,L9) "\/" (L,x)) is M2( the carrier of L)
(L,L9,(L,x)) is M2( the carrier of L)
(L,(L,x)) is M2( the carrier of L)
the of L . (L,x) is M2( the carrier of L)
(L,L9) "\/" (L,(L,x)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,(L,x))) is M2( the carrier of L)
(L,((L,L9) "\/" (L,(L,x)))) is M2( the carrier of L)
the of L . ((L,L9) "\/" (L,(L,x))) is M2( the carrier of L)
(L,(L,L9,x),(L,L9,(L,x))) is M2( the carrier of L)
the L_join of L . ((L,L9,x),(L,L9,(L,x))) is M2( the carrier of L)
L is non empty join-commutative join-associative () ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,L9,(L,L9)) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . (L9,(L,L9)) is M2( the carrier of L)
(L,(L,L9)) is M2( the carrier of L)
the of L . (L,L9) is M2( the carrier of L)
(L,(L,L9),(L,(L,L9))) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,(L,L9))) is M2( the carrier of L)
(L,(L,(L,L9))) is M2( the carrier of L)
the of L . (L,(L,L9)) is M2( the carrier of L)
(L,(L,L9),(L,(L,(L,L9)))) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,(L,(L,L9)))) is M2( the carrier of L)
(L,(L,(L,L9),(L,(L,(L,L9))))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,(L,(L,L9)))) is M2( the carrier of L)
(L,(L,(L,L9),(L,(L,L9)))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,(L,L9))) is M2( the carrier of L)
(L,(L,(L,(L,L9),(L,(L,(L,L9))))),(L,(L,(L,L9),(L,(L,L9))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,(L,(L,L9))))),(L,(L,(L,L9),(L,(L,L9))))) is M2( the carrier of L)
(L,(L,(L,L9)),(L,(L,(L,L9)))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,(L,(L,L9)))) is M2( the carrier of L)
(L,(L,(L,(L,L9)),(L,(L,(L,L9))))) is M2( the carrier of L)
the of L . (L,(L,(L,L9)),(L,(L,(L,L9)))) is M2( the carrier of L)
(L,(L,(L,L9)),(L,(L,L9))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,(L,L9))) is M2( the carrier of L)
(L,(L,(L,(L,L9)),(L,(L,L9)))) is M2( the carrier of L)
the of L . (L,(L,(L,L9)),(L,(L,L9))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9)),(L,(L,(L,L9))))),(L,(L,(L,(L,L9)),(L,(L,L9))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9)),(L,(L,(L,L9))))),(L,(L,(L,(L,L9)),(L,(L,L9))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9),(L,(L,(L,L9))))),(L,(L,(L,L9),(L,(L,L9))))),(L,(L,(L,(L,L9)),(L,(L,L9))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9),(L,(L,(L,L9))))),(L,(L,(L,L9),(L,(L,L9))))),(L,(L,(L,(L,L9)),(L,(L,L9))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9),(L,(L,(L,L9))))),(L,(L,(L,L9),(L,(L,L9))))),(L,(L,(L,(L,L9)),(L,(L,L9))))),(L,(L,(L,(L,L9)),(L,(L,(L,L9)))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9),(L,(L,(L,L9))))),(L,(L,(L,L9),(L,(L,L9))))),(L,(L,(L,(L,L9)),(L,(L,L9))))),(L,(L,(L,(L,L9)),(L,(L,(L,L9)))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9)),(L,(L,L9)))),(L,(L,(L,L9),(L,(L,L9))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9)),(L,(L,L9)))),(L,(L,(L,L9),(L,(L,L9))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9)),(L,(L,L9)))),(L,(L,(L,L9),(L,(L,L9))))),(L,(L,(L,L9),(L,(L,(L,L9)))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9)),(L,(L,L9)))),(L,(L,(L,L9),(L,(L,L9))))),(L,(L,(L,L9),(L,(L,(L,L9)))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9)),(L,(L,L9)))),(L,(L,(L,L9),(L,(L,L9))))),(L,(L,(L,L9),(L,(L,(L,L9)))))),(L,(L,(L,(L,L9)),(L,(L,(L,L9)))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,L9)),(L,(L,L9)))),(L,(L,(L,L9),(L,(L,L9))))),(L,(L,(L,L9),(L,(L,(L,L9)))))),(L,(L,(L,(L,L9)),(L,(L,(L,L9)))))) is M2( the carrier of L)
(L,(L,(L,L9)),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,L9)) is M2( the carrier of L)
(L,(L,(L,(L,L9)),(L,L9))) is M2( the carrier of L)
the of L . (L,(L,(L,L9)),(L,L9)) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9)),(L,L9))),(L,(L,(L,(L,L9)),(L,(L,L9))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9)),(L,L9))),(L,(L,(L,(L,L9)),(L,(L,L9))))) is M2( the carrier of L)
(L,(L,(L,(L,L9),(L,(L,(L,L9))))),(L,(L,(L,(L,L9)),(L,(L,(L,L9)))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,(L,(L,L9))))),(L,(L,(L,(L,L9)),(L,(L,(L,L9)))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9)),(L,L9))),(L,(L,(L,(L,L9)),(L,(L,L9))))),(L,(L,(L,(L,L9),(L,(L,(L,L9))))),(L,(L,(L,(L,L9)),(L,(L,(L,L9))))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9)),(L,L9))),(L,(L,(L,(L,L9)),(L,(L,L9))))),(L,(L,(L,(L,L9),(L,(L,(L,L9))))),(L,(L,(L,(L,L9)),(L,(L,(L,L9))))))) is M2( the carrier of L)
(L,(L,L9),(L,(L,(L,(L,L9),(L,(L,(L,L9))))),(L,(L,(L,(L,L9)),(L,(L,(L,L9))))))) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,(L,(L,(L,L9),(L,(L,(L,L9))))),(L,(L,(L,(L,L9)),(L,(L,(L,L9))))))) is M2( the carrier of L)
L is non empty join-commutative join-associative () ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,(L,L9)) is M2( the carrier of L)
the of L . (L,L9) is M2( the carrier of L)
(L,(L,(L,L9))) is M2( the carrier of L)
the of L . (L,(L,L9)) is M2( the carrier of L)
(L,(L,(L,(L,L9))),(L,(L,L9))) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,(L,(L,L9))),(L,(L,L9))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9))),(L,(L,L9)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,L9))),(L,(L,L9))) is M2( the carrier of L)
(L,(L,(L,(L,L9))),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9))),(L,L9)) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9))),(L,L9))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,L9))),(L,L9)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9))),(L,(L,L9)))),(L,(L,(L,(L,(L,L9))),(L,L9)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9))),(L,(L,L9)))),(L,(L,(L,(L,(L,L9))),(L,L9)))) is M2( the carrier of L)
(L,(L,L9),(L,(L,(L,L9)))) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,(L,(L,L9)))) is M2( the carrier of L)
(L,(L,(L,L9),(L,(L,(L,L9))))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,(L,(L,L9)))) is M2( the carrier of L)
(L,(L,L9),(L,(L,L9))) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,(L,L9))) is M2( the carrier of L)
(L,(L,(L,L9),(L,(L,L9)))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,(L,L9))) is M2( the carrier of L)
(L,(L,(L,(L,L9),(L,(L,(L,L9))))),(L,(L,(L,L9),(L,(L,L9))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,(L,(L,L9))))),(L,(L,(L,L9),(L,(L,L9))))) is M2( the carrier of L)
L is non empty join-commutative join-associative () ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,L9,(L,L9)) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . (L9,(L,L9)) is M2( the carrier of L)
x is M2( the carrier of L)
(L,x) is M2( the carrier of L)
the of L . x is M2( the carrier of L)
(L,x,(L,x)) is M2( the carrier of L)
the L_join of L . (x,(L,x)) is M2( the carrier of L)
(L,(L,x)) is M2( the carrier of L)
the of L . (L,x) is M2( the carrier of L)
(L,(L,L9),(L,(L,x))) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,(L,x))) is M2( the carrier of L)
(L,(L,(L,L9),(L,(L,x)))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,(L,x))) is M2( the carrier of L)
(L,(L,L9),(L,x)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,x)) is M2( the carrier of L)
(L,(L,(L,L9),(L,x))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,x)) is M2( the carrier of L)
(L,(L,(L,(L,L9),(L,(L,x)))),(L,(L,(L,L9),(L,x)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,(L,x)))),(L,(L,(L,L9),(L,x)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9),(L,(L,x)))),(L,(L,(L,L9),(L,x)))),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9),(L,(L,x)))),(L,(L,(L,L9),(L,x)))),(L,L9)) is M2( the carrier of L)
(L,(L,L9)) is M2( the carrier of L)
the of L . (L,L9) is M2( the carrier of L)
(L,(L,(L,L9)),(L,(L,x))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,(L,x))) is M2( the carrier of L)
(L,(L,(L,(L,L9)),(L,(L,x)))) is M2( the carrier of L)
the of L . (L,(L,(L,L9)),(L,(L,x))) is M2( the carrier of L)
(L,(L,(L,L9)),(L,x)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,x)) is M2( the carrier of L)
(L,(L,(L,(L,L9)),(L,x))) is M2( the carrier of L)
the of L . (L,(L,(L,L9)),(L,x)) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9)),(L,(L,x)))),(L,(L,(L,(L,L9)),(L,x)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9)),(L,(L,x)))),(L,(L,(L,(L,L9)),(L,x)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9),(L,(L,x)))),(L,(L,(L,L9),(L,x)))),(L,(L,(L,(L,(L,L9)),(L,(L,x)))),(L,(L,(L,(L,L9)),(L,x))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9),(L,(L,x)))),(L,(L,(L,L9),(L,x)))),(L,(L,(L,(L,(L,L9)),(L,(L,x)))),(L,(L,(L,(L,L9)),(L,x))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9)),(L,(L,x)))),(L,(L,(L,(L,L9),(L,(L,x)))),(L,(L,(L,L9),(L,x))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9)),(L,(L,x)))),(L,(L,(L,(L,L9),(L,(L,x)))),(L,(L,(L,L9),(L,x))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9)),(L,x))),(L,(L,(L,(L,(L,L9)),(L,(L,x)))),(L,(L,(L,(L,L9),(L,(L,x)))),(L,(L,(L,L9),(L,x)))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9)),(L,x))),(L,(L,(L,(L,(L,L9)),(L,(L,x)))),(L,(L,(L,(L,L9),(L,(L,x)))),(L,(L,(L,L9),(L,x)))))) is M2( the carrier of L)
(L,(L,(L,(L,L9),(L,(L,x)))),(L,(L,(L,(L,L9)),(L,(L,x))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,(L,x)))),(L,(L,(L,(L,L9)),(L,(L,x))))) is M2( the carrier of L)
(L,(L,(L,(L,L9),(L,x))),(L,(L,(L,(L,L9),(L,(L,x)))),(L,(L,(L,(L,L9)),(L,(L,x)))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,x))),(L,(L,(L,(L,L9),(L,(L,x)))),(L,(L,(L,(L,L9)),(L,(L,x)))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9)),(L,x))),(L,(L,(L,(L,L9),(L,x))),(L,(L,(L,(L,L9),(L,(L,x)))),(L,(L,(L,(L,L9)),(L,(L,x))))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9)),(L,x))),(L,(L,(L,(L,L9),(L,x))),(L,(L,(L,(L,L9),(L,(L,x)))),(L,(L,(L,(L,L9)),(L,(L,x))))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9)),(L,x))),(L,(L,(L,L9),(L,x)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9)),(L,x))),(L,(L,(L,L9),(L,x)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9)),(L,x))),(L,(L,(L,L9),(L,x)))),(L,(L,(L,(L,L9),(L,(L,x)))),(L,(L,(L,(L,L9)),(L,(L,x)))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9)),(L,x))),(L,(L,(L,L9),(L,x)))),(L,(L,(L,(L,L9),(L,(L,x)))),(L,(L,(L,(L,L9)),(L,(L,x)))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9)),(L,(L,x)))),(L,(L,(L,L9),(L,(L,x))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9)),(L,(L,x)))),(L,(L,(L,L9),(L,(L,x))))) is M2( the carrier of L)
(L,x,(L,(L,(L,(L,(L,L9)),(L,(L,x)))),(L,(L,(L,L9),(L,(L,x)))))) is M2( the carrier of L)
the L_join of L . (x,(L,(L,(L,(L,(L,L9)),(L,(L,x)))),(L,(L,(L,L9),(L,(L,x)))))) is M2( the carrier of L)
L is non empty join-commutative join-associative () () ()
the carrier of L is V11() set
the M2( the carrier of L) is M2( the carrier of L)
(L, the M2( the carrier of L)) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . the M2( the carrier of L) is M2( the carrier of L)
(L,(L, the M2( the carrier of L)), the M2( the carrier of L)) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L, the M2( the carrier of L)), the M2( the carrier of L)) is M2( the carrier of L)
x is M2( the carrier of L)
y is M2( the carrier of L)
(L,x,y) is M2( the carrier of L)
the L_join of L . (x,y) is M2( the carrier of L)
(L,y) is M2( the carrier of L)
the of L . y is M2( the carrier of L)
(L,y,(L,y)) is M2( the carrier of L)
the L_join of L . (y,(L,y)) is M2( the carrier of L)
(L,(L,y),y) is M2( the carrier of L)
the L_join of L . ((L,y),y) is M2( the carrier of L)
(L,(L,(L,y),y),y) is M2( the carrier of L)
the L_join of L . ((L,(L,y),y),y) is M2( the carrier of L)
(L,y,y) is M2( the carrier of L)
the L_join of L . (y,y) is M2( the carrier of L)
(L,(L,y),(L,y,y)) is M2( the carrier of L)
the L_join of L . ((L,y),(L,y,y)) is M2( the carrier of L)
L is non empty join-commutative join-associative () () ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
x is M2( the carrier of L)
(L,x,L9) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . (x,L9) is M2( the carrier of L)
y is M2( the carrier of L)
(L,y) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K19(K20( the carrier of L, the carrier of L)) is set
the of L . y is M2( the carrier of L)
(L,y,(L,y)) is M2( the carrier of L)
the L_join of L . (y,(L,y)) is M2( the carrier of L)
L is non empty ()
L is non empty join-commutative join-associative upper-bounded () () ()
the carrier of L is V11() set
Top L is M2( the carrier of L)
L9 is M2( the carrier of L)
the M2( the carrier of L) is M2( the carrier of L)
y is M2( the carrier of L)
(L,y) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . y is M2( the carrier of L)
(L,y,(L,y)) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . (y,(L,y)) is M2( the carrier of L)
c is M2( the carrier of L)
(L,(L,y,(L,y)),c) is M2( the carrier of L)
the L_join of L . ((L,y,(L,y)),c) is M2( the carrier of L)
(L,c,(L,y,(L,y))) is M2( the carrier of L)
the L_join of L . (c,(L,y,(L,y))) is M2( the carrier of L)
(L,c) is M2( the carrier of L)
the of L . c is M2( the carrier of L)
(L,c,(L,c)) is M2( the carrier of L)
the L_join of L . (c,(L,c)) is M2( the carrier of L)
(L,(L,c,(L,c)),c) is M2( the carrier of L)
the L_join of L . ((L,c,(L,c)),c) is M2( the carrier of L)
(L,c,c) is M2( the carrier of L)
the L_join of L . (c,c) is M2( the carrier of L)
(L,(L,c),(L,c,c)) is M2( the carrier of L)
the L_join of L . ((L,c),(L,c,c)) is M2( the carrier of L)
(L,(L,c),c) is M2( the carrier of L)
the L_join of L . ((L,c),c) is M2( the carrier of L)
(L,(L,y),y) is M2( the carrier of L)
the L_join of L . ((L,y),y) is M2( the carrier of L)
x is M2( the carrier of L)
(L,x) is M2( the carrier of L)
the of L . x is M2( the carrier of L)
(L,x,(L,x)) is M2( the carrier of L)
the L_join of L . (x,(L,x)) is M2( the carrier of L)
y is M2( the carrier of L)
(L,(L,x,(L,x)),y) is M2( the carrier of L)
the L_join of L . ((L,x,(L,x)),y) is M2( the carrier of L)
(L,y) is M2( the carrier of L)
the of L . y is M2( the carrier of L)
(L,y,(L,y)) is M2( the carrier of L)
the L_join of L . (y,(L,y)) is M2( the carrier of L)
(L,(L,y,(L,y)),y) is M2( the carrier of L)
the L_join of L . ((L,y,(L,y)),y) is M2( the carrier of L)
(L,y,y) is M2( the carrier of L)
the L_join of L . (y,y) is M2( the carrier of L)
(L,(L,y),(L,y,y)) is M2( the carrier of L)
the L_join of L . ((L,y),(L,y,y)) is M2( the carrier of L)
(L,(L,y),y) is M2( the carrier of L)
the L_join of L . ((L,y),y) is M2( the carrier of L)
(L,(L,x),x) is M2( the carrier of L)
the L_join of L . ((L,x),x) is M2( the carrier of L)
y is M2( the carrier of L)
(L,y,(L,x,(L,x))) is M2( the carrier of L)
the L_join of L . (y,(L,x,(L,x))) is M2( the carrier of L)
L is non empty join-commutative join-associative upper-bounded () () ()
the carrier of L is V11() set
the M2( the carrier of L) is M2( the carrier of L)
(L, the M2( the carrier of L)) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . the M2( the carrier of L) is M2( the carrier of L)
(L,(L, the M2( the carrier of L)), the M2( the carrier of L)) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L, the M2( the carrier of L)), the M2( the carrier of L)) is M2( the carrier of L)
(L,(L,(L, the M2( the carrier of L)), the M2( the carrier of L))) is M2( the carrier of L)
the of L . (L,(L, the M2( the carrier of L)), the M2( the carrier of L)) is M2( the carrier of L)
x is M2( the carrier of L)
y is M2( the carrier of L)
(L,x,y) is M2( the carrier of L)
(L,x) is M2( the carrier of L)
the of L . x is M2( the carrier of L)
(L,y) is M2( the carrier of L)
the of L . y is M2( the carrier of L)
(L,x) "\/" (L,y) is M2( the carrier of L)
the L_join of L . ((L,x),(L,y)) is M2( the carrier of L)
(L,((L,x) "\/" (L,y))) is M2( the carrier of L)
the of L . ((L,x) "\/" (L,y)) is M2( the carrier of L)
(L,y,(L,y)) is M2( the carrier of L)
the L_join of L . (y,(L,y)) is M2( the carrier of L)
(L,(L,y,(L,y))) is M2( the carrier of L)
the of L . (L,y,(L,y)) is M2( the carrier of L)
(L,(L,(L, the M2( the carrier of L)), the M2( the carrier of L)),(L,y)) is M2( the carrier of L)
the L_join of L . ((L,(L, the M2( the carrier of L)), the M2( the carrier of L)),(L,y)) is M2( the carrier of L)
(L,(L,(L,(L, the M2( the carrier of L)), the M2( the carrier of L)),(L,y))) is M2( the carrier of L)
the of L . (L,(L,(L, the M2( the carrier of L)), the M2( the carrier of L)),(L,y)) is M2( the carrier of L)
(L,(L,y),y) is M2( the carrier of L)
the L_join of L . ((L,y),y) is M2( the carrier of L)
(L,(L,(L,y),y),(L,y)) is M2( the carrier of L)
the L_join of L . ((L,(L,y),y),(L,y)) is M2( the carrier of L)
(L,(L,(L,(L,y),y),(L,y))) is M2( the carrier of L)
the of L . (L,(L,(L,y),y),(L,y)) is M2( the carrier of L)
(L,(L,y),(L,y)) is M2( the carrier of L)
the L_join of L . ((L,y),(L,y)) is M2( the carrier of L)
(L,y,(L,(L,y),(L,y))) is M2( the carrier of L)
the L_join of L . (y,(L,(L,y),(L,y))) is M2( the carrier of L)
(L,(L,y,(L,(L,y),(L,y)))) is M2( the carrier of L)
the of L . (L,y,(L,(L,y),(L,y))) is M2( the carrier of L)
L is non empty join-commutative join-associative ()
the carrier of L is V11() set
y is M2( the carrier of L)
c is M2( the carrier of L)
(L,y,c) is M2( the carrier of L)
(L,y) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . y is M2( the carrier of L)
(L,c) is M2( the carrier of L)
the of L . c is M2( the carrier of L)
(L,y) "\/" (L,c) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,y),(L,c)) is M2( the carrier of L)
(L,((L,y) "\/" (L,c))) is M2( the carrier of L)
the of L . ((L,y) "\/" (L,c)) is M2( the carrier of L)
(L,c,y) is M2( the carrier of L)
(L,c) "\/" (L,y) is M2( the carrier of L)
the L_join of L . ((L,c),(L,y)) is M2( the carrier of L)
(L,((L,c) "\/" (L,y))) is M2( the carrier of L)
the of L . ((L,c) "\/" (L,y)) is M2( the carrier of L)
(L,(L,y),(L,c)) is M2( the carrier of L)
(L,(L,(L,y),(L,c))) is M2( the carrier of L)
the of L . (L,(L,y),(L,c)) is M2( the carrier of L)
L is non empty join-commutative join-associative upper-bounded () () ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
L9 is M2( the carrier of L)
x is M2( the carrier of L)
(L,x,L9) is M2( the carrier of L)
(L,x) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . x is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L . L9 is M2( the carrier of L)
(L,x) "\/" (L,L9) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,x),(L,L9)) is M2( the carrier of L)
(L,((L,x) "\/" (L,L9))) is M2( the carrier of L)
the of L . ((L,x) "\/" (L,L9)) is M2( the carrier of L)
L is non empty join-commutative join-associative upper-bounded () () ()
the carrier of L is V11() set
(L) is M2( the carrier of L)
L9 is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,L9,(L,L9)) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . (L9,(L,L9)) is M2( the carrier of L)
(L,(L,L9,(L,L9))) is M2( the carrier of L)
the of L . (L,L9,(L,L9)) is M2( the carrier of L)
x is M2( the carrier of L)
(L,(L,(L,L9,(L,L9))),x) is M2( the carrier of L)
(L,(L,(L,L9,(L,L9)))) is M2( the carrier of L)
the of L . (L,(L,L9,(L,L9))) is M2( the carrier of L)
(L,x) is M2( the carrier of L)
the of L . x is M2( the carrier of L)
(L,(L,(L,L9,(L,L9)))) "\/" (L,x) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,(L,L9)))),(L,x)) is M2( the carrier of L)
(L,((L,(L,(L,L9,(L,L9)))) "\/" (L,x))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9,(L,L9)))) "\/" (L,x)) is M2( the carrier of L)
(L,x,(L,x)) is M2( the carrier of L)
the L_join of L . (x,(L,x)) is M2( the carrier of L)
(L,(L,x,(L,x))) is M2( the carrier of L)
the of L . (L,x,(L,x)) is M2( the carrier of L)
(L,(L,(L,x,(L,x)))) is M2( the carrier of L)
the of L . (L,(L,x,(L,x))) is M2( the carrier of L)
(L,(L,(L,(L,x,(L,x)))),(L,x)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,x,(L,x)))),(L,x)) is M2( the carrier of L)
(L,(L,(L,(L,(L,x,(L,x)))),(L,x))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,x,(L,x)))),(L,x)) is M2( the carrier of L)
(L,(L,x,(L,x)),(L,x)) is M2( the carrier of L)
the L_join of L . ((L,x,(L,x)),(L,x)) is M2( the carrier of L)
(L,(L,(L,x,(L,x)),(L,x))) is M2( the carrier of L)
the of L . (L,(L,x,(L,x)),(L,x)) is M2( the carrier of L)
(L,(L,x),(L,x)) is M2( the carrier of L)
the L_join of L . ((L,x),(L,x)) is M2( the carrier of L)
(L,x,(L,(L,x),(L,x))) is M2( the carrier of L)
the L_join of L . (x,(L,(L,x),(L,x))) is M2( the carrier of L)
(L,(L,x,(L,(L,x),(L,x)))) is M2( the carrier of L)
the of L . (L,x,(L,(L,x),(L,x))) is M2( the carrier of L)
(L,(L,L9),L9) is M2( the carrier of L)
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,(L,(L,L9),L9)) is M2( the carrier of L)
the of L . (L,(L,L9),L9) is M2( the carrier of L)
L is non empty join-commutative join-associative upper-bounded () () ()
Top L is M2( the carrier of L)
the carrier of L is V11() set
(L,(Top L)) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . (Top L) is M2( the carrier of L)
(L) is M2( the carrier of L)
(L,(L)) is M2( the carrier of L)
the of L . (L) is M2( the carrier of L)
the M2( the carrier of L) is M2( the carrier of L)
(L, the M2( the carrier of L)) is M2( the carrier of L)
the of L . the M2( the carrier of L) is M2( the carrier of L)
(L, the M2( the carrier of L),(L, the M2( the carrier of L))) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ( the M2( the carrier of L),(L, the M2( the carrier of L))) is M2( the carrier of L)
(L,(L, the M2( the carrier of L),(L, the M2( the carrier of L)))) is M2( the carrier of L)
the of L . (L, the M2( the carrier of L),(L, the M2( the carrier of L))) is M2( the carrier of L)
L is non empty join-commutative join-associative () ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
x is M2( the carrier of L)
(L,x) is M2( the carrier of L)
the of L . x is M2( the carrier of L)
(L,(L,L9)) is M2( the carrier of L)
the of L . (L,L9) is M2( the carrier of L)
L is non empty join-commutative join-associative () ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
x is M2( the carrier of L)
(L,x) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . x is M2( the carrier of L)
(L,x,(L,x)) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . (x,(L,x)) is M2( the carrier of L)
(L,(L,x,(L,x))) is M2( the carrier of L)
the of L . (L,x,(L,x)) is M2( the carrier of L)
(L,L9,(L,(L,x,(L,x)))) is M2( the carrier of L)
the L_join of L . (L9,(L,(L,x,(L,x)))) is M2( the carrier of L)
(L,(L,(L,x,(L,x)))) is M2( the carrier of L)
the of L . (L,(L,x,(L,x))) is M2( the carrier of L)
(L,(L,(L,(L,x,(L,x)))),(L,(L,(L,x,(L,x))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,x,(L,x)))),(L,(L,(L,x,(L,x))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,x,(L,x)))),(L,(L,(L,x,(L,x)))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,x,(L,x)))),(L,(L,(L,x,(L,x))))) is M2( the carrier of L)
(L,(L,(L,(L,x,(L,x)))),(L,(L,x,(L,x)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,x,(L,x)))),(L,(L,x,(L,x)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,x,(L,x)))),(L,(L,x,(L,x))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,x,(L,x)))),(L,(L,x,(L,x)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,x,(L,x)))),(L,(L,(L,x,(L,x)))))),(L,(L,(L,(L,(L,x,(L,x)))),(L,(L,x,(L,x)))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,x,(L,x)))),(L,(L,(L,x,(L,x)))))),(L,(L,(L,(L,(L,x,(L,x)))),(L,(L,x,(L,x)))))) is M2( the carrier of L)
(L,(L,x,(L,x)),(L,x,(L,x))) is M2( the carrier of L)
the L_join of L . ((L,x,(L,x)),(L,x,(L,x))) is M2( the carrier of L)
(L,(L,(L,x,(L,x)),(L,x,(L,x)))) is M2( the carrier of L)
the of L . (L,(L,x,(L,x)),(L,x,(L,x))) is M2( the carrier of L)
(L,(L,(L,(L,x,(L,x)),(L,x,(L,x)))),(L,(L,x,(L,x)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,x,(L,x)),(L,x,(L,x)))),(L,(L,x,(L,x)))) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L . L9 is M2( the carrier of L)
(L,(L,L9),L9) is M2( the carrier of L)
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,(L,x,(L,x)),(L,(L,x,(L,x)))) is M2( the carrier of L)
the L_join of L . ((L,x,(L,x)),(L,(L,x,(L,x)))) is M2( the carrier of L)
(L,(L,(L,x,(L,x)),(L,(L,x,(L,x)))),(L,(L,(L,x,(L,x)),(L,x,(L,x))))) is M2( the carrier of L)
the L_join of L . ((L,(L,x,(L,x)),(L,(L,x,(L,x)))),(L,(L,(L,x,(L,x)),(L,x,(L,x))))) is M2( the carrier of L)
(L,(L,x,(L,x)),(L,(L,(L,x,(L,x)),(L,x,(L,x))))) is M2( the carrier of L)
the L_join of L . ((L,x,(L,x)),(L,(L,(L,x,(L,x)),(L,x,(L,x))))) is M2( the carrier of L)
(L,(L,(L,x,(L,x)),(L,x,(L,x))),(L,(L,(L,x,(L,x)),(L,x,(L,x))))) is M2( the carrier of L)
the L_join of L . ((L,(L,x,(L,x)),(L,x,(L,x))),(L,(L,(L,x,(L,x)),(L,x,(L,x))))) is M2( the carrier of L)
(L,(L,L9),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,(L,L9),L9)) is M2( the carrier of L)
the of L . (L,(L,L9),L9) is M2( the carrier of L)
(L,(L,(L,(L,L9),(L,L9))),(L,(L,(L,L9),L9))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,L9))),(L,(L,(L,L9),L9))) is M2( the carrier of L)
(L,(L,(L,(L,L9),L9)),(L,(L,(L,L9),L9))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),L9)),(L,(L,(L,L9),L9))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9),(L,L9))),(L,(L,(L,L9),L9))),(L,(L,(L,(L,L9),L9)),(L,(L,(L,L9),L9)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9),(L,L9))),(L,(L,(L,L9),L9))),(L,(L,(L,(L,L9),L9)),(L,(L,(L,L9),L9)))) is M2( the carrier of L)
(L,(L,(L,(L,L9),(L,L9))),(L,(L,(L,(L,L9),L9)),(L,(L,(L,L9),L9)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,L9))),(L,(L,(L,(L,L9),L9)),(L,(L,(L,L9),L9)))) is M2( the carrier of L)
L is non empty join-commutative join-associative () ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
(L,L9,L9) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . (L9,L9) is M2( the carrier of L)
(L,(L,L9,L9)) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K19(K20( the carrier of L, the carrier of L)) is set
the of L . (L,L9,L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L . L9 is M2( the carrier of L)
(L,(L,L9)) is M2( the carrier of L)
the of L . (L,L9) is M2( the carrier of L)
(L,(L,(L,L9)),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,L9)) is M2( the carrier of L)
(L,(L,(L,(L,L9)),(L,L9))) is M2( the carrier of L)
the of L . (L,(L,(L,L9)),(L,L9)) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9)),(L,L9))),(L,(L,L9,L9))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9)),(L,L9))),(L,(L,L9,L9))) is M2( the carrier of L)
(L,(L,(L,L9)),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),L9) is M2( the carrier of L)
(L,(L,(L,(L,L9)),L9)) is M2( the carrier of L)
the of L . (L,(L,(L,L9)),L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9)),(L,L9))),(L,(L,(L,(L,L9)),L9))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9)),(L,L9))),(L,(L,(L,(L,L9)),L9))) is M2( the carrier of L)
(L,(L,(L,L9,L9))) is M2( the carrier of L)
the of L . (L,(L,L9,L9)) is M2( the carrier of L)
L is non empty ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
L9 "\/" L9 is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . (L9,L9) is M2( the carrier of L)
L is non empty join-commutative join-associative upper-bounded () () ()
the carrier of L is V11() set
(L) is M2( the carrier of L)
L9 is M2( the carrier of L)
(L,L9,(L)) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . (L9,(L)) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,(L,L9),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,L9),L9) is M2( the carrier of L)
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,(L,(L,L9),L9)) is M2( the carrier of L)
the of L . (L,(L,L9),L9) is M2( the carrier of L)
(L,(L,(L,(L,L9),(L,L9))),(L,(L,(L,L9),L9))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,L9))),(L,(L,(L,L9),L9))) is M2( the carrier of L)
(L,(L,L9)) is M2( the carrier of L)
the of L . (L,L9) is M2( the carrier of L)
(L,(L,(L,L9)),(L,(L,(L,L9),L9))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,(L,(L,L9),L9))) is M2( the carrier of L)
(L,L9,(L,(L,(L,L9),L9))) is M2( the carrier of L)
the L_join of L . (L9,(L,(L,(L,L9),L9))) is M2( the carrier of L)
L is non empty join-commutative join-associative upper-bounded () () ()
the carrier of L is V11() set
Top L is M2( the carrier of L)
L9 is M2( the carrier of L)
(L,L9,(Top L)) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,(Top L)) is M2( the carrier of L)
the of L . (Top L) is M2( the carrier of L)
(L,L9) "\/" (L,(Top L)) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,L9),(L,(Top L))) is M2( the carrier of L)
(L,((L,L9) "\/" (L,(Top L)))) is M2( the carrier of L)
the of L . ((L,L9) "\/" (L,(Top L))) is M2( the carrier of L)
(L) is M2( the carrier of L)
(L,(L,L9),(L)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L)) is M2( the carrier of L)
(L,(L,(L,L9),(L))) is M2( the carrier of L)
the of L . (L,(L,L9),(L)) is M2( the carrier of L)
(L,(L,L9)) is M2( the carrier of L)
the of L . (L,L9) is M2( the carrier of L)
L is non empty join-commutative join-associative upper-bounded () () ()
the carrier of L is V11() set
(L) is M2( the carrier of L)
L9 is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,L9,(L,L9)) is M2( the carrier of L)
(L,(L,L9)) is M2( the carrier of L)
the of L . (L,L9) is M2( the carrier of L)
(L,L9) "\/" (L,(L,L9)) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,L9),(L,(L,L9))) is M2( the carrier of L)
(L,((L,L9) "\/" (L,(L,L9)))) is M2( the carrier of L)
the of L . ((L,L9) "\/" (L,(L,L9))) is M2( the carrier of L)
Top L is M2( the carrier of L)
(L,(Top L)) is M2( the carrier of L)
the of L . (Top L) is M2( the carrier of L)
L is non empty join-commutative join-associative upper-bounded () () ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
x is M2( the carrier of L)
y is M2( the carrier of L)
(L,x,y) is M2( the carrier of L)
(L,x) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . x is M2( the carrier of L)
(L,y) is M2( the carrier of L)
the of L . y is M2( the carrier of L)
(L,x) "\/" (L,y) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,x),(L,y)) is M2( the carrier of L)
(L,((L,x) "\/" (L,y))) is M2( the carrier of L)
the of L . ((L,x) "\/" (L,y)) is M2( the carrier of L)
(L,L9,(L,x,y)) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L . L9 is M2( the carrier of L)
(L,(L,x,y)) is M2( the carrier of L)
the of L . (L,x,y) is M2( the carrier of L)
(L,L9) "\/" (L,(L,x,y)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,(L,x,y))) is M2( the carrier of L)
(L,((L,L9) "\/" (L,(L,x,y)))) is M2( the carrier of L)
the of L . ((L,L9) "\/" (L,(L,x,y))) is M2( the carrier of L)
(L,L9,x) is M2( the carrier of L)
(L,L9) "\/" (L,x) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,x)) is M2( the carrier of L)
(L,((L,L9) "\/" (L,x))) is M2( the carrier of L)
the of L . ((L,L9) "\/" (L,x)) is M2( the carrier of L)
(L,(L,L9,x),y) is M2( the carrier of L)
(L,(L,L9,x)) is M2( the carrier of L)
the of L . (L,L9,x) is M2( the carrier of L)
(L,(L,L9,x)) "\/" (L,y) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,x)),(L,y)) is M2( the carrier of L)
(L,((L,(L,L9,x)) "\/" (L,y))) is M2( the carrier of L)
the of L . ((L,(L,L9,x)) "\/" (L,y)) is M2( the carrier of L)
(L,(L,L9),(L,x)) is M2( the carrier of L)
(L,(L,(L,L9),(L,x)),(L,y)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9),(L,x)),(L,y)) is M2( the carrier of L)
(L,(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
the of L . (L,(L,(L,L9),(L,x)),(L,y)) is M2( the carrier of L)
(L,(L,x),(L,y)) is M2( the carrier of L)
(L,(L,L9),(L,(L,x),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,(L,x),(L,y))) is M2( the carrier of L)
(L,(L,(L,L9),(L,(L,x),(L,y)))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,(L,x),(L,y))) is M2( the carrier of L)
L is non empty join-commutative join-associative upper-bounded () () ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
x is M2( the carrier of L)
(L,L9,x) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . (L9,x) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,x) is M2( the carrier of L)
the of L . x is M2( the carrier of L)
(L,(L,L9),(L,x)) is M2( the carrier of L)
(L,(L,L9)) is M2( the carrier of L)
the of L . (L,L9) is M2( the carrier of L)
(L,(L,x)) is M2( the carrier of L)
the of L . (L,x) is M2( the carrier of L)
(L,(L,L9)) "\/" (L,(L,x)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,(L,x))) is M2( the carrier of L)
(L,((L,(L,L9)) "\/" (L,(L,x)))) is M2( the carrier of L)
the of L . ((L,(L,L9)) "\/" (L,(L,x))) is M2( the carrier of L)
(L,(L,(L,L9),(L,x))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,x)) is M2( the carrier of L)
(L,(L,(L,L9)),x) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),x) is M2( the carrier of L)
(L,(L,(L,(L,L9)),x)) is M2( the carrier of L)
the of L . (L,(L,(L,L9)),x) is M2( the carrier of L)
(L,(L,L9,x)) is M2( the carrier of L)
the of L . (L,L9,x) is M2( the carrier of L)
L is non empty join-commutative join-associative upper-bounded () () ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
(L,L9,L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,L9) "\/" (L,L9) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,L9),(L,L9)) is M2( the carrier of L)
(L,((L,L9) "\/" (L,L9))) is M2( the carrier of L)
the of L . ((L,L9) "\/" (L,L9)) is M2( the carrier of L)
(L,(L,L9)) is M2( the carrier of L)
the of L . (L,L9) is M2( the carrier of L)
L is non empty join-commutative join-associative upper-bounded () () ()
the carrier of L is V11() set
Top L is M2( the carrier of L)
L9 is M2( the carrier of L)
(L,L9,(Top L)) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . (L9,(Top L)) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,L9,(L,L9)) is M2( the carrier of L)
the L_join of L . (L9,(L,L9)) is M2( the carrier of L)
(L,L9,(L,L9,(L,L9))) is M2( the carrier of L)
the L_join of L . (L9,(L,L9,(L,L9))) is M2( the carrier of L)
(L,L9,L9) is M2( the carrier of L)
the L_join of L . (L9,L9) is M2( the carrier of L)
(L,(L,L9,L9),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,L9,L9),(L,L9)) is M2( the carrier of L)
L is non empty join-commutative join-associative upper-bounded () () ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
x is M2( the carrier of L)
(L,L9,x) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,x) is M2( the carrier of L)
the of L . x is M2( the carrier of L)
(L,L9) "\/" (L,x) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,L9),(L,x)) is M2( the carrier of L)
(L,((L,L9) "\/" (L,x))) is M2( the carrier of L)
the of L . ((L,L9) "\/" (L,x)) is M2( the carrier of L)
(L,L9,(L,L9,x)) is M2( the carrier of L)
the L_join of L . (L9,(L,L9,x)) is M2( the carrier of L)
(L,L9,(L,x)) is M2( the carrier of L)
(L,(L,x)) is M2( the carrier of L)
the of L . (L,x) is M2( the carrier of L)
(L,L9) "\/" (L,(L,x)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,(L,x))) is M2( the carrier of L)
(L,((L,L9) "\/" (L,(L,x)))) is M2( the carrier of L)
the of L . ((L,L9) "\/" (L,(L,x))) is M2( the carrier of L)
(L,(L,L9,x),(L,L9,(L,x))) is M2( the carrier of L)
the L_join of L . ((L,L9,x),(L,L9,(L,x))) is M2( the carrier of L)
(L,(L,L9,x),(L,(L,L9,x),(L,L9,(L,x)))) is M2( the carrier of L)
the L_join of L . ((L,L9,x),(L,(L,L9,x),(L,L9,(L,x)))) is M2( the carrier of L)
(L,(L,L9,x),(L,L9,x)) is M2( the carrier of L)
the L_join of L . ((L,L9,x),(L,L9,x)) is M2( the carrier of L)
(L,(L,(L,L9,x),(L,L9,x)),(L,L9,(L,x))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,x),(L,L9,x)),(L,L9,(L,x))) is M2( the carrier of L)
L is non empty join-commutative join-associative upper-bounded () () ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
x is M2( the carrier of L)
(L,L9,x) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . (L9,x) is M2( the carrier of L)
(L,L9,(L,L9,x)) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,(L,L9,x)) is M2( the carrier of L)
the of L . (L,L9,x) is M2( the carrier of L)
(L,L9) "\/" (L,(L,L9,x)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,(L,L9,x))) is M2( the carrier of L)
(L,((L,L9) "\/" (L,(L,L9,x)))) is M2( the carrier of L)
the of L . ((L,L9) "\/" (L,(L,L9,x))) is M2( the carrier of L)
(L,x) is M2( the carrier of L)
the of L . x is M2( the carrier of L)
(L,(L,L9),(L,x)) is M2( the carrier of L)
(L,(L,L9)) is M2( the carrier of L)
the of L . (L,L9) is M2( the carrier of L)
(L,(L,x)) is M2( the carrier of L)
the of L . (L,x) is M2( the carrier of L)
(L,(L,L9)) "\/" (L,(L,x)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,(L,x))) is M2( the carrier of L)
(L,((L,(L,L9)) "\/" (L,(L,x)))) is M2( the carrier of L)
the of L . ((L,(L,L9)) "\/" (L,(L,x))) is M2( the carrier of L)
(L,(L,(L,L9),(L,x))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,x)) is M2( the carrier of L)
(L,(L,(L,(L,L9),(L,x)))) is M2( the carrier of L)
the of L . (L,(L,(L,L9),(L,x))) is M2( the carrier of L)
(L,(L,L9),(L,(L,(L,(L,L9),(L,x))))) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,(L,(L,(L,L9),(L,x))))) is M2( the carrier of L)
(L,(L,(L,L9),(L,(L,(L,(L,L9),(L,x)))))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,(L,(L,(L,L9),(L,x))))) is M2( the carrier of L)
(L,(L,L9),(L,(L,L9),(L,x))) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,(L,L9),(L,x))) is M2( the carrier of L)
(L,(L,(L,L9),(L,(L,L9),(L,x)))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,(L,L9),(L,x))) is M2( the carrier of L)
L is non empty join-commutative join-associative upper-bounded () () ()
the carrier of L is V11() set
Top L is M2( the carrier of L)
L9 is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
x is M2( the carrier of L)
(L,(L,L9),x) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,L9),x) is M2( the carrier of L)
(L,x) is M2( the carrier of L)
the of L . x is M2( the carrier of L)
(L,(L,x),L9) is M2( the carrier of L)
the L_join of L . ((L,x),L9) is M2( the carrier of L)
(L,(L,L9),(L,x)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,x)) is M2( the carrier of L)
(L,(L,(L,L9),(L,x))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,x)) is M2( the carrier of L)
(L,(L,(L,L9),x)) is M2( the carrier of L)
the of L . (L,(L,L9),x) is M2( the carrier of L)
(L,(L,(L,(L,L9),(L,x))),(L,(L,(L,L9),x))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,x))),(L,(L,(L,L9),x))) is M2( the carrier of L)
L is non empty join-commutative join-associative upper-bounded () () ()
the carrier of L is V11() set
Top L is M2( the carrier of L)
(L) is M2( the carrier of L)
L9 is M2( the carrier of L)
x is M2( the carrier of L)
(L,L9,x) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . (L9,x) is M2( the carrier of L)
(L,L9,x) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,x) is M2( the carrier of L)
the of L . x is M2( the carrier of L)
(L,L9) "\/" (L,x) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,x)) is M2( the carrier of L)
(L,((L,L9) "\/" (L,x))) is M2( the carrier of L)
the of L . ((L,L9) "\/" (L,x)) is M2( the carrier of L)
(L,(L,L9)) is M2( the carrier of L)
the of L . (L,L9) is M2( the carrier of L)
(L,(L,(L,L9)),x) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),x) is M2( the carrier of L)
(L,(L,x),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,x),(L,L9)) is M2( the carrier of L)
(L,(L,L9),(L,x)) is M2( the carrier of L)
(L,(L,(L,L9),(L,x))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,x)) is M2( the carrier of L)
(L,(L,(L,(L,L9),(L,x)))) is M2( the carrier of L)
the of L . (L,(L,(L,L9),(L,x))) is M2( the carrier of L)
L is non empty join-commutative join-associative upper-bounded () () ()
the carrier of L is V11() set
Top L is M2( the carrier of L)
L9 is M2( the carrier of L)
x is M2( the carrier of L)
(L,L9,x) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,x) is M2( the carrier of L)
the of L . x is M2( the carrier of L)
(L,L9) "\/" (L,x) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,L9),(L,x)) is M2( the carrier of L)
(L,((L,L9) "\/" (L,x))) is M2( the carrier of L)
the of L . ((L,L9) "\/" (L,x)) is M2( the carrier of L)
y is M2( the carrier of L)
(L,(L,L9,x),y) is M2( the carrier of L)
(L,(L,L9,x)) is M2( the carrier of L)
the of L . (L,L9,x) is M2( the carrier of L)
(L,y) is M2( the carrier of L)
the of L . y is M2( the carrier of L)
(L,(L,L9,x)) "\/" (L,y) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,x)),(L,y)) is M2( the carrier of L)
(L,((L,(L,L9,x)) "\/" (L,y))) is M2( the carrier of L)
the of L . ((L,(L,L9,x)) "\/" (L,y)) is M2( the carrier of L)
(L,(L,L9,x),(L,y)) is M2( the carrier of L)
(L,(L,y)) is M2( the carrier of L)
the of L . (L,y) is M2( the carrier of L)
(L,(L,L9,x)) "\/" (L,(L,y)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,x)),(L,(L,y))) is M2( the carrier of L)
(L,((L,(L,L9,x)) "\/" (L,(L,y)))) is M2( the carrier of L)
the of L . ((L,(L,L9,x)) "\/" (L,(L,y))) is M2( the carrier of L)
(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,x),y),(L,(L,L9,x),(L,y))) is M2( the carrier of L)
(L,L9,(L,x)) is M2( the carrier of L)
(L,(L,x)) is M2( the carrier of L)
the of L . (L,x) is M2( the carrier of L)
(L,L9) "\/" (L,(L,x)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,(L,x))) is M2( the carrier of L)
(L,((L,L9) "\/" (L,(L,x)))) is M2( the carrier of L)
the of L . ((L,L9) "\/" (L,(L,x))) is M2( the carrier of L)
(L,(L,L9,(L,x)),y) is M2( the carrier of L)
(L,(L,L9,(L,x))) is M2( the carrier of L)
the of L . (L,L9,(L,x)) is M2( the carrier of L)
(L,(L,L9,(L,x))) "\/" (L,y) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,(L,x))),(L,y)) is M2( the carrier of L)
(L,((L,(L,L9,(L,x))) "\/" (L,y))) is M2( the carrier of L)
the of L . ((L,(L,L9,(L,x))) "\/" (L,y)) is M2( the carrier of L)
(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)) is M2( the carrier of L)
(L,(L,L9,(L,x)),(L,y)) is M2( the carrier of L)
(L,(L,L9,(L,x))) "\/" (L,(L,y)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,(L,x))),(L,(L,y))) is M2( the carrier of L)
(L,((L,(L,L9,(L,x))) "\/" (L,(L,y)))) is M2( the carrier of L)
the of L . ((L,(L,L9,(L,x))) "\/" (L,(L,y))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,L9,(L,x)),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,L9,(L,x)),(L,y))) is M2( the carrier of L)
(L,(L,L9),x) is M2( the carrier of L)
(L,(L,L9)) is M2( the carrier of L)
the of L . (L,L9) is M2( the carrier of L)
(L,(L,L9)) "\/" (L,x) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,x)) is M2( the carrier of L)
(L,((L,(L,L9)) "\/" (L,x))) is M2( the carrier of L)
the of L . ((L,(L,L9)) "\/" (L,x)) is M2( the carrier of L)
(L,(L,(L,L9),x),y) is M2( the carrier of L)
(L,(L,(L,L9),x)) is M2( the carrier of L)
the of L . (L,(L,L9),x) is M2( the carrier of L)
(L,(L,(L,L9),x)) "\/" (L,y) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),x)),(L,y)) is M2( the carrier of L)
(L,((L,(L,(L,L9),x)) "\/" (L,y))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9),x)) "\/" (L,y)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,L9,(L,x)),(L,y))),(L,(L,(L,L9),x),y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,L9,(L,x)),(L,y))),(L,(L,(L,L9),x),y)) is M2( the carrier of L)
(L,(L,(L,L9),x),(L,y)) is M2( the carrier of L)
(L,(L,(L,L9),x)) "\/" (L,(L,y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),x)),(L,(L,y))) is M2( the carrier of L)
(L,((L,(L,(L,L9),x)) "\/" (L,(L,y)))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9),x)) "\/" (L,(L,y))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,L9,(L,x)),(L,y))),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,L9,(L,x)),(L,y))),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))) is M2( the carrier of L)
(L,(L,L9),(L,x)) is M2( the carrier of L)
(L,(L,L9)) "\/" (L,(L,x)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,(L,x))) is M2( the carrier of L)
(L,((L,(L,L9)) "\/" (L,(L,x)))) is M2( the carrier of L)
the of L . ((L,(L,L9)) "\/" (L,(L,x))) is M2( the carrier of L)
(L,(L,(L,L9),(L,x)),y) is M2( the carrier of L)
(L,(L,(L,L9),(L,x))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,x)) is M2( the carrier of L)
(L,(L,(L,L9),(L,x))) "\/" (L,y) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,x))),(L,y)) is M2( the carrier of L)
(L,((L,(L,(L,L9),(L,x))) "\/" (L,y))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9),(L,x))) "\/" (L,y)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,L9,(L,x)),(L,y))),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,L9,(L,x)),(L,y))),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)) is M2( the carrier of L)
(L,(L,(L,L9),(L,x)),(L,y)) is M2( the carrier of L)
(L,(L,(L,L9),(L,x))) "\/" (L,(L,y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,x))),(L,(L,y))) is M2( the carrier of L)
(L,((L,(L,(L,L9),(L,x))) "\/" (L,(L,y)))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9),(L,x))) "\/" (L,(L,y))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,L9,(L,x)),(L,y))),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,L9,(L,x)),(L,y))),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
(L,(L,L9,x),(L,(L,L9,(L,x)),y)) is M2( the carrier of L)
the L_join of L . ((L,L9,x),(L,(L,L9,(L,x)),y)) is M2( the carrier of L)
(L,(L,(L,L9,x),(L,(L,L9,(L,x)),y)),(L,(L,L9,(L,x)),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,x),(L,(L,L9,(L,x)),y)),(L,(L,L9,(L,x)),(L,y))) is M2( the carrier of L)
(L,(L,(L,(L,L9,x),(L,(L,L9,(L,x)),y)),(L,(L,L9,(L,x)),(L,y))),(L,(L,(L,L9),x),y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),(L,(L,L9,(L,x)),y)),(L,(L,L9,(L,x)),(L,y))),(L,(L,(L,L9),x),y)) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,x),(L,(L,L9,(L,x)),y)),(L,(L,L9,(L,x)),(L,y))),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9,x),(L,(L,L9,(L,x)),y)),(L,(L,L9,(L,x)),(L,y))),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9,x),(L,(L,L9,(L,x)),y)),(L,(L,L9,(L,x)),(L,y))),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9,x),(L,(L,L9,(L,x)),y)),(L,(L,L9,(L,x)),(L,y))),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9,x),(L,(L,L9,(L,x)),y)),(L,(L,L9,(L,x)),(L,y))),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,L9,x),(L,(L,L9,(L,x)),y)),(L,(L,L9,(L,x)),(L,y))),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
(L,(L,(L,L9,(L,x)),y),(L,(L,L9,(L,x)),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,(L,x)),y),(L,(L,L9,(L,x)),(L,y))) is M2( the carrier of L)
(L,(L,L9,x),(L,(L,(L,L9,(L,x)),y),(L,(L,L9,(L,x)),(L,y)))) is M2( the carrier of L)
the L_join of L . ((L,L9,x),(L,(L,(L,L9,(L,x)),y),(L,(L,L9,(L,x)),(L,y)))) is M2( the carrier of L)
(L,(L,(L,L9,x),(L,(L,(L,L9,(L,x)),y),(L,(L,L9,(L,x)),(L,y)))),(L,(L,(L,L9),x),y)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,x),(L,(L,(L,L9,(L,x)),y),(L,(L,L9,(L,x)),(L,y)))),(L,(L,(L,L9),x),y)) is M2( the carrier of L)
(L,(L,(L,(L,L9,x),(L,(L,(L,L9,(L,x)),y),(L,(L,L9,(L,x)),(L,y)))),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),(L,(L,(L,L9,(L,x)),y),(L,(L,L9,(L,x)),(L,y)))),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,x),(L,(L,(L,L9,(L,x)),y),(L,(L,L9,(L,x)),(L,y)))),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9,x),(L,(L,(L,L9,(L,x)),y),(L,(L,L9,(L,x)),(L,y)))),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9,x),(L,(L,(L,L9,(L,x)),y),(L,(L,L9,(L,x)),(L,y)))),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9,x),(L,(L,(L,L9,(L,x)),y),(L,(L,L9,(L,x)),(L,y)))),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
(L,(L,L9,x),(L,L9,(L,x))) is M2( the carrier of L)
the L_join of L . ((L,L9,x),(L,L9,(L,x))) is M2( the carrier of L)
(L,(L,(L,L9,x),(L,L9,(L,x))),(L,(L,(L,L9),x),y)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,x),(L,L9,(L,x))),(L,(L,(L,L9),x),y)) is M2( the carrier of L)
(L,(L,(L,(L,L9,x),(L,L9,(L,x))),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),(L,L9,(L,x))),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,x),(L,L9,(L,x))),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9,x),(L,L9,(L,x))),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9,x),(L,L9,(L,x))),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9,x),(L,L9,(L,x))),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
(L,(L,(L,(L,L9),x),y),(L,(L,(L,L9),x),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),x),y),(L,(L,(L,L9),x),(L,y))) is M2( the carrier of L)
(L,(L,(L,L9,x),(L,L9,(L,x))),(L,(L,(L,(L,L9),x),y),(L,(L,(L,L9),x),(L,y)))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,x),(L,L9,(L,x))),(L,(L,(L,(L,L9),x),y),(L,(L,(L,L9),x),(L,y)))) is M2( the carrier of L)
(L,(L,(L,(L,L9,x),(L,L9,(L,x))),(L,(L,(L,(L,L9),x),y),(L,(L,(L,L9),x),(L,y)))),(L,(L,(L,L9),(L,x)),y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),(L,L9,(L,x))),(L,(L,(L,(L,L9),x),y),(L,(L,(L,L9),x),(L,y)))),(L,(L,(L,L9),(L,x)),y)) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,x),(L,L9,(L,x))),(L,(L,(L,(L,L9),x),y),(L,(L,(L,L9),x),(L,y)))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9,x),(L,L9,(L,x))),(L,(L,(L,(L,L9),x),y),(L,(L,(L,L9),x),(L,y)))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
(L,(L,(L,L9,x),(L,L9,(L,x))),(L,(L,L9),x)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,x),(L,L9,(L,x))),(L,(L,L9),x)) is M2( the carrier of L)
(L,(L,(L,(L,L9,x),(L,L9,(L,x))),(L,(L,L9),x)),(L,(L,(L,L9),(L,x)),y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),(L,L9,(L,x))),(L,(L,L9),x)),(L,(L,(L,L9),(L,x)),y)) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,x),(L,L9,(L,x))),(L,(L,L9),x)),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9,x),(L,L9,(L,x))),(L,(L,L9),x)),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
(L,(L,(L,(L,L9),(L,x)),y),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,x)),y),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
(L,(L,(L,(L,L9,x),(L,L9,(L,x))),(L,(L,L9),x)),(L,(L,(L,(L,L9),(L,x)),y),(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),(L,L9,(L,x))),(L,(L,L9),x)),(L,(L,(L,(L,L9),(L,x)),y),(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
(L,(L,(L,(L,L9,x),(L,L9,(L,x))),(L,(L,L9),x)),(L,(L,L9),(L,x))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),(L,L9,(L,x))),(L,(L,L9),x)),(L,(L,L9),(L,x))) is M2( the carrier of L)
(L,L9,(L,(L,L9),x)) is M2( the carrier of L)
the L_join of L . (L9,(L,(L,L9),x)) is M2( the carrier of L)
(L,(L,L9,(L,(L,L9),x)),(L,(L,L9),(L,x))) is M2( the carrier of L)
the L_join of L . ((L,L9,(L,(L,L9),x)),(L,(L,L9),(L,x))) is M2( the carrier of L)
(L,(L,(L,L9),x),(L,(L,L9),(L,x))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9),x),(L,(L,L9),(L,x))) is M2( the carrier of L)
(L,L9,(L,(L,(L,L9),x),(L,(L,L9),(L,x)))) is M2( the carrier of L)
the L_join of L . (L9,(L,(L,(L,L9),x),(L,(L,L9),(L,x)))) is M2( the carrier of L)
(L,L9,(L,L9)) is M2( the carrier of L)
the L_join of L . (L9,(L,L9)) is M2( the carrier of L)
L is non empty join-commutative join-associative upper-bounded () () ()
the carrier of L is V11() set
(L) is M2( the carrier of L)
L9 is M2( the carrier of L)
y is M2( the carrier of L)
(L,L9,y) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,y) is M2( the carrier of L)
the of L . y is M2( the carrier of L)
(L,L9) "\/" (L,y) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,L9),(L,y)) is M2( the carrier of L)
(L,((L,L9) "\/" (L,y))) is M2( the carrier of L)
the of L . ((L,L9) "\/" (L,y)) is M2( the carrier of L)
x is M2( the carrier of L)
(L,x,(L,y)) is M2( the carrier of L)
(L,x) is M2( the carrier of L)
the of L . x is M2( the carrier of L)
(L,(L,y)) is M2( the carrier of L)
the of L . (L,y) is M2( the carrier of L)
(L,x) "\/" (L,(L,y)) is M2( the carrier of L)
the L_join of L . ((L,x),(L,(L,y))) is M2( the carrier of L)
(L,((L,x) "\/" (L,(L,y)))) is M2( the carrier of L)
the of L . ((L,x) "\/" (L,(L,y))) is M2( the carrier of L)
(L,(L,L9,y),(L,x,(L,y))) is M2( the carrier of L)
(L,(L,L9,y)) is M2( the carrier of L)
the of L . (L,L9,y) is M2( the carrier of L)
(L,(L,x,(L,y))) is M2( the carrier of L)
the of L . (L,x,(L,y)) is M2( the carrier of L)
(L,(L,L9,y)) "\/" (L,(L,x,(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,y)),(L,(L,x,(L,y)))) is M2( the carrier of L)
(L,((L,(L,L9,y)) "\/" (L,(L,x,(L,y))))) is M2( the carrier of L)
the of L . ((L,(L,L9,y)) "\/" (L,(L,x,(L,y)))) is M2( the carrier of L)
(L,L9,x) is M2( the carrier of L)
(L,L9) "\/" (L,x) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,x)) is M2( the carrier of L)
(L,((L,L9) "\/" (L,x))) is M2( the carrier of L)
the of L . ((L,L9) "\/" (L,x)) is M2( the carrier of L)
(L,(L,L9,x),y) is M2( the carrier of L)
(L,(L,L9,x)) is M2( the carrier of L)
the of L . (L,L9,x) is M2( the carrier of L)
(L,(L,L9,x)) "\/" (L,y) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,x)),(L,y)) is M2( the carrier of L)
(L,((L,(L,L9,x)) "\/" (L,y))) is M2( the carrier of L)
the of L . ((L,(L,L9,x)) "\/" (L,y)) is M2( the carrier of L)
(L,(L,L9),x) is M2( the carrier of L)
(L,(L,L9)) is M2( the carrier of L)
the of L . (L,L9) is M2( the carrier of L)
(L,(L,L9)) "\/" (L,x) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,x)) is M2( the carrier of L)
(L,((L,(L,L9)) "\/" (L,x))) is M2( the carrier of L)
the of L . ((L,(L,L9)) "\/" (L,x)) is M2( the carrier of L)
(L,(L,(L,L9),x),y) is M2( the carrier of L)
(L,(L,(L,L9),x)) is M2( the carrier of L)
the of L . (L,(L,L9),x) is M2( the carrier of L)
(L,(L,(L,L9),x)) "\/" (L,y) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),x)),(L,y)) is M2( the carrier of L)
(L,((L,(L,(L,L9),x)) "\/" (L,y))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9),x)) "\/" (L,y)) is M2( the carrier of L)
(L,(L,(L,L9,x),y),(L,(L,(L,L9),x),y)) is M2( the carrier of L)
(L,(L,(L,L9,x),y)) is M2( the carrier of L)
the of L . (L,(L,L9,x),y) is M2( the carrier of L)
(L,(L,(L,(L,L9),x),y)) is M2( the carrier of L)
the of L . (L,(L,(L,L9),x),y) is M2( the carrier of L)
(L,(L,(L,L9,x),y)) "\/" (L,(L,(L,(L,L9),x),y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),y)),(L,(L,(L,(L,L9),x),y))) is M2( the carrier of L)
(L,((L,(L,(L,L9,x),y)) "\/" (L,(L,(L,(L,L9),x),y)))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9,x),y)) "\/" (L,(L,(L,(L,L9),x),y))) is M2( the carrier of L)
(L,L9,(L,x)) is M2( the carrier of L)
(L,(L,x)) is M2( the carrier of L)
the of L . (L,x) is M2( the carrier of L)
(L,L9) "\/" (L,(L,x)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,(L,x))) is M2( the carrier of L)
(L,((L,L9) "\/" (L,(L,x)))) is M2( the carrier of L)
the of L . ((L,L9) "\/" (L,(L,x))) is M2( the carrier of L)
(L,(L,L9,(L,x)),y) is M2( the carrier of L)
(L,(L,L9,(L,x))) is M2( the carrier of L)
the of L . (L,L9,(L,x)) is M2( the carrier of L)
(L,(L,L9,(L,x))) "\/" (L,y) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,(L,x))),(L,y)) is M2( the carrier of L)
(L,((L,(L,L9,(L,x))) "\/" (L,y))) is M2( the carrier of L)
the of L . ((L,(L,L9,(L,x))) "\/" (L,y)) is M2( the carrier of L)
(L,(L,(L,L9,(L,x)),y),(L,(L,(L,L9),x),y)) is M2( the carrier of L)
(L,(L,(L,L9,(L,x)),y)) is M2( the carrier of L)
the of L . (L,(L,L9,(L,x)),y) is M2( the carrier of L)
(L,(L,(L,L9,(L,x)),y)) "\/" (L,(L,(L,(L,L9),x),y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,(L,x)),y)),(L,(L,(L,(L,L9),x),y))) is M2( the carrier of L)
(L,((L,(L,(L,L9,(L,x)),y)) "\/" (L,(L,(L,(L,L9),x),y)))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9,(L,x)),y)) "\/" (L,(L,(L,(L,L9),x),y))) is M2( the carrier of L)
(L,(L,L9),(L,x)) is M2( the carrier of L)
(L,(L,L9)) "\/" (L,(L,x)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,(L,x))) is M2( the carrier of L)
(L,((L,(L,L9)) "\/" (L,(L,x)))) is M2( the carrier of L)
the of L . ((L,(L,L9)) "\/" (L,(L,x))) is M2( the carrier of L)
(L,(L,(L,L9),(L,x)),y) is M2( the carrier of L)
(L,(L,(L,L9),(L,x))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,x)) is M2( the carrier of L)
(L,(L,(L,L9),(L,x))) "\/" (L,y) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,x))),(L,y)) is M2( the carrier of L)
(L,((L,(L,(L,L9),(L,x))) "\/" (L,y))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9),(L,x))) "\/" (L,y)) is M2( the carrier of L)
(L,(L,(L,L9,x),y),(L,(L,(L,L9),(L,x)),y)) is M2( the carrier of L)
(L,(L,(L,(L,L9),(L,x)),y)) is M2( the carrier of L)
the of L . (L,(L,(L,L9),(L,x)),y) is M2( the carrier of L)
(L,(L,(L,L9,x),y)) "\/" (L,(L,(L,(L,L9),(L,x)),y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),y)),(L,(L,(L,(L,L9),(L,x)),y))) is M2( the carrier of L)
(L,((L,(L,(L,L9,x),y)) "\/" (L,(L,(L,(L,L9),(L,x)),y)))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9,x),y)) "\/" (L,(L,(L,(L,L9),(L,x)),y))) is M2( the carrier of L)
(L,(L,L9,x),(L,y)) is M2( the carrier of L)
(L,(L,L9,x)) "\/" (L,(L,y)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,x)),(L,(L,y))) is M2( the carrier of L)
(L,((L,(L,L9,x)) "\/" (L,(L,y)))) is M2( the carrier of L)
the of L . ((L,(L,L9,x)) "\/" (L,(L,y))) is M2( the carrier of L)
(L,(L,(L,L9),(L,x)),(L,y)) is M2( the carrier of L)
(L,(L,(L,L9),(L,x))) "\/" (L,(L,y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,x))),(L,(L,y))) is M2( the carrier of L)
(L,((L,(L,(L,L9),(L,x))) "\/" (L,(L,y)))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9),(L,x))) "\/" (L,(L,y))) is M2( the carrier of L)
(L,(L,(L,L9,x),(L,y)),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
(L,(L,(L,L9,x),(L,y))) is M2( the carrier of L)
the of L . (L,(L,L9,x),(L,y)) is M2( the carrier of L)
(L,(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
the of L . (L,(L,(L,L9),(L,x)),(L,y)) is M2( the carrier of L)
(L,(L,(L,L9,x),(L,y))) "\/" (L,(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),(L,y))),(L,(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
(L,((L,(L,(L,L9,x),(L,y))) "\/" (L,(L,(L,(L,L9),(L,x)),(L,y))))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9,x),(L,y))) "\/" (L,(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
c is M2( the carrier of L)
l is M2( the carrier of L)
(L,c,l) is M2( the carrier of L)
(L,c) is M2( the carrier of L)
the of L . c is M2( the carrier of L)
(L,l) is M2( the carrier of L)
the of L . l is M2( the carrier of L)
(L,c) "\/" (L,l) is M2( the carrier of L)
the L_join of L . ((L,c),(L,l)) is M2( the carrier of L)
(L,((L,c) "\/" (L,l))) is M2( the carrier of L)
the of L . ((L,c) "\/" (L,l)) is M2( the carrier of L)
a9 is M2( the carrier of L)
(L,a9,(L,l)) is M2( the carrier of L)
(L,a9) is M2( the carrier of L)
the of L . a9 is M2( the carrier of L)
(L,(L,l)) is M2( the carrier of L)
the of L . (L,l) is M2( the carrier of L)
(L,a9) "\/" (L,(L,l)) is M2( the carrier of L)
the L_join of L . ((L,a9),(L,(L,l))) is M2( the carrier of L)
(L,((L,a9) "\/" (L,(L,l)))) is M2( the carrier of L)
the of L . ((L,a9) "\/" (L,(L,l))) is M2( the carrier of L)
(L,(L,c,l),(L,a9,(L,l))) is M2( the carrier of L)
(L,(L,c,l)) is M2( the carrier of L)
the of L . (L,c,l) is M2( the carrier of L)
(L,(L,a9,(L,l))) is M2( the carrier of L)
the of L . (L,a9,(L,l)) is M2( the carrier of L)
(L,(L,c,l)) "\/" (L,(L,a9,(L,l))) is M2( the carrier of L)
the L_join of L . ((L,(L,c,l)),(L,(L,a9,(L,l)))) is M2( the carrier of L)
(L,((L,(L,c,l)) "\/" (L,(L,a9,(L,l))))) is M2( the carrier of L)
the of L . ((L,(L,c,l)) "\/" (L,(L,a9,(L,l)))) is M2( the carrier of L)
(L,(L,c,l),(L,l)) is M2( the carrier of L)
(L,(L,c,l)) "\/" (L,(L,l)) is M2( the carrier of L)
the L_join of L . ((L,(L,c,l)),(L,(L,l))) is M2( the carrier of L)
(L,((L,(L,c,l)) "\/" (L,(L,l)))) is M2( the carrier of L)
the of L . ((L,(L,c,l)) "\/" (L,(L,l))) is M2( the carrier of L)
(L,(L,(L,c,l),(L,l)),a9) is M2( the carrier of L)
(L,(L,(L,c,l),(L,l))) is M2( the carrier of L)
the of L . (L,(L,c,l),(L,l)) is M2( the carrier of L)
(L,(L,(L,c,l),(L,l))) "\/" (L,a9) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,c,l),(L,l))),(L,a9)) is M2( the carrier of L)
(L,((L,(L,(L,c,l),(L,l))) "\/" (L,a9))) is M2( the carrier of L)
the of L . ((L,(L,(L,c,l),(L,l))) "\/" (L,a9)) is M2( the carrier of L)
(L,l,(L,l)) is M2( the carrier of L)
(L,l) "\/" (L,(L,l)) is M2( the carrier of L)
the L_join of L . ((L,l),(L,(L,l))) is M2( the carrier of L)
(L,((L,l) "\/" (L,(L,l)))) is M2( the carrier of L)
the of L . ((L,l) "\/" (L,(L,l))) is M2( the carrier of L)
(L,c,(L,l,(L,l))) is M2( the carrier of L)
(L,(L,l,(L,l))) is M2( the carrier of L)
the of L . (L,l,(L,l)) is M2( the carrier of L)
(L,c) "\/" (L,(L,l,(L,l))) is M2( the carrier of L)
the L_join of L . ((L,c),(L,(L,l,(L,l)))) is M2( the carrier of L)
(L,((L,c) "\/" (L,(L,l,(L,l))))) is M2( the carrier of L)
the of L . ((L,c) "\/" (L,(L,l,(L,l)))) is M2( the carrier of L)
(L,(L,c,(L,l,(L,l))),a9) is M2( the carrier of L)
(L,(L,c,(L,l,(L,l)))) is M2( the carrier of L)
the of L . (L,c,(L,l,(L,l))) is M2( the carrier of L)
(L,(L,c,(L,l,(L,l)))) "\/" (L,a9) is M2( the carrier of L)
the L_join of L . ((L,(L,c,(L,l,(L,l)))),(L,a9)) is M2( the carrier of L)
(L,((L,(L,c,(L,l,(L,l)))) "\/" (L,a9))) is M2( the carrier of L)
the of L . ((L,(L,c,(L,l,(L,l)))) "\/" (L,a9)) is M2( the carrier of L)
(L,c,(L)) is M2( the carrier of L)
(L,(L)) is M2( the carrier of L)
the of L . (L) is M2( the carrier of L)
(L,c) "\/" (L,(L)) is M2( the carrier of L)
the L_join of L . ((L,c),(L,(L))) is M2( the carrier of L)
(L,((L,c) "\/" (L,(L)))) is M2( the carrier of L)
the of L . ((L,c) "\/" (L,(L))) is M2( the carrier of L)
(L,(L,c,(L)),a9) is M2( the carrier of L)
(L,(L,c,(L))) is M2( the carrier of L)
the of L . (L,c,(L)) is M2( the carrier of L)
(L,(L,c,(L))) "\/" (L,a9) is M2( the carrier of L)
the L_join of L . ((L,(L,c,(L))),(L,a9)) is M2( the carrier of L)
(L,((L,(L,c,(L))) "\/" (L,a9))) is M2( the carrier of L)
the of L . ((L,(L,c,(L))) "\/" (L,a9)) is M2( the carrier of L)
(L,(L),a9) is M2( the carrier of L)
(L,(L)) "\/" (L,a9) is M2( the carrier of L)
the L_join of L . ((L,(L)),(L,a9)) is M2( the carrier of L)
(L,((L,(L)) "\/" (L,a9))) is M2( the carrier of L)
the of L . ((L,(L)) "\/" (L,a9)) is M2( the carrier of L)
(L,x,y) is M2( the carrier of L)
(L,x) "\/" (L,y) is M2( the carrier of L)
the L_join of L . ((L,x),(L,y)) is M2( the carrier of L)
(L,((L,x) "\/" (L,y))) is M2( the carrier of L)
the of L . ((L,x) "\/" (L,y)) is M2( the carrier of L)
(L,L9,(L,x,y)) is M2( the carrier of L)
(L,(L,x,y)) is M2( the carrier of L)
the of L . (L,x,y) is M2( the carrier of L)
(L,L9) "\/" (L,(L,x,y)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,(L,x,y))) is M2( the carrier of L)
(L,((L,L9) "\/" (L,(L,x,y)))) is M2( the carrier of L)
the of L . ((L,L9) "\/" (L,(L,x,y))) is M2( the carrier of L)
(L,(L,L9,(L,x,y)),(L,(L,(L,L9),x),y)) is M2( the carrier of L)
(L,(L,L9,(L,x,y))) is M2( the carrier of L)
the of L . (L,L9,(L,x,y)) is M2( the carrier of L)
(L,(L,L9,(L,x,y))) "\/" (L,(L,(L,(L,L9),x),y)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,(L,x,y))),(L,(L,(L,(L,L9),x),y))) is M2( the carrier of L)
(L,((L,(L,L9,(L,x,y))) "\/" (L,(L,(L,(L,L9),x),y)))) is M2( the carrier of L)
the of L . ((L,(L,L9,(L,x,y))) "\/" (L,(L,(L,(L,L9),x),y))) is M2( the carrier of L)
(L,(L,x,y),L9) is M2( the carrier of L)
(L,(L,x,y)) "\/" (L,L9) is M2( the carrier of L)
the L_join of L . ((L,(L,x,y)),(L,L9)) is M2( the carrier of L)
(L,((L,(L,x,y)) "\/" (L,L9))) is M2( the carrier of L)
the of L . ((L,(L,x,y)) "\/" (L,L9)) is M2( the carrier of L)
(L,(L,(L,x,y),L9),(L,(L,L9),x)) is M2( the carrier of L)
(L,(L,(L,x,y),L9)) is M2( the carrier of L)
the of L . (L,(L,x,y),L9) is M2( the carrier of L)
(L,(L,(L,x,y),L9)) "\/" (L,(L,(L,L9),x)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,x,y),L9)),(L,(L,(L,L9),x))) is M2( the carrier of L)
(L,((L,(L,(L,x,y),L9)) "\/" (L,(L,(L,L9),x)))) is M2( the carrier of L)
the of L . ((L,(L,(L,x,y),L9)) "\/" (L,(L,(L,L9),x))) is M2( the carrier of L)
(L,(L,(L,(L,x,y),L9),(L,(L,L9),x)),y) is M2( the carrier of L)
(L,(L,(L,(L,x,y),L9),(L,(L,L9),x))) is M2( the carrier of L)
the of L . (L,(L,(L,x,y),L9),(L,(L,L9),x)) is M2( the carrier of L)
(L,(L,(L,(L,x,y),L9),(L,(L,L9),x))) "\/" (L,y) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,x,y),L9),(L,(L,L9),x))),(L,y)) is M2( the carrier of L)
(L,((L,(L,(L,(L,x,y),L9),(L,(L,L9),x))) "\/" (L,y))) is M2( the carrier of L)
the of L . ((L,(L,(L,(L,x,y),L9),(L,(L,L9),x))) "\/" (L,y)) is M2( the carrier of L)
(L,(L,(L,x,y),L9),(L,L9)) is M2( the carrier of L)
(L,(L,(L,x,y),L9)) "\/" (L,(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,x,y),L9)),(L,(L,L9))) is M2( the carrier of L)
(L,((L,(L,(L,x,y),L9)) "\/" (L,(L,L9)))) is M2( the carrier of L)
the of L . ((L,(L,(L,x,y),L9)) "\/" (L,(L,L9))) is M2( the carrier of L)
(L,(L,(L,(L,x,y),L9),(L,L9)),x) is M2( the carrier of L)
(L,(L,(L,(L,x,y),L9),(L,L9))) is M2( the carrier of L)
the of L . (L,(L,(L,x,y),L9),(L,L9)) is M2( the carrier of L)
(L,(L,(L,(L,x,y),L9),(L,L9))) "\/" (L,x) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,x,y),L9),(L,L9))),(L,x)) is M2( the carrier of L)
(L,((L,(L,(L,(L,x,y),L9),(L,L9))) "\/" (L,x))) is M2( the carrier of L)
the of L . ((L,(L,(L,(L,x,y),L9),(L,L9))) "\/" (L,x)) is M2( the carrier of L)
(L,(L,(L,(L,(L,x,y),L9),(L,L9)),x),y) is M2( the carrier of L)
(L,(L,(L,(L,(L,x,y),L9),(L,L9)),x)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,x,y),L9),(L,L9)),x) is M2( the carrier of L)
(L,(L,(L,(L,(L,x,y),L9),(L,L9)),x)) "\/" (L,y) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,x,y),L9),(L,L9)),x)),(L,y)) is M2( the carrier of L)
(L,((L,(L,(L,(L,(L,x,y),L9),(L,L9)),x)) "\/" (L,y))) is M2( the carrier of L)
the of L . ((L,(L,(L,(L,(L,x,y),L9),(L,L9)),x)) "\/" (L,y)) is M2( the carrier of L)
(L,L9,(L,L9)) is M2( the carrier of L)
(L,L9) "\/" (L,(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,(L,L9))) is M2( the carrier of L)
(L,((L,L9) "\/" (L,(L,L9)))) is M2( the carrier of L)
the of L . ((L,L9) "\/" (L,(L,L9))) is M2( the carrier of L)
(L,(L,x,y),(L,L9,(L,L9))) is M2( the carrier of L)
(L,(L,L9,(L,L9))) is M2( the carrier of L)
the of L . (L,L9,(L,L9)) is M2( the carrier of L)
(L,(L,x,y)) "\/" (L,(L,L9,(L,L9))) is M2( the carrier of L)
the L_join of L . ((L,(L,x,y)),(L,(L,L9,(L,L9)))) is M2( the carrier of L)
(L,((L,(L,x,y)) "\/" (L,(L,L9,(L,L9))))) is M2( the carrier of L)
the of L . ((L,(L,x,y)) "\/" (L,(L,L9,(L,L9)))) is M2( the carrier of L)
(L,(L,(L,x,y),(L,L9,(L,L9))),x) is M2( the carrier of L)
(L,(L,(L,x,y),(L,L9,(L,L9)))) is M2( the carrier of L)
the of L . (L,(L,x,y),(L,L9,(L,L9))) is M2( the carrier of L)
(L,(L,(L,x,y),(L,L9,(L,L9)))) "\/" (L,x) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,x,y),(L,L9,(L,L9)))),(L,x)) is M2( the carrier of L)
(L,((L,(L,(L,x,y),(L,L9,(L,L9)))) "\/" (L,x))) is M2( the carrier of L)
the of L . ((L,(L,(L,x,y),(L,L9,(L,L9)))) "\/" (L,x)) is M2( the carrier of L)
(L,(L,(L,(L,x,y),(L,L9,(L,L9))),x),y) is M2( the carrier of L)
(L,(L,(L,(L,x,y),(L,L9,(L,L9))),x)) is M2( the carrier of L)
the of L . (L,(L,(L,x,y),(L,L9,(L,L9))),x) is M2( the carrier of L)
(L,(L,(L,(L,x,y),(L,L9,(L,L9))),x)) "\/" (L,y) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,x,y),(L,L9,(L,L9))),x)),(L,y)) is M2( the carrier of L)
(L,((L,(L,(L,(L,x,y),(L,L9,(L,L9))),x)) "\/" (L,y))) is M2( the carrier of L)
the of L . ((L,(L,(L,(L,x,y),(L,L9,(L,L9))),x)) "\/" (L,y)) is M2( the carrier of L)
(L,(L,(L,x,y),(L,L9,(L,L9))),(L,x,y)) is M2( the carrier of L)
(L,(L,(L,x,y),(L,L9,(L,L9)))) "\/" (L,(L,x,y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,x,y),(L,L9,(L,L9)))),(L,(L,x,y))) is M2( the carrier of L)
(L,((L,(L,(L,x,y),(L,L9,(L,L9)))) "\/" (L,(L,x,y)))) is M2( the carrier of L)
the of L . ((L,(L,(L,x,y),(L,L9,(L,L9)))) "\/" (L,(L,x,y))) is M2( the carrier of L)
(L,(L,x,y),(L)) is M2( the carrier of L)
(L,(L)) is M2( the carrier of L)
the of L . (L) is M2( the carrier of L)
(L,(L,x,y)) "\/" (L,(L)) is M2( the carrier of L)
the L_join of L . ((L,(L,x,y)),(L,(L))) is M2( the carrier of L)
(L,((L,(L,x,y)) "\/" (L,(L)))) is M2( the carrier of L)
the of L . ((L,(L,x,y)) "\/" (L,(L))) is M2( the carrier of L)
(L,(L,(L,x,y),(L)),(L,x,y)) is M2( the carrier of L)
(L,(L,(L,x,y),(L))) is M2( the carrier of L)
the of L . (L,(L,x,y),(L)) is M2( the carrier of L)
(L,(L,(L,x,y),(L))) "\/" (L,(L,x,y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,x,y),(L))),(L,(L,x,y))) is M2( the carrier of L)
(L,((L,(L,(L,x,y),(L))) "\/" (L,(L,x,y)))) is M2( the carrier of L)
the of L . ((L,(L,(L,x,y),(L))) "\/" (L,(L,x,y))) is M2( the carrier of L)
(L,(L),(L,x,y)) is M2( the carrier of L)
(L,(L)) "\/" (L,(L,x,y)) is M2( the carrier of L)
the L_join of L . ((L,(L)),(L,(L,x,y))) is M2( the carrier of L)
(L,((L,(L)) "\/" (L,(L,x,y)))) is M2( the carrier of L)
the of L . ((L,(L)) "\/" (L,(L,x,y))) is M2( the carrier of L)
(L,(L,x),y) is M2( the carrier of L)
(L,(L,x)) "\/" (L,y) is M2( the carrier of L)
the L_join of L . ((L,(L,x)),(L,y)) is M2( the carrier of L)
(L,((L,(L,x)) "\/" (L,y))) is M2( the carrier of L)
the of L . ((L,(L,x)) "\/" (L,y)) is M2( the carrier of L)
(L,L9,(L,(L,x),y)) is M2( the carrier of L)
(L,(L,(L,x),y)) is M2( the carrier of L)
the of L . (L,(L,x),y) is M2( the carrier of L)
(L,L9) "\/" (L,(L,(L,x),y)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,(L,(L,x),y))) is M2( the carrier of L)
(L,((L,L9) "\/" (L,(L,(L,x),y)))) is M2( the carrier of L)
the of L . ((L,L9) "\/" (L,(L,(L,x),y))) is M2( the carrier of L)
(L,(L,L9,(L,(L,x),y)),(L,(L,(L,L9),x),y)) is M2( the carrier of L)
(L,(L,L9,(L,(L,x),y))) is M2( the carrier of L)
the of L . (L,L9,(L,(L,x),y)) is M2( the carrier of L)
(L,(L,L9,(L,(L,x),y))) "\/" (L,(L,(L,(L,L9),x),y)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,(L,(L,x),y))),(L,(L,(L,(L,L9),x),y))) is M2( the carrier of L)
(L,((L,(L,L9,(L,(L,x),y))) "\/" (L,(L,(L,(L,L9),x),y)))) is M2( the carrier of L)
the of L . ((L,(L,L9,(L,(L,x),y))) "\/" (L,(L,(L,(L,L9),x),y))) is M2( the carrier of L)
(L,(L,(L,x),y),L9) is M2( the carrier of L)
(L,(L,(L,x),y)) "\/" (L,L9) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,x),y)),(L,L9)) is M2( the carrier of L)
(L,((L,(L,(L,x),y)) "\/" (L,L9))) is M2( the carrier of L)
the of L . ((L,(L,(L,x),y)) "\/" (L,L9)) is M2( the carrier of L)
(L,(L,L9),(L,x,y)) is M2( the carrier of L)
(L,(L,L9)) "\/" (L,(L,x,y)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,(L,x,y))) is M2( the carrier of L)
(L,((L,(L,L9)) "\/" (L,(L,x,y)))) is M2( the carrier of L)
the of L . ((L,(L,L9)) "\/" (L,(L,x,y))) is M2( the carrier of L)
(L,(L,(L,(L,x),y),L9),(L,(L,L9),(L,x,y))) is M2( the carrier of L)
(L,(L,(L,(L,x),y),L9)) is M2( the carrier of L)
the of L . (L,(L,(L,x),y),L9) is M2( the carrier of L)
(L,(L,(L,L9),(L,x,y))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,x,y)) is M2( the carrier of L)
(L,(L,(L,(L,x),y),L9)) "\/" (L,(L,(L,L9),(L,x,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,x),y),L9)),(L,(L,(L,L9),(L,x,y)))) is M2( the carrier of L)
(L,((L,(L,(L,(L,x),y),L9)) "\/" (L,(L,(L,L9),(L,x,y))))) is M2( the carrier of L)
the of L . ((L,(L,(L,(L,x),y),L9)) "\/" (L,(L,(L,L9),(L,x,y)))) is M2( the carrier of L)
(L,(L,(L,(L,x),y),L9),(L,L9)) is M2( the carrier of L)
(L,(L,(L,(L,x),y),L9)) "\/" (L,(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,x),y),L9)),(L,(L,L9))) is M2( the carrier of L)
(L,((L,(L,(L,(L,x),y),L9)) "\/" (L,(L,L9)))) is M2( the carrier of L)
the of L . ((L,(L,(L,(L,x),y),L9)) "\/" (L,(L,L9))) is M2( the carrier of L)
(L,(L,(L,(L,(L,x),y),L9),(L,L9)),(L,x,y)) is M2( the carrier of L)
(L,(L,(L,(L,(L,x),y),L9),(L,L9))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,x),y),L9),(L,L9)) is M2( the carrier of L)
(L,(L,(L,(L,(L,x),y),L9),(L,L9))) "\/" (L,(L,x,y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,x),y),L9),(L,L9))),(L,(L,x,y))) is M2( the carrier of L)
(L,((L,(L,(L,(L,(L,x),y),L9),(L,L9))) "\/" (L,(L,x,y)))) is M2( the carrier of L)
the of L . ((L,(L,(L,(L,(L,x),y),L9),(L,L9))) "\/" (L,(L,x,y))) is M2( the carrier of L)
(L,(L,(L,x),y),(L,L9,(L,L9))) is M2( the carrier of L)
(L,(L,(L,x),y)) "\/" (L,(L,L9,(L,L9))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,x),y)),(L,(L,L9,(L,L9)))) is M2( the carrier of L)
(L,((L,(L,(L,x),y)) "\/" (L,(L,L9,(L,L9))))) is M2( the carrier of L)
the of L . ((L,(L,(L,x),y)) "\/" (L,(L,L9,(L,L9)))) is M2( the carrier of L)
(L,(L,(L,(L,x),y),(L,L9,(L,L9))),(L,x,y)) is M2( the carrier of L)
(L,(L,(L,(L,x),y),(L,L9,(L,L9)))) is M2( the carrier of L)
the of L . (L,(L,(L,x),y),(L,L9,(L,L9))) is M2( the carrier of L)
(L,(L,(L,(L,x),y),(L,L9,(L,L9)))) "\/" (L,(L,x,y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,x),y),(L,L9,(L,L9)))),(L,(L,x,y))) is M2( the carrier of L)
(L,((L,(L,(L,(L,x),y),(L,L9,(L,L9)))) "\/" (L,(L,x,y)))) is M2( the carrier of L)
the of L . ((L,(L,(L,(L,x),y),(L,L9,(L,L9)))) "\/" (L,(L,x,y))) is M2( the carrier of L)
(L,(L,(L,x),y),(L)) is M2( the carrier of L)
(L,(L,(L,x),y)) "\/" (L,(L)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,x),y)),(L,(L))) is M2( the carrier of L)
(L,((L,(L,(L,x),y)) "\/" (L,(L)))) is M2( the carrier of L)
the of L . ((L,(L,(L,x),y)) "\/" (L,(L))) is M2( the carrier of L)
(L,(L,(L,(L,x),y),(L)),(L,x,y)) is M2( the carrier of L)
(L,(L,(L,(L,x),y),(L))) is M2( the carrier of L)
the of L . (L,(L,(L,x),y),(L)) is M2( the carrier of L)
(L,(L,(L,(L,x),y),(L))) "\/" (L,(L,x,y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,x),y),(L))),(L,(L,x,y))) is M2( the carrier of L)
(L,((L,(L,(L,(L,x),y),(L))) "\/" (L,(L,x,y)))) is M2( the carrier of L)
the of L . ((L,(L,(L,(L,x),y),(L))) "\/" (L,(L,x,y))) is M2( the carrier of L)
(L,(L,L9,(L,x,y)),(L,(L,(L,L9),(L,x)),y)) is M2( the carrier of L)
(L,(L,L9,(L,x,y))) "\/" (L,(L,(L,(L,L9),(L,x)),y)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,(L,x,y))),(L,(L,(L,(L,L9),(L,x)),y))) is M2( the carrier of L)
(L,((L,(L,L9,(L,x,y))) "\/" (L,(L,(L,(L,L9),(L,x)),y)))) is M2( the carrier of L)
the of L . ((L,(L,L9,(L,x,y))) "\/" (L,(L,(L,(L,L9),(L,x)),y))) is M2( the carrier of L)
(L,(L,L9),(L,(L,x),y)) is M2( the carrier of L)
(L,(L,L9)) "\/" (L,(L,(L,x),y)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,(L,(L,x),y))) is M2( the carrier of L)
(L,((L,(L,L9)) "\/" (L,(L,(L,x),y)))) is M2( the carrier of L)
the of L . ((L,(L,L9)) "\/" (L,(L,(L,x),y))) is M2( the carrier of L)
(L,(L,L9,(L,x,y)),(L,(L,L9),(L,(L,x),y))) is M2( the carrier of L)
(L,(L,(L,L9),(L,(L,x),y))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,(L,x),y)) is M2( the carrier of L)
(L,(L,L9,(L,x,y))) "\/" (L,(L,(L,L9),(L,(L,x),y))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,(L,x,y))),(L,(L,(L,L9),(L,(L,x),y)))) is M2( the carrier of L)
(L,((L,(L,L9,(L,x,y))) "\/" (L,(L,(L,L9),(L,(L,x),y))))) is M2( the carrier of L)
the of L . ((L,(L,L9,(L,x,y))) "\/" (L,(L,(L,L9),(L,(L,x),y)))) is M2( the carrier of L)
(L,L9,(L,x,(L,y))) is M2( the carrier of L)
(L,L9) "\/" (L,(L,x,(L,y))) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,(L,x,(L,y)))) is M2( the carrier of L)
(L,((L,L9) "\/" (L,(L,x,(L,y))))) is M2( the carrier of L)
the of L . ((L,L9) "\/" (L,(L,x,(L,y)))) is M2( the carrier of L)
(L,(L,L9,(L,x,(L,y))),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
(L,(L,L9,(L,x,(L,y)))) is M2( the carrier of L)
the of L . (L,L9,(L,x,(L,y))) is M2( the carrier of L)
(L,(L,L9,(L,x,(L,y)))) "\/" (L,(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,(L,x,(L,y)))),(L,(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
(L,((L,(L,L9,(L,x,(L,y)))) "\/" (L,(L,(L,(L,L9),(L,x)),(L,y))))) is M2( the carrier of L)
the of L . ((L,(L,L9,(L,x,(L,y)))) "\/" (L,(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
(L,(L,x),(L,y)) is M2( the carrier of L)
(L,(L,x)) "\/" (L,(L,y)) is M2( the carrier of L)
the L_join of L . ((L,(L,x)),(L,(L,y))) is M2( the carrier of L)
(L,((L,(L,x)) "\/" (L,(L,y)))) is M2( the carrier of L)
the of L . ((L,(L,x)) "\/" (L,(L,y))) is M2( the carrier of L)
(L,(L,L9),(L,(L,x),(L,y))) is M2( the carrier of L)
(L,(L,(L,x),(L,y))) is M2( the carrier of L)
the of L . (L,(L,x),(L,y)) is M2( the carrier of L)
(L,(L,L9)) "\/" (L,(L,(L,x),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,(L,(L,x),(L,y)))) is M2( the carrier of L)
(L,((L,(L,L9)) "\/" (L,(L,(L,x),(L,y))))) is M2( the carrier of L)
the of L . ((L,(L,L9)) "\/" (L,(L,(L,x),(L,y)))) is M2( the carrier of L)
(L,(L,L9,(L,x,(L,y))),(L,(L,L9),(L,(L,x),(L,y)))) is M2( the carrier of L)
(L,(L,(L,L9),(L,(L,x),(L,y)))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,(L,x),(L,y))) is M2( the carrier of L)
(L,(L,L9,(L,x,(L,y)))) "\/" (L,(L,(L,L9),(L,(L,x),(L,y)))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,(L,x,(L,y)))),(L,(L,(L,L9),(L,(L,x),(L,y))))) is M2( the carrier of L)
(L,((L,(L,L9,(L,x,(L,y)))) "\/" (L,(L,(L,L9),(L,(L,x),(L,y)))))) is M2( the carrier of L)
the of L . ((L,(L,L9,(L,x,(L,y)))) "\/" (L,(L,(L,L9),(L,(L,x),(L,y))))) is M2( the carrier of L)
L is non empty join-commutative join-associative upper-bounded () () ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
x is M2( the carrier of L)
(L,L9,x) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,x) is M2( the carrier of L)
the of L . x is M2( the carrier of L)
(L,L9) "\/" (L,x) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,L9),(L,x)) is M2( the carrier of L)
(L,((L,L9) "\/" (L,x))) is M2( the carrier of L)
the of L . ((L,L9) "\/" (L,x)) is M2( the carrier of L)
y is M2( the carrier of L)
(L,L9,y) is M2( the carrier of L)
(L,y) is M2( the carrier of L)
the of L . y is M2( the carrier of L)
(L,L9) "\/" (L,y) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,y)) is M2( the carrier of L)
(L,((L,L9) "\/" (L,y))) is M2( the carrier of L)
the of L . ((L,L9) "\/" (L,y)) is M2( the carrier of L)
(L,(L,L9,x),(L,L9,y)) is M2( the carrier of L)
the L_join of L . ((L,L9,x),(L,L9,y)) is M2( the carrier of L)
(L,(L,L9,x),y) is M2( the carrier of L)
(L,(L,L9,x)) is M2( the carrier of L)
the of L . (L,L9,x) is M2( the carrier of L)
(L,(L,L9,x)) "\/" (L,y) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,x)),(L,y)) is M2( the carrier of L)
(L,((L,(L,L9,x)) "\/" (L,y))) is M2( the carrier of L)
the of L . ((L,(L,L9,x)) "\/" (L,y)) is M2( the carrier of L)
(L,(L,L9,x),(L,y)) is M2( the carrier of L)
(L,(L,y)) is M2( the carrier of L)
the of L . (L,y) is M2( the carrier of L)
(L,(L,L9,x)) "\/" (L,(L,y)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,x)),(L,(L,y))) is M2( the carrier of L)
(L,((L,(L,L9,x)) "\/" (L,(L,y)))) is M2( the carrier of L)
the of L . ((L,(L,L9,x)) "\/" (L,(L,y))) is M2( the carrier of L)
(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,x),y),(L,(L,L9,x),(L,y))) is M2( the carrier of L)
(L,L9,(L,x)) is M2( the carrier of L)
(L,(L,x)) is M2( the carrier of L)
the of L . (L,x) is M2( the carrier of L)
(L,L9) "\/" (L,(L,x)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,(L,x))) is M2( the carrier of L)
(L,((L,L9) "\/" (L,(L,x)))) is M2( the carrier of L)
the of L . ((L,L9) "\/" (L,(L,x))) is M2( the carrier of L)
(L,(L,L9,(L,x)),y) is M2( the carrier of L)
(L,(L,L9,(L,x))) is M2( the carrier of L)
the of L . (L,L9,(L,x)) is M2( the carrier of L)
(L,(L,L9,(L,x))) "\/" (L,y) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,(L,x))),(L,y)) is M2( the carrier of L)
(L,((L,(L,L9,(L,x))) "\/" (L,y))) is M2( the carrier of L)
the of L . ((L,(L,L9,(L,x))) "\/" (L,y)) is M2( the carrier of L)
(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)) is M2( the carrier of L)
(L,(L,L9,y),x) is M2( the carrier of L)
(L,(L,L9,y)) is M2( the carrier of L)
the of L . (L,L9,y) is M2( the carrier of L)
(L,(L,L9,y)) "\/" (L,x) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,y)),(L,x)) is M2( the carrier of L)
(L,((L,(L,L9,y)) "\/" (L,x))) is M2( the carrier of L)
the of L . ((L,(L,L9,y)) "\/" (L,x)) is M2( the carrier of L)
(L,(L,L9,y),(L,x)) is M2( the carrier of L)
(L,(L,L9,y)) "\/" (L,(L,x)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,y)),(L,(L,x))) is M2( the carrier of L)
(L,((L,(L,L9,y)) "\/" (L,(L,x)))) is M2( the carrier of L)
the of L . ((L,(L,L9,y)) "\/" (L,(L,x))) is M2( the carrier of L)
(L,(L,(L,L9,y),x),(L,(L,L9,y),(L,x))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,y),x),(L,(L,L9,y),(L,x))) is M2( the carrier of L)
(L,(L,(L,L9,x),y),(L,(L,L9,y),(L,x))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,x),y),(L,(L,L9,y),(L,x))) is M2( the carrier of L)
(L,(L,(L,L9,x),y),(L,(L,L9,(L,x)),y)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,x),y),(L,(L,L9,(L,x)),y)) is M2( the carrier of L)
(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,(L,L9,x),y),(L,(L,L9,(L,x)),y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,(L,L9,x),y),(L,(L,L9,(L,x)),y))) is M2( the carrier of L)
(L,(L,(L,L9,x),(L,y)),(L,(L,L9,x),y)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,x),(L,y)),(L,(L,L9,x),y)) is M2( the carrier of L)
(L,(L,(L,L9,x),y),(L,(L,(L,L9,x),(L,y)),(L,(L,L9,x),y))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,x),y),(L,(L,(L,L9,x),(L,y)),(L,(L,L9,x),y))) is M2( the carrier of L)
(L,(L,(L,(L,L9,x),y),(L,(L,(L,L9,x),(L,y)),(L,(L,L9,x),y))),(L,(L,L9,(L,x)),y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),y),(L,(L,(L,L9,x),(L,y)),(L,(L,L9,x),y))),(L,(L,L9,(L,x)),y)) is M2( the carrier of L)
(L,(L,(L,L9,x),y),(L,(L,L9,x),y)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,x),y),(L,(L,L9,x),y)) is M2( the carrier of L)
(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),y)),(L,(L,L9,x),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),y),(L,(L,L9,x),y)),(L,(L,L9,x),(L,y))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),y)),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9,x),y),(L,(L,L9,x),y)),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)) is M2( the carrier of L)
L is non empty join-commutative join-associative upper-bounded () () ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
x is M2( the carrier of L)
y is M2( the carrier of L)
(L,x,y) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . (x,y) is M2( the carrier of L)
(L,L9,(L,x,y)) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,(L,x,y)) is M2( the carrier of L)
the of L . (L,x,y) is M2( the carrier of L)
(L,L9) "\/" (L,(L,x,y)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,(L,x,y))) is M2( the carrier of L)
(L,((L,L9) "\/" (L,(L,x,y)))) is M2( the carrier of L)
the of L . ((L,L9) "\/" (L,(L,x,y))) is M2( the carrier of L)
(L,(L,L9,(L,x,y))) is M2( the carrier of L)
the of L . (L,L9,(L,x,y)) is M2( the carrier of L)
(L,x) is M2( the carrier of L)
the of L . x is M2( the carrier of L)
(L,L9,(L,x)) is M2( the carrier of L)
(L,(L,x)) is M2( the carrier of L)
the of L . (L,x) is M2( the carrier of L)
(L,L9) "\/" (L,(L,x)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,(L,x))) is M2( the carrier of L)
(L,((L,L9) "\/" (L,(L,x)))) is M2( the carrier of L)
the of L . ((L,L9) "\/" (L,(L,x))) is M2( the carrier of L)
(L,y) is M2( the carrier of L)
the of L . y is M2( the carrier of L)
(L,(L,L9,(L,x)),(L,y)) is M2( the carrier of L)
(L,(L,L9,(L,x))) is M2( the carrier of L)
the of L . (L,L9,(L,x)) is M2( the carrier of L)
(L,(L,y)) is M2( the carrier of L)
the of L . (L,y) is M2( the carrier of L)
(L,(L,L9,(L,x))) "\/" (L,(L,y)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,(L,x))),(L,(L,y))) is M2( the carrier of L)
(L,((L,(L,L9,(L,x))) "\/" (L,(L,y)))) is M2( the carrier of L)
the of L . ((L,(L,L9,(L,x))) "\/" (L,(L,y))) is M2( the carrier of L)
(L,(L,L9),x) is M2( the carrier of L)
(L,(L,L9)) is M2( the carrier of L)
the of L . (L,L9) is M2( the carrier of L)
(L,(L,L9)) "\/" (L,x) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,x)) is M2( the carrier of L)
(L,((L,(L,L9)) "\/" (L,x))) is M2( the carrier of L)
the of L . ((L,(L,L9)) "\/" (L,x)) is M2( the carrier of L)
(L,(L,(L,L9),x),y) is M2( the carrier of L)
(L,(L,(L,L9),x)) is M2( the carrier of L)
the of L . (L,(L,L9),x) is M2( the carrier of L)
(L,(L,(L,L9),x)) "\/" (L,y) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),x)),(L,y)) is M2( the carrier of L)
(L,((L,(L,(L,L9),x)) "\/" (L,y))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9),x)) "\/" (L,y)) is M2( the carrier of L)
(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)) is M2( the carrier of L)
(L,(L,(L,L9),x),(L,y)) is M2( the carrier of L)
(L,(L,(L,L9),x)) "\/" (L,(L,y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),x)),(L,(L,y))) is M2( the carrier of L)
(L,((L,(L,(L,L9),x)) "\/" (L,(L,y)))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9),x)) "\/" (L,(L,y))) is M2( the carrier of L)
(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))) is M2( the carrier of L)
(L,(L,L9),(L,x)) is M2( the carrier of L)
(L,(L,L9)) "\/" (L,(L,x)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,(L,x))) is M2( the carrier of L)
(L,((L,(L,L9)) "\/" (L,(L,x)))) is M2( the carrier of L)
the of L . ((L,(L,L9)) "\/" (L,(L,x))) is M2( the carrier of L)
(L,(L,(L,L9),(L,x)),y) is M2( the carrier of L)
(L,(L,(L,L9),(L,x))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,x)) is M2( the carrier of L)
(L,(L,(L,L9),(L,x))) "\/" (L,y) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,x))),(L,y)) is M2( the carrier of L)
(L,((L,(L,(L,L9),(L,x))) "\/" (L,y))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9),(L,x))) "\/" (L,y)) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)) is M2( the carrier of L)
(L,(L,(L,L9),(L,x)),(L,y)) is M2( the carrier of L)
(L,(L,(L,L9),(L,x))) "\/" (L,(L,y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,x))),(L,(L,y))) is M2( the carrier of L)
(L,((L,(L,(L,L9),(L,x))) "\/" (L,(L,y)))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9),(L,x))) "\/" (L,(L,y))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
(L,(L,(L,L9),x),(L,(L,L9),(L,x))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9),x),(L,(L,L9),(L,x))) is M2( the carrier of L)
(L,(L,(L,(L,L9),x),y),(L,(L,(L,L9),x),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),x),y),(L,(L,(L,L9),x),(L,y))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9),x),y),(L,(L,(L,L9),x),(L,y))),(L,(L,L9),(L,x))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9),x),y),(L,(L,(L,L9),x),(L,y))),(L,(L,L9),(L,x))) is M2( the carrier of L)
(L,(L,(L,(L,L9),(L,x)),y),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,x)),y),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9),x),y),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,(L,L9),(L,x)),y),(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9),x),y),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,(L,L9),(L,x)),y),(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
(L,(L,x),(L,y)) is M2( the carrier of L)
(L,(L,x)) "\/" (L,(L,y)) is M2( the carrier of L)
the L_join of L . ((L,(L,x)),(L,(L,y))) is M2( the carrier of L)
(L,((L,(L,x)) "\/" (L,(L,y)))) is M2( the carrier of L)
the of L . ((L,(L,x)) "\/" (L,(L,y))) is M2( the carrier of L)
(L,L9,(L,(L,x),(L,y))) is M2( the carrier of L)
(L,(L,(L,x),(L,y))) is M2( the carrier of L)
the of L . (L,(L,x),(L,y)) is M2( the carrier of L)
(L,L9) "\/" (L,(L,(L,x),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,(L,(L,x),(L,y)))) is M2( the carrier of L)
(L,((L,L9) "\/" (L,(L,(L,x),(L,y))))) is M2( the carrier of L)
the of L . ((L,L9) "\/" (L,(L,(L,x),(L,y)))) is M2( the carrier of L)
(L,(L,L9),(L,(L,x),(L,y))) is M2( the carrier of L)
(L,(L,L9)) "\/" (L,(L,(L,x),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,(L,(L,x),(L,y)))) is M2( the carrier of L)
(L,((L,(L,L9)) "\/" (L,(L,(L,x),(L,y))))) is M2( the carrier of L)
the of L . ((L,(L,L9)) "\/" (L,(L,(L,x),(L,y)))) is M2( the carrier of L)
(L,(L,L9,(L,(L,x),(L,y))),(L,(L,L9),(L,(L,x),(L,y)))) is M2( the carrier of L)
the L_join of L . ((L,L9,(L,(L,x),(L,y))),(L,(L,L9),(L,(L,x),(L,y)))) is M2( the carrier of L)
(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,L9),(L,(L,x),(L,y)))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,(L,x)),(L,y)),(L,(L,L9),(L,(L,x),(L,y)))) is M2( the carrier of L)
(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
(L,(L,L9),(L,(L,x,y))) is M2( the carrier of L)
(L,(L,(L,(L,x),(L,y)))) is M2( the carrier of L)
the of L . (L,(L,(L,x),(L,y))) is M2( the carrier of L)
(L,(L,L9),(L,(L,(L,(L,x),(L,y))))) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,(L,(L,(L,x),(L,y))))) is M2( the carrier of L)
(L,(L,L9),(L,(L,x),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,(L,x),(L,y))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9),x),y),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,(L,L9),(L,x)),y),(L,(L,(L,L9),(L,x)),(L,y)))),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9),x),y),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,(L,L9),(L,x)),y),(L,(L,(L,L9),(L,x)),(L,y)))),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9),x),y),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,(L,L9),(L,x)),y),(L,(L,(L,L9),(L,x)),(L,y)))),(L,(L,(L,L9),(L,x)),(L,y))),(L,(L,L9,(L,x)),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,L9),x),y),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,(L,L9),(L,x)),y),(L,(L,(L,L9),(L,x)),(L,y)))),(L,(L,(L,L9),(L,x)),(L,y))),(L,(L,L9,(L,x)),(L,y))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9),x),y),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9),x),y),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9),x),y),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9),x),y),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9),x),y),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,L9),x),y),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,L9),x),y),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))),(L,(L,(L,L9),(L,x)),(L,y))),(L,(L,L9,(L,x)),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,L9),x),y),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))),(L,(L,(L,L9),(L,x)),(L,y))),(L,(L,L9,(L,x)),(L,y))) is M2( the carrier of L)
(L,(L,(L,(L,L9),(L,x)),(L,y)),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,x)),(L,y)),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9),x),y),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,(L,L9),(L,x)),(L,y)),(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9),x),y),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,(L,L9),(L,x)),(L,y)),(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9),x),y),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,(L,L9),(L,x)),(L,y)),(L,(L,(L,L9),(L,x)),(L,y)))),(L,(L,L9,(L,x)),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,L9),x),y),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,(L,L9),(L,x)),(L,y)),(L,(L,(L,L9),(L,x)),(L,y)))),(L,(L,L9,(L,x)),(L,y))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9),x),y),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))),(L,(L,L9,(L,x)),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,L9),x),y),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))),(L,(L,L9,(L,x)),(L,y))) is M2( the carrier of L)
(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,(L,(L,L9),x),y),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,(L,L9),(L,x)),y),(L,(L,(L,L9),(L,x)),(L,y))))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,(L,x)),(L,y)),(L,(L,(L,(L,(L,L9),x),y),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,(L,L9),(L,x)),y),(L,(L,(L,L9),(L,x)),(L,y))))) is M2( the carrier of L)
(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,(L,L9),x),y),(L,(L,(L,L9),x),(L,y)))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,(L,x)),(L,y)),(L,(L,(L,(L,L9),x),y),(L,(L,(L,L9),x),(L,y)))) is M2( the carrier of L)
(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,(L,L9),x),y),(L,(L,(L,L9),x),(L,y)))),(L,(L,(L,(L,L9),(L,x)),y),(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,(L,L9),x),y),(L,(L,(L,L9),x),(L,y)))),(L,(L,(L,(L,L9),(L,x)),y),(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,(L,L9),x),y),(L,(L,(L,L9),x),(L,y)))),(L,(L,(L,L9),(L,x)),y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,(L,L9),x),y),(L,(L,(L,L9),x),(L,y)))),(L,(L,(L,L9),(L,x)),y)) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,(L,L9),x),y),(L,(L,(L,L9),x),(L,y)))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,(L,L9),x),y),(L,(L,(L,L9),x),(L,y)))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
L is non empty join-commutative join-associative upper-bounded () () ()
the carrier of L is V11() set
Top L is M2( the carrier of L)
L9 is M2( the carrier of L)
x is M2( the carrier of L)
(L,L9,x) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,x) is M2( the carrier of L)
the of L . x is M2( the carrier of L)
(L,L9) "\/" (L,x) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,L9),(L,x)) is M2( the carrier of L)
(L,((L,L9) "\/" (L,x))) is M2( the carrier of L)
the of L . ((L,L9) "\/" (L,x)) is M2( the carrier of L)
y is M2( the carrier of L)
(L,L9,y) is M2( the carrier of L)
(L,y) is M2( the carrier of L)
the of L . y is M2( the carrier of L)
(L,L9) "\/" (L,y) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,y)) is M2( the carrier of L)
(L,((L,L9) "\/" (L,y))) is M2( the carrier of L)
the of L . ((L,L9) "\/" (L,y)) is M2( the carrier of L)
(L,(L,L9,x),(L,L9,y)) is M2( the carrier of L)
the L_join of L . ((L,L9,x),(L,L9,y)) is M2( the carrier of L)
(L,x,y) is M2( the carrier of L)
the L_join of L . (x,y) is M2( the carrier of L)
(L,L9,(L,x,y)) is M2( the carrier of L)
(L,(L,x,y)) is M2( the carrier of L)
the of L . (L,x,y) is M2( the carrier of L)
(L,L9) "\/" (L,(L,x,y)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,(L,x,y))) is M2( the carrier of L)
(L,((L,L9) "\/" (L,(L,x,y)))) is M2( the carrier of L)
the of L . ((L,L9) "\/" (L,(L,x,y))) is M2( the carrier of L)
(L,(L,L9,(L,x,y))) is M2( the carrier of L)
the of L . (L,L9,(L,x,y)) is M2( the carrier of L)
(L,(L,(L,L9,x),(L,L9,y)),(L,(L,L9,(L,x,y)))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,x),(L,L9,y)),(L,(L,L9,(L,x,y)))) is M2( the carrier of L)
(L,(L,L9,x),y) is M2( the carrier of L)
(L,(L,L9,x)) is M2( the carrier of L)
the of L . (L,L9,x) is M2( the carrier of L)
(L,(L,L9,x)) "\/" (L,y) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,x)),(L,y)) is M2( the carrier of L)
(L,((L,(L,L9,x)) "\/" (L,y))) is M2( the carrier of L)
the of L . ((L,(L,L9,x)) "\/" (L,y)) is M2( the carrier of L)
(L,(L,L9,x),(L,y)) is M2( the carrier of L)
(L,(L,y)) is M2( the carrier of L)
the of L . (L,y) is M2( the carrier of L)
(L,(L,L9,x)) "\/" (L,(L,y)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,x)),(L,(L,y))) is M2( the carrier of L)
(L,((L,(L,L9,x)) "\/" (L,(L,y)))) is M2( the carrier of L)
the of L . ((L,(L,L9,x)) "\/" (L,(L,y))) is M2( the carrier of L)
(L,L9,(L,x)) is M2( the carrier of L)
(L,(L,x)) is M2( the carrier of L)
the of L . (L,x) is M2( the carrier of L)
(L,L9) "\/" (L,(L,x)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,(L,x))) is M2( the carrier of L)
(L,((L,L9) "\/" (L,(L,x)))) is M2( the carrier of L)
the of L . ((L,L9) "\/" (L,(L,x))) is M2( the carrier of L)
(L,(L,L9,(L,x)),y) is M2( the carrier of L)
(L,(L,L9,(L,x))) is M2( the carrier of L)
the of L . (L,L9,(L,x)) is M2( the carrier of L)
(L,(L,L9,(L,x))) "\/" (L,y) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,(L,x))),(L,y)) is M2( the carrier of L)
(L,((L,(L,L9,(L,x))) "\/" (L,y))) is M2( the carrier of L)
the of L . ((L,(L,L9,(L,x))) "\/" (L,y)) is M2( the carrier of L)
(L,(L,L9,(L,x)),(L,y)) is M2( the carrier of L)
(L,(L,L9,(L,x))) "\/" (L,(L,y)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,(L,x))),(L,(L,y))) is M2( the carrier of L)
(L,((L,(L,L9,(L,x))) "\/" (L,(L,y)))) is M2( the carrier of L)
the of L . ((L,(L,L9,(L,x))) "\/" (L,(L,y))) is M2( the carrier of L)
(L,(L,L9),x) is M2( the carrier of L)
(L,(L,L9)) is M2( the carrier of L)
the of L . (L,L9) is M2( the carrier of L)
(L,(L,L9)) "\/" (L,x) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,x)) is M2( the carrier of L)
(L,((L,(L,L9)) "\/" (L,x))) is M2( the carrier of L)
the of L . ((L,(L,L9)) "\/" (L,x)) is M2( the carrier of L)
(L,(L,(L,L9),x),y) is M2( the carrier of L)
(L,(L,(L,L9),x)) is M2( the carrier of L)
the of L . (L,(L,L9),x) is M2( the carrier of L)
(L,(L,(L,L9),x)) "\/" (L,y) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),x)),(L,y)) is M2( the carrier of L)
(L,((L,(L,(L,L9),x)) "\/" (L,y))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9),x)) "\/" (L,y)) is M2( the carrier of L)
(L,(L,(L,L9),x),(L,y)) is M2( the carrier of L)
(L,(L,(L,L9),x)) "\/" (L,(L,y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),x)),(L,(L,y))) is M2( the carrier of L)
(L,((L,(L,(L,L9),x)) "\/" (L,(L,y)))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9),x)) "\/" (L,(L,y))) is M2( the carrier of L)
(L,(L,L9),(L,x)) is M2( the carrier of L)
(L,(L,L9)) "\/" (L,(L,x)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,(L,x))) is M2( the carrier of L)
(L,((L,(L,L9)) "\/" (L,(L,x)))) is M2( the carrier of L)
the of L . ((L,(L,L9)) "\/" (L,(L,x))) is M2( the carrier of L)
(L,(L,(L,L9),(L,x)),y) is M2( the carrier of L)
(L,(L,(L,L9),(L,x))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,x)) is M2( the carrier of L)
(L,(L,(L,L9),(L,x))) "\/" (L,y) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,x))),(L,y)) is M2( the carrier of L)
(L,((L,(L,(L,L9),(L,x))) "\/" (L,y))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9),(L,x))) "\/" (L,y)) is M2( the carrier of L)
(L,(L,(L,L9),(L,x)),(L,y)) is M2( the carrier of L)
(L,(L,(L,L9),(L,x))) "\/" (L,(L,y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,x))),(L,(L,y))) is M2( the carrier of L)
(L,((L,(L,(L,L9),(L,x))) "\/" (L,(L,y)))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9),(L,x))) "\/" (L,(L,y))) is M2( the carrier of L)
(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,x),y),(L,(L,L9,x),(L,y))) is M2( the carrier of L)
(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)) is M2( the carrier of L)
(L,(L,(L,(L,L9),(L,x)),y),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,x)),y),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)) is M2( the carrier of L)
(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,(L,L9),(L,x)),y),(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,(L,L9),(L,x)),y),(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,(L,L9),(L,x)),y),(L,(L,(L,L9),(L,x)),(L,y))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,(L,L9),(L,x)),y),(L,(L,(L,L9),(L,x)),(L,y))))) is M2( the carrier of L)
(L,(L,(L,(L,L9),x),(L,y)),(L,(L,(L,(L,L9),(L,x)),y),(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),x),(L,y)),(L,(L,(L,(L,L9),(L,x)),y),(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,(L,L9),x),(L,y)),(L,(L,(L,(L,L9),(L,x)),y),(L,(L,(L,L9),(L,x)),(L,y))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,(L,L9),x),(L,y)),(L,(L,(L,(L,L9),(L,x)),y),(L,(L,(L,L9),(L,x)),(L,y))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,(L,L9),x),(L,y)),(L,(L,(L,(L,L9),(L,x)),y),(L,(L,(L,L9),(L,x)),(L,y)))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,(L,L9),x),(L,y)),(L,(L,(L,(L,L9),(L,x)),y),(L,(L,(L,L9),(L,x)),(L,y)))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y))),(L,(L,(L,(L,L9),x),(L,y)),(L,(L,(L,(L,L9),(L,x)),y),(L,(L,(L,L9),(L,x)),(L,y))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y))),(L,(L,(L,(L,L9),x),(L,y)),(L,(L,(L,(L,L9),(L,x)),y),(L,(L,(L,L9),(L,x)),(L,y))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,L9,(L,x)),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,L9,(L,x)),(L,y))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,L9,(L,x)),(L,y))),(L,(L,(L,L9),x),y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,L9,(L,x)),(L,y))),(L,(L,(L,L9),x),y)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,L9,(L,x)),(L,y))),(L,(L,(L,L9),x),y)),(L,(L,(L,(L,L9),x),(L,y)),(L,(L,(L,(L,L9),(L,x)),y),(L,(L,(L,L9),(L,x)),(L,y))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,L9,(L,x)),(L,y))),(L,(L,(L,L9),x),y)),(L,(L,(L,(L,L9),x),(L,y)),(L,(L,(L,(L,L9),(L,x)),y),(L,(L,(L,L9),(L,x)),(L,y))))) is M2( the carrier of L)
(L,(L,(L,(L,L9),x),y),(L,(L,(L,(L,L9),x),(L,y)),(L,(L,(L,(L,L9),(L,x)),y),(L,(L,(L,L9),(L,x)),(L,y))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),x),y),(L,(L,(L,(L,L9),x),(L,y)),(L,(L,(L,(L,L9),(L,x)),y),(L,(L,(L,L9),(L,x)),(L,y))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,L9,(L,x)),(L,y))),(L,(L,(L,(L,L9),x),y),(L,(L,(L,(L,L9),x),(L,y)),(L,(L,(L,(L,L9),(L,x)),y),(L,(L,(L,L9),(L,x)),(L,y)))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,L9,(L,x)),(L,y))),(L,(L,(L,(L,L9),x),y),(L,(L,(L,(L,L9),x),(L,y)),(L,(L,(L,(L,L9),(L,x)),y),(L,(L,(L,L9),(L,x)),(L,y)))))) is M2( the carrier of L)
(L,(L,(L,(L,L9),x),(L,y)),(L,(L,(L,L9),(L,x)),y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),x),(L,y)),(L,(L,(L,L9),(L,x)),y)) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9),x),(L,y)),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9),x),(L,y)),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
(L,(L,(L,(L,L9),x),y),(L,(L,(L,(L,(L,L9),x),(L,y)),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),x),y),(L,(L,(L,(L,(L,L9),x),(L,y)),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,L9,(L,x)),(L,y))),(L,(L,(L,(L,L9),x),y),(L,(L,(L,(L,(L,L9),x),(L,y)),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,L9,(L,x)),(L,y))),(L,(L,(L,(L,L9),x),y),(L,(L,(L,(L,(L,L9),x),(L,y)),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,L9,(L,x)),(L,y))),(L,(L,(L,L9),x),y)),(L,(L,(L,(L,(L,L9),x),(L,y)),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,L9,(L,x)),(L,y))),(L,(L,(L,L9),x),y)),(L,(L,(L,(L,(L,L9),x),(L,y)),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,L9,(L,x)),(L,y))),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,L9,(L,x)),(L,y))),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,L9,(L,x)),(L,y))),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,(L,L9),(L,x)),y),(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,L9,(L,x)),(L,y))),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,(L,L9),(L,x)),y),(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,L9,(L,x)),(L,y))),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,L9,(L,x)),(L,y))),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,L9,(L,x)),(L,y))),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,L9,(L,x)),(L,y))),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
L is non empty join-commutative join-associative upper-bounded () () ()
the carrier of L is V11() set
(L) is M2( the carrier of L)
L9 is M2( the carrier of L)
x is M2( the carrier of L)
(L,L9,x) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,x) is M2( the carrier of L)
the of L . x is M2( the carrier of L)
(L,L9) "\/" (L,x) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,L9),(L,x)) is M2( the carrier of L)
(L,((L,L9) "\/" (L,x))) is M2( the carrier of L)
the of L . ((L,L9) "\/" (L,x)) is M2( the carrier of L)
y is M2( the carrier of L)
(L,L9,y) is M2( the carrier of L)
(L,y) is M2( the carrier of L)
the of L . y is M2( the carrier of L)
(L,L9) "\/" (L,y) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,y)) is M2( the carrier of L)
(L,((L,L9) "\/" (L,y))) is M2( the carrier of L)
the of L . ((L,L9) "\/" (L,y)) is M2( the carrier of L)
(L,(L,L9,x),(L,L9,y)) is M2( the carrier of L)
the L_join of L . ((L,L9,x),(L,L9,y)) is M2( the carrier of L)
(L,x,y) is M2( the carrier of L)
the L_join of L . (x,y) is M2( the carrier of L)
(L,L9,(L,x,y)) is M2( the carrier of L)
(L,(L,x,y)) is M2( the carrier of L)
the of L . (L,x,y) is M2( the carrier of L)
(L,L9) "\/" (L,(L,x,y)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,(L,x,y))) is M2( the carrier of L)
(L,((L,L9) "\/" (L,(L,x,y)))) is M2( the carrier of L)
the of L . ((L,L9) "\/" (L,(L,x,y))) is M2( the carrier of L)
(L,(L,L9,(L,x,y))) is M2( the carrier of L)
the of L . (L,L9,(L,x,y)) is M2( the carrier of L)
(L,(L,(L,L9,x),(L,L9,y)),(L,(L,L9,(L,x,y)))) is M2( the carrier of L)
(L,(L,(L,L9,x),(L,L9,y))) is M2( the carrier of L)
the of L . (L,(L,L9,x),(L,L9,y)) is M2( the carrier of L)
(L,(L,(L,L9,(L,x,y)))) is M2( the carrier of L)
the of L . (L,(L,L9,(L,x,y))) is M2( the carrier of L)
(L,(L,(L,L9,x),(L,L9,y))) "\/" (L,(L,(L,L9,(L,x,y)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),(L,L9,y))),(L,(L,(L,L9,(L,x,y))))) is M2( the carrier of L)
(L,((L,(L,(L,L9,x),(L,L9,y))) "\/" (L,(L,(L,L9,(L,x,y)))))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9,x),(L,L9,y))) "\/" (L,(L,(L,L9,(L,x,y))))) is M2( the carrier of L)
(L,(L,L9,x),y) is M2( the carrier of L)
(L,(L,L9,x)) is M2( the carrier of L)
the of L . (L,L9,x) is M2( the carrier of L)
(L,(L,L9,x)) "\/" (L,y) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,x)),(L,y)) is M2( the carrier of L)
(L,((L,(L,L9,x)) "\/" (L,y))) is M2( the carrier of L)
the of L . ((L,(L,L9,x)) "\/" (L,y)) is M2( the carrier of L)
(L,(L,L9,x),(L,y)) is M2( the carrier of L)
(L,(L,y)) is M2( the carrier of L)
the of L . (L,y) is M2( the carrier of L)
(L,(L,L9,x)) "\/" (L,(L,y)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,x)),(L,(L,y))) is M2( the carrier of L)
(L,((L,(L,L9,x)) "\/" (L,(L,y)))) is M2( the carrier of L)
the of L . ((L,(L,L9,x)) "\/" (L,(L,y))) is M2( the carrier of L)
(L,L9,(L,x)) is M2( the carrier of L)
(L,(L,x)) is M2( the carrier of L)
the of L . (L,x) is M2( the carrier of L)
(L,L9) "\/" (L,(L,x)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,(L,x))) is M2( the carrier of L)
(L,((L,L9) "\/" (L,(L,x)))) is M2( the carrier of L)
the of L . ((L,L9) "\/" (L,(L,x))) is M2( the carrier of L)
(L,(L,L9,(L,x)),y) is M2( the carrier of L)
(L,(L,L9,(L,x))) is M2( the carrier of L)
the of L . (L,L9,(L,x)) is M2( the carrier of L)
(L,(L,L9,(L,x))) "\/" (L,y) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,(L,x))),(L,y)) is M2( the carrier of L)
(L,((L,(L,L9,(L,x))) "\/" (L,y))) is M2( the carrier of L)
the of L . ((L,(L,L9,(L,x))) "\/" (L,y)) is M2( the carrier of L)
(L,(L,L9,(L,x)),(L,y)) is M2( the carrier of L)
(L,(L,L9,(L,x))) "\/" (L,(L,y)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,(L,x))),(L,(L,y))) is M2( the carrier of L)
(L,((L,(L,L9,(L,x))) "\/" (L,(L,y)))) is M2( the carrier of L)
the of L . ((L,(L,L9,(L,x))) "\/" (L,(L,y))) is M2( the carrier of L)
(L,(L,L9),x) is M2( the carrier of L)
(L,(L,L9)) is M2( the carrier of L)
the of L . (L,L9) is M2( the carrier of L)
(L,(L,L9)) "\/" (L,x) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,x)) is M2( the carrier of L)
(L,((L,(L,L9)) "\/" (L,x))) is M2( the carrier of L)
the of L . ((L,(L,L9)) "\/" (L,x)) is M2( the carrier of L)
(L,(L,(L,L9),x),y) is M2( the carrier of L)
(L,(L,(L,L9),x)) is M2( the carrier of L)
the of L . (L,(L,L9),x) is M2( the carrier of L)
(L,(L,(L,L9),x)) "\/" (L,y) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),x)),(L,y)) is M2( the carrier of L)
(L,((L,(L,(L,L9),x)) "\/" (L,y))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9),x)) "\/" (L,y)) is M2( the carrier of L)
(L,(L,(L,L9),x),(L,y)) is M2( the carrier of L)
(L,(L,(L,L9),x)) "\/" (L,(L,y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),x)),(L,(L,y))) is M2( the carrier of L)
(L,((L,(L,(L,L9),x)) "\/" (L,(L,y)))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9),x)) "\/" (L,(L,y))) is M2( the carrier of L)
(L,(L,L9),(L,x)) is M2( the carrier of L)
(L,(L,L9)) "\/" (L,(L,x)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,(L,x))) is M2( the carrier of L)
(L,((L,(L,L9)) "\/" (L,(L,x)))) is M2( the carrier of L)
the of L . ((L,(L,L9)) "\/" (L,(L,x))) is M2( the carrier of L)
(L,(L,(L,L9),(L,x)),y) is M2( the carrier of L)
(L,(L,(L,L9),(L,x))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,x)) is M2( the carrier of L)
(L,(L,(L,L9),(L,x))) "\/" (L,y) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,x))),(L,y)) is M2( the carrier of L)
(L,((L,(L,(L,L9),(L,x))) "\/" (L,y))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9),(L,x))) "\/" (L,y)) is M2( the carrier of L)
(L,(L,(L,L9),(L,x)),(L,y)) is M2( the carrier of L)
(L,(L,(L,L9),(L,x))) "\/" (L,(L,y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,x))),(L,(L,y))) is M2( the carrier of L)
(L,((L,(L,(L,L9),(L,x))) "\/" (L,(L,y)))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9),(L,x))) "\/" (L,(L,y))) is M2( the carrier of L)
(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)) is M2( the carrier of L)
(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)) is M2( the carrier of L)
(L,(L,(L,L9,x),y),(L,(L,L9,(L,x)),(L,y))) is M2( the carrier of L)
(L,(L,(L,L9,x),y)) is M2( the carrier of L)
the of L . (L,(L,L9,x),y) is M2( the carrier of L)
(L,(L,(L,L9,(L,x)),(L,y))) is M2( the carrier of L)
the of L . (L,(L,L9,(L,x)),(L,y)) is M2( the carrier of L)
(L,(L,(L,L9,x),y)) "\/" (L,(L,(L,L9,(L,x)),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),y)),(L,(L,(L,L9,(L,x)),(L,y)))) is M2( the carrier of L)
(L,((L,(L,(L,L9,x),y)) "\/" (L,(L,(L,L9,(L,x)),(L,y))))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9,x),y)) "\/" (L,(L,(L,L9,(L,x)),(L,y)))) is M2( the carrier of L)
(L,(L,(L,L9,x),y),(L,(L,(L,L9),x),y)) is M2( the carrier of L)
(L,(L,(L,(L,L9),x),y)) is M2( the carrier of L)
the of L . (L,(L,(L,L9),x),y) is M2( the carrier of L)
(L,(L,(L,L9,x),y)) "\/" (L,(L,(L,(L,L9),x),y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),y)),(L,(L,(L,(L,L9),x),y))) is M2( the carrier of L)
(L,((L,(L,(L,L9,x),y)) "\/" (L,(L,(L,(L,L9),x),y)))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9,x),y)) "\/" (L,(L,(L,(L,L9),x),y))) is M2( the carrier of L)
(L,(L,(L,(L,L9,x),y),(L,(L,L9,(L,x)),(L,y))),(L,(L,(L,L9,x),y),(L,(L,(L,L9),x),y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),y),(L,(L,L9,(L,x)),(L,y))),(L,(L,(L,L9,x),y),(L,(L,(L,L9),x),y))) is M2( the carrier of L)
(L,(L),(L,(L,(L,L9,x),y),(L,(L,(L,L9),x),y))) is M2( the carrier of L)
the L_join of L . ((L),(L,(L,(L,L9,x),y),(L,(L,(L,L9),x),y))) is M2( the carrier of L)
(L,(L),(L)) is M2( the carrier of L)
the L_join of L . ((L),(L)) is M2( the carrier of L)
Top L is M2( the carrier of L)
(L,(L,(L,L9,x),y),(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y))) is M2( the carrier of L)
(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y))) is M2( the carrier of L)
the of L . (L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)) is M2( the carrier of L)
(L,(L,(L,L9,x),y)) "\/" (L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),y)),(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)))) is M2( the carrier of L)
(L,((L,(L,(L,L9,x),y)) "\/" (L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y))))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9,x),y)) "\/" (L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)))) is M2( the carrier of L)
(L,(L,(L,(L,L9,x),y),(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)))) is M2( the carrier of L)
the of L . (L,(L,(L,L9,x),y),(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y))) is M2( the carrier of L)
(L,(L),(L,(L,(L,(L,L9,x),y),(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y))))) is M2( the carrier of L)
the L_join of L . ((L),(L,(L,(L,(L,L9,x),y),(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,x),y),(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,L9,x),y),(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)))) is M2( the carrier of L)
(L,(L,(L,L9,x),y),(L,(L,(L,L9),x),(L,y))) is M2( the carrier of L)
(L,(L,(L,(L,L9),x),(L,y))) is M2( the carrier of L)
the of L . (L,(L,(L,L9),x),(L,y)) is M2( the carrier of L)
(L,(L,(L,L9,x),y)) "\/" (L,(L,(L,(L,L9),x),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),y)),(L,(L,(L,(L,L9),x),(L,y)))) is M2( the carrier of L)
(L,((L,(L,(L,L9,x),y)) "\/" (L,(L,(L,(L,L9),x),(L,y))))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9,x),y)) "\/" (L,(L,(L,(L,L9),x),(L,y)))) is M2( the carrier of L)
(L,(L,(L,(L,L9,x),y),(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y))),(L,(L,(L,L9,x),y),(L,(L,(L,L9),x),(L,y)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),y),(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y))),(L,(L,(L,L9,x),y),(L,(L,(L,L9),x),(L,y)))) is M2( the carrier of L)
(L,(L,(L,L9,x),y),(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))) is M2( the carrier of L)
(L,(L,(L,L9,x),y)) "\/" (L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),y)),(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))))) is M2( the carrier of L)
(L,((L,(L,(L,L9,x),y)) "\/" (L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y)))))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9,x),y)) "\/" (L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))))) is M2( the carrier of L)
(L,(L,(L,(L,L9,x),y),(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))))) is M2( the carrier of L)
the of L . (L,(L,(L,L9,x),y),(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y)))) is M2( the carrier of L)
(L,(L),(L,(L,(L,(L,L9,x),y),(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y)))))) is M2( the carrier of L)
the L_join of L . ((L),(L,(L,(L,(L,L9,x),y),(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y)))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,x),y),(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y)))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,L9,x),y),(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))))) is M2( the carrier of L)
(L,(L,(L,L9,x),y),(L,(L,(L,L9),(L,x)),y)) is M2( the carrier of L)
(L,(L,(L,(L,L9),(L,x)),y)) is M2( the carrier of L)
the of L . (L,(L,(L,L9),(L,x)),y) is M2( the carrier of L)
(L,(L,(L,L9,x),y)) "\/" (L,(L,(L,(L,L9),(L,x)),y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),y)),(L,(L,(L,(L,L9),(L,x)),y))) is M2( the carrier of L)
(L,((L,(L,(L,L9,x),y)) "\/" (L,(L,(L,(L,L9),(L,x)),y)))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9,x),y)) "\/" (L,(L,(L,(L,L9),(L,x)),y))) is M2( the carrier of L)
(L,(L,(L,(L,L9,x),y),(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y)))),(L,(L,(L,L9,x),y),(L,(L,(L,L9),(L,x)),y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),y),(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y)))),(L,(L,(L,L9,x),y),(L,(L,(L,L9),(L,x)),y))) is M2( the carrier of L)
(L,(L,(L,L9,x),y),(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)) is M2( the carrier of L)
(L,(L,(L,L9,x),y)) "\/" (L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),y)),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)))) is M2( the carrier of L)
(L,((L,(L,(L,L9,x),y)) "\/" (L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y))))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9,x),y)) "\/" (L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)))) is M2( the carrier of L)
(L,(L,(L,(L,L9,x),y),(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)))) is M2( the carrier of L)
the of L . (L,(L,(L,L9,x),y),(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y))) is M2( the carrier of L)
(L,(L),(L,(L,(L,(L,L9,x),y),(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y))))) is M2( the carrier of L)
the L_join of L . ((L),(L,(L,(L,(L,L9,x),y),(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,x),y),(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,L9,x),y),(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)))) is M2( the carrier of L)
(L,(L,(L,L9,x),y),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
(L,(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
the of L . (L,(L,(L,L9),(L,x)),(L,y)) is M2( the carrier of L)
(L,(L,(L,L9,x),y)) "\/" (L,(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),y)),(L,(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
(L,((L,(L,(L,L9,x),y)) "\/" (L,(L,(L,(L,L9),(L,x)),(L,y))))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9,x),y)) "\/" (L,(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
(L,(L,(L,(L,L9,x),y),(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y))),(L,(L,(L,L9,x),y),(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),y),(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y))),(L,(L,(L,L9,x),y),(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
(L,(L,(L,L9,x),y),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
(L,(L,(L,L9,x),y)) "\/" (L,(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),y)),(L,(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))))) is M2( the carrier of L)
(L,((L,(L,(L,L9,x),y)) "\/" (L,(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y)))))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9,x),y)) "\/" (L,(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))))) is M2( the carrier of L)
(L,(L,(L,(L,L9,x),y),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))))) is M2( the carrier of L)
the of L . (L,(L,(L,L9,x),y),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
(L,(L),(L,(L,(L,(L,L9,x),y),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y)))))) is M2( the carrier of L)
the L_join of L . ((L),(L,(L,(L,(L,L9,x),y),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y)))))) is M2( the carrier of L)
(L,(L,(L,L9,x),(L,y)),(L,(L,L9,(L,x)),(L,y))) is M2( the carrier of L)
(L,(L,(L,L9,x),(L,y))) is M2( the carrier of L)
the of L . (L,(L,L9,x),(L,y)) is M2( the carrier of L)
(L,(L,(L,L9,x),(L,y))) "\/" (L,(L,(L,L9,(L,x)),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),(L,y))),(L,(L,(L,L9,(L,x)),(L,y)))) is M2( the carrier of L)
(L,((L,(L,(L,L9,x),(L,y))) "\/" (L,(L,(L,L9,(L,x)),(L,y))))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9,x),(L,y))) "\/" (L,(L,(L,L9,(L,x)),(L,y)))) is M2( the carrier of L)
(L,(L,(L,L9,x),(L,y)),(L,(L,(L,L9),x),y)) is M2( the carrier of L)
(L,(L,(L,L9,x),(L,y))) "\/" (L,(L,(L,(L,L9),x),y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),(L,y))),(L,(L,(L,(L,L9),x),y))) is M2( the carrier of L)
(L,((L,(L,(L,L9,x),(L,y))) "\/" (L,(L,(L,(L,L9),x),y)))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9,x),(L,y))) "\/" (L,(L,(L,(L,L9),x),y))) is M2( the carrier of L)
(L,(L,(L,(L,L9,x),(L,y)),(L,(L,L9,(L,x)),(L,y))),(L,(L,(L,L9,x),(L,y)),(L,(L,(L,L9),x),y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),(L,y)),(L,(L,L9,(L,x)),(L,y))),(L,(L,(L,L9,x),(L,y)),(L,(L,(L,L9),x),y))) is M2( the carrier of L)
(L,(L),(L,(L,(L,L9,x),(L,y)),(L,(L,(L,L9),x),y))) is M2( the carrier of L)
the L_join of L . ((L),(L,(L,(L,L9,x),(L,y)),(L,(L,(L,L9),x),y))) is M2( the carrier of L)
(L,(L,(L,L9,x),(L,y)),(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y))) is M2( the carrier of L)
(L,(L,(L,L9,x),(L,y))) "\/" (L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),(L,y))),(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)))) is M2( the carrier of L)
(L,((L,(L,(L,L9,x),(L,y))) "\/" (L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y))))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9,x),(L,y))) "\/" (L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)))) is M2( the carrier of L)
(L,(L,(L,(L,L9,x),(L,y)),(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)))) is M2( the carrier of L)
the of L . (L,(L,(L,L9,x),(L,y)),(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y))) is M2( the carrier of L)
(L,(L),(L,(L,(L,(L,L9,x),(L,y)),(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y))))) is M2( the carrier of L)
the L_join of L . ((L),(L,(L,(L,(L,L9,x),(L,y)),(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,x),(L,y)),(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,L9,x),(L,y)),(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)))) is M2( the carrier of L)
(L,(L,(L,L9,x),(L,y)),(L,(L,(L,L9),x),(L,y))) is M2( the carrier of L)
(L,(L,(L,L9,x),(L,y))) "\/" (L,(L,(L,(L,L9),x),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),(L,y))),(L,(L,(L,(L,L9),x),(L,y)))) is M2( the carrier of L)
(L,((L,(L,(L,L9,x),(L,y))) "\/" (L,(L,(L,(L,L9),x),(L,y))))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9,x),(L,y))) "\/" (L,(L,(L,(L,L9),x),(L,y)))) is M2( the carrier of L)
(L,(L,(L,(L,L9,x),(L,y)),(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y))),(L,(L,(L,L9,x),(L,y)),(L,(L,(L,L9),x),(L,y)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),(L,y)),(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y))),(L,(L,(L,L9,x),(L,y)),(L,(L,(L,L9),x),(L,y)))) is M2( the carrier of L)
(L,(L,(L,L9,x),(L,y)),(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y)))) is M2( the carrier of L)
(L,(L,(L,L9,x),(L,y))) "\/" (L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),(L,y))),(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))))) is M2( the carrier of L)
(L,((L,(L,(L,L9,x),(L,y))) "\/" (L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y)))))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9,x),(L,y))) "\/" (L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))))) is M2( the carrier of L)
(L,(L,(L,(L,L9,x),(L,y)),(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))))) is M2( the carrier of L)
the of L . (L,(L,(L,L9,x),(L,y)),(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y)))) is M2( the carrier of L)
(L,(L),(L,(L,(L,(L,L9,x),(L,y)),(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y)))))) is M2( the carrier of L)
the L_join of L . ((L),(L,(L,(L,(L,L9,x),(L,y)),(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y)))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,x),(L,y)),(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y)))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,L9,x),(L,y)),(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))))) is M2( the carrier of L)
(L,(L,(L,L9,x),(L,y)),(L,(L,(L,L9),(L,x)),y)) is M2( the carrier of L)
(L,(L,(L,L9,x),(L,y))) "\/" (L,(L,(L,(L,L9),(L,x)),y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),(L,y))),(L,(L,(L,(L,L9),(L,x)),y))) is M2( the carrier of L)
(L,((L,(L,(L,L9,x),(L,y))) "\/" (L,(L,(L,(L,L9),(L,x)),y)))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9,x),(L,y))) "\/" (L,(L,(L,(L,L9),(L,x)),y))) is M2( the carrier of L)
(L,(L,(L,(L,L9,x),(L,y)),(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y)))),(L,(L,(L,L9,x),(L,y)),(L,(L,(L,L9),(L,x)),y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),(L,y)),(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y)))),(L,(L,(L,L9,x),(L,y)),(L,(L,(L,L9),(L,x)),y))) is M2( the carrier of L)
(L,(L,(L,L9,x),(L,y)),(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y))) is M2( the carrier of L)
(L,(L,(L,L9,x),(L,y))) "\/" (L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),(L,y))),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)))) is M2( the carrier of L)
(L,((L,(L,(L,L9,x),(L,y))) "\/" (L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y))))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9,x),(L,y))) "\/" (L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)))) is M2( the carrier of L)
(L,(L,(L,(L,L9,x),(L,y)),(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)))) is M2( the carrier of L)
the of L . (L,(L,(L,L9,x),(L,y)),(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y))) is M2( the carrier of L)
(L,(L),(L,(L,(L,(L,L9,x),(L,y)),(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y))))) is M2( the carrier of L)
the L_join of L . ((L),(L,(L,(L,(L,L9,x),(L,y)),(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,x),(L,y)),(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,L9,x),(L,y)),(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)))) is M2( the carrier of L)
(L,(L,(L,L9,(L,x)),y),(L,(L,L9,(L,x)),(L,y))) is M2( the carrier of L)
(L,(L,(L,L9,(L,x)),y)) is M2( the carrier of L)
the of L . (L,(L,L9,(L,x)),y) is M2( the carrier of L)
(L,(L,(L,L9,(L,x)),y)) "\/" (L,(L,(L,L9,(L,x)),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,(L,x)),y)),(L,(L,(L,L9,(L,x)),(L,y)))) is M2( the carrier of L)
(L,((L,(L,(L,L9,(L,x)),y)) "\/" (L,(L,(L,L9,(L,x)),(L,y))))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9,(L,x)),y)) "\/" (L,(L,(L,L9,(L,x)),(L,y)))) is M2( the carrier of L)
(L,(L,(L,L9,(L,x)),y),(L,(L,(L,L9),x),y)) is M2( the carrier of L)
(L,(L,(L,L9,(L,x)),y)) "\/" (L,(L,(L,(L,L9),x),y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,(L,x)),y)),(L,(L,(L,(L,L9),x),y))) is M2( the carrier of L)
(L,((L,(L,(L,L9,(L,x)),y)) "\/" (L,(L,(L,(L,L9),x),y)))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9,(L,x)),y)) "\/" (L,(L,(L,(L,L9),x),y))) is M2( the carrier of L)
(L,(L,(L,(L,L9,(L,x)),y),(L,(L,L9,(L,x)),(L,y))),(L,(L,(L,L9,(L,x)),y),(L,(L,(L,L9),x),y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,(L,x)),y),(L,(L,L9,(L,x)),(L,y))),(L,(L,(L,L9,(L,x)),y),(L,(L,(L,L9),x),y))) is M2( the carrier of L)
(L,(L,(L,L9,(L,x)),y),(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y))) is M2( the carrier of L)
(L,(L,(L,L9,(L,x)),y)) "\/" (L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,(L,x)),y)),(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)))) is M2( the carrier of L)
(L,((L,(L,(L,L9,(L,x)),y)) "\/" (L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y))))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9,(L,x)),y)) "\/" (L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)))) is M2( the carrier of L)
(L,(L,(L,(L,L9,(L,x)),y),(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)))) is M2( the carrier of L)
the of L . (L,(L,(L,L9,(L,x)),y),(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y))) is M2( the carrier of L)
(L,(L),(L,(L,(L,(L,L9,(L,x)),y),(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y))))) is M2( the carrier of L)
the L_join of L . ((L),(L,(L,(L,(L,L9,(L,x)),y),(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,(L,x)),y),(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,L9,(L,x)),y),(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)))) is M2( the carrier of L)
(L,(L,(L,L9,(L,x)),y),(L,(L,(L,L9),x),(L,y))) is M2( the carrier of L)
(L,(L,(L,L9,(L,x)),y)) "\/" (L,(L,(L,(L,L9),x),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,(L,x)),y)),(L,(L,(L,(L,L9),x),(L,y)))) is M2( the carrier of L)
(L,((L,(L,(L,L9,(L,x)),y)) "\/" (L,(L,(L,(L,L9),x),(L,y))))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9,(L,x)),y)) "\/" (L,(L,(L,(L,L9),x),(L,y)))) is M2( the carrier of L)
(L,(L,(L,(L,L9,(L,x)),y),(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y))),(L,(L,(L,L9,(L,x)),y),(L,(L,(L,L9),x),(L,y)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,(L,x)),y),(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y))),(L,(L,(L,L9,(L,x)),y),(L,(L,(L,L9),x),(L,y)))) is M2( the carrier of L)
(L,(L,(L,L9,(L,x)),y),(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y)))) is M2( the carrier of L)
(L,(L,(L,L9,(L,x)),y)) "\/" (L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,(L,x)),y)),(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))))) is M2( the carrier of L)
(L,((L,(L,(L,L9,(L,x)),y)) "\/" (L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y)))))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9,(L,x)),y)) "\/" (L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))))) is M2( the carrier of L)
(L,(L,(L,(L,L9,(L,x)),y),(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))))) is M2( the carrier of L)
the of L . (L,(L,(L,L9,(L,x)),y),(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y)))) is M2( the carrier of L)
(L,(L),(L,(L,(L,(L,L9,(L,x)),y),(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y)))))) is M2( the carrier of L)
the L_join of L . ((L),(L,(L,(L,(L,L9,(L,x)),y),(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y)))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,(L,x)),y),(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y)))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,L9,(L,x)),y),(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))))) is M2( the carrier of L)
(L,(L,(L,L9,(L,x)),y),(L,(L,(L,L9),(L,x)),y)) is M2( the carrier of L)
(L,(L,(L,L9,(L,x)),y)) "\/" (L,(L,(L,(L,L9),(L,x)),y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,(L,x)),y)),(L,(L,(L,(L,L9),(L,x)),y))) is M2( the carrier of L)
(L,((L,(L,(L,L9,(L,x)),y)) "\/" (L,(L,(L,(L,L9),(L,x)),y)))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9,(L,x)),y)) "\/" (L,(L,(L,(L,L9),(L,x)),y))) is M2( the carrier of L)
(L,(L,(L,(L,L9,(L,x)),y),(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y)))),(L,(L,(L,L9,(L,x)),y),(L,(L,(L,L9),(L,x)),y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,(L,x)),y),(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y)))),(L,(L,(L,L9,(L,x)),y),(L,(L,(L,L9),(L,x)),y))) is M2( the carrier of L)
(L,(L,(L,L9,(L,x)),y),(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y))) is M2( the carrier of L)
(L,(L,(L,L9,(L,x)),y)) "\/" (L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,(L,x)),y)),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)))) is M2( the carrier of L)
(L,((L,(L,(L,L9,(L,x)),y)) "\/" (L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y))))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9,(L,x)),y)) "\/" (L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)))) is M2( the carrier of L)
(L,(L,(L,(L,L9,(L,x)),y),(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)))) is M2( the carrier of L)
the of L . (L,(L,(L,L9,(L,x)),y),(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y))) is M2( the carrier of L)
(L,(L),(L,(L,(L,(L,L9,(L,x)),y),(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y))))) is M2( the carrier of L)
the L_join of L . ((L),(L,(L,(L,(L,L9,(L,x)),y),(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,(L,x)),y),(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,L9,(L,x)),y),(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)))) is M2( the carrier of L)
(L,(L,(L,L9,(L,x)),y),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
(L,(L,(L,L9,(L,x)),y)) "\/" (L,(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,(L,x)),y)),(L,(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
(L,((L,(L,(L,L9,(L,x)),y)) "\/" (L,(L,(L,(L,L9),(L,x)),(L,y))))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9,(L,x)),y)) "\/" (L,(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
(L,(L,(L,(L,L9,(L,x)),y),(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y))),(L,(L,(L,L9,(L,x)),y),(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,(L,x)),y),(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y))),(L,(L,(L,L9,(L,x)),y),(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
(L,(L,(L,L9,(L,x)),y),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
(L,(L,(L,L9,(L,x)),y)) "\/" (L,(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,(L,x)),y)),(L,(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))))) is M2( the carrier of L)
(L,((L,(L,(L,L9,(L,x)),y)) "\/" (L,(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y)))))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9,(L,x)),y)) "\/" (L,(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))))) is M2( the carrier of L)
(L,(L,(L,(L,L9,(L,x)),y),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))))) is M2( the carrier of L)
the of L . (L,(L,(L,L9,(L,x)),y),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
(L,(L),(L,(L,(L,(L,L9,(L,x)),y),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y)))))) is M2( the carrier of L)
the L_join of L . ((L),(L,(L,(L,(L,L9,(L,x)),y),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y)))))) is M2( the carrier of L)
(L,(L,(L,L9,x),(L,y)),(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
(L,(L,(L,L9,x),(L,y))) "\/" (L,(L,(L,(L,L9),(L,x)),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),(L,y))),(L,(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
(L,((L,(L,(L,L9,x),(L,y))) "\/" (L,(L,(L,(L,L9),(L,x)),(L,y))))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9,x),(L,y))) "\/" (L,(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
(L,(L,(L,(L,L9,x),(L,y)),(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y))),(L,(L,(L,L9,x),(L,y)),(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),(L,y)),(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y))),(L,(L,(L,L9,x),(L,y)),(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
(L,(L,(L,L9,x),(L,y)),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
(L,(L,(L,L9,x),(L,y))) "\/" (L,(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),(L,y))),(L,(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))))) is M2( the carrier of L)
(L,((L,(L,(L,L9,x),(L,y))) "\/" (L,(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y)))))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9,x),(L,y))) "\/" (L,(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))))) is M2( the carrier of L)
(L,(L,(L,(L,L9,x),(L,y)),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))))) is M2( the carrier of L)
the of L . (L,(L,(L,L9,x),(L,y)),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
(L,(L),(L,(L,(L,(L,L9,x),(L,y)),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y)))))) is M2( the carrier of L)
the L_join of L . ((L),(L,(L,(L,(L,L9,x),(L,y)),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y)))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,x),(L,y)),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y)))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,L9,x),(L,y)),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,x),y),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y)))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,L9,x),y),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))))) is M2( the carrier of L)
(L,(L,(L,(L,L9,x),y),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y)))),(L,(L,(L,L9,x),(L,y)),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),y),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y)))),(L,(L,(L,L9,x),(L,y)),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))))) is M2( the carrier of L)
(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,x),y),(L,(L,L9,x),(L,y))) is M2( the carrier of L)
(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y)))) is M2( the carrier of L)
the of L . (L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))) is M2( the carrier of L)
(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y)))) "\/" (L,(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y)))),(L,(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))))) is M2( the carrier of L)
(L,((L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y)))) "\/" (L,(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y)))))) is M2( the carrier of L)
the of L . ((L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y)))) "\/" (L,(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
(L,(L),(L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y)))))) is M2( the carrier of L)
the L_join of L . ((L),(L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y)))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y)))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,(L,x)),y),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y)))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,L9,(L,x)),y),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y)))),(L,(L,(L,L9,(L,x)),y),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y)))),(L,(L,(L,L9,(L,x)),y),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))))) is M2( the carrier of L)
(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y))) "\/" (L,(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y))),(L,(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))))) is M2( the carrier of L)
(L,((L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y))) "\/" (L,(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y)))))) is M2( the carrier of L)
the of L . ((L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y))) "\/" (L,(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y)))) is M2( the carrier of L)
(L,(L),(L,(L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y)))))) is M2( the carrier of L)
the L_join of L . ((L),(L,(L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y)))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y)))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,L9,x),y),(L,(L,L9,x),(L,y))),(L,(L,L9,(L,x)),y)),(L,(L,(L,(L,(L,(L,L9,(L,x)),(L,y)),(L,(L,(L,L9),x),y)),(L,(L,(L,L9),x),(L,y))),(L,(L,(L,L9),(L,x)),y)),(L,(L,(L,L9),(L,x)),(L,y))))) is M2( the carrier of L)
L is non empty join-commutative join-associative upper-bounded () () ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
x is M2( the carrier of L)
y is M2( the carrier of L)
(L,x,y) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . (x,y) is M2( the carrier of L)
(L,L9,(L,x,y)) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,(L,x,y)) is M2( the carrier of L)
the of L . (L,x,y) is M2( the carrier of L)
(L,L9) "\/" (L,(L,x,y)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,(L,x,y))) is M2( the carrier of L)
(L,((L,L9) "\/" (L,(L,x,y)))) is M2( the carrier of L)
the of L . ((L,L9) "\/" (L,(L,x,y))) is M2( the carrier of L)
(L,L9,x) is M2( the carrier of L)
(L,x) is M2( the carrier of L)
the of L . x is M2( the carrier of L)
(L,L9) "\/" (L,x) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,x)) is M2( the carrier of L)
(L,((L,L9) "\/" (L,x))) is M2( the carrier of L)
the of L . ((L,L9) "\/" (L,x)) is M2( the carrier of L)
(L,L9,y) is M2( the carrier of L)
(L,y) is M2( the carrier of L)
the of L . y is M2( the carrier of L)
(L,L9) "\/" (L,y) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,y)) is M2( the carrier of L)
(L,((L,L9) "\/" (L,y))) is M2( the carrier of L)
the of L . ((L,L9) "\/" (L,y)) is M2( the carrier of L)
(L,(L,L9,x),(L,L9,y)) is M2( the carrier of L)
the L_join of L . ((L,L9,x),(L,L9,y)) is M2( the carrier of L)
(L,(L,L9,(L,x,y))) is M2( the carrier of L)
the of L . (L,L9,(L,x,y)) is M2( the carrier of L)
(L,(L,(L,L9,x),(L,L9,y)),(L,(L,L9,(L,x,y)))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,x),(L,L9,y)),(L,(L,L9,(L,x,y)))) is M2( the carrier of L)
Top L is M2( the carrier of L)
(L,(L,(L,L9,x),(L,L9,y)),(L,(L,L9,(L,x,y)))) is M2( the carrier of L)
(L,(L,(L,L9,x),(L,L9,y))) is M2( the carrier of L)
the of L . (L,(L,L9,x),(L,L9,y)) is M2( the carrier of L)
(L,(L,(L,L9,(L,x,y)))) is M2( the carrier of L)
the of L . (L,(L,L9,(L,x,y))) is M2( the carrier of L)
(L,(L,(L,L9,x),(L,L9,y))) "\/" (L,(L,(L,L9,(L,x,y)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x),(L,L9,y))),(L,(L,(L,L9,(L,x,y))))) is M2( the carrier of L)
(L,((L,(L,(L,L9,x),(L,L9,y))) "\/" (L,(L,(L,L9,(L,x,y)))))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9,x),(L,L9,y))) "\/" (L,(L,(L,L9,(L,x,y))))) is M2( the carrier of L)
(L) is M2( the carrier of L)
L is non empty join-commutative join-associative upper-bounded () () ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
x is M2( the carrier of L)
y is M2( the carrier of L)
(L,x,y) is M2( the carrier of L)
(L,x) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . x is M2( the carrier of L)
(L,y) is M2( the carrier of L)
the of L . y is M2( the carrier of L)
(L,x) "\/" (L,y) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,x),(L,y)) is M2( the carrier of L)
(L,((L,x) "\/" (L,y))) is M2( the carrier of L)
the of L . ((L,x) "\/" (L,y)) is M2( the carrier of L)
(L,L9,(L,x,y)) is M2( the carrier of L)
the L_join of L . (L9,(L,x,y)) is M2( the carrier of L)
(L,L9,x) is M2( the carrier of L)
the L_join of L . (L9,x) is M2( the carrier of L)
(L,L9,y) is M2( the carrier of L)
the L_join of L . (L9,y) is M2( the carrier of L)
(L,(L,L9,x),(L,L9,y)) is M2( the carrier of L)
(L,(L,L9,x)) is M2( the carrier of L)
the of L . (L,L9,x) is M2( the carrier of L)
(L,(L,L9,y)) is M2( the carrier of L)
the of L . (L,L9,y) is M2( the carrier of L)
(L,(L,L9,x)) "\/" (L,(L,L9,y)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,x)),(L,(L,L9,y))) is M2( the carrier of L)
(L,((L,(L,L9,x)) "\/" (L,(L,L9,y)))) is M2( the carrier of L)
the of L . ((L,(L,L9,x)) "\/" (L,(L,L9,y))) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L . L9 is M2( the carrier of L)
(L,(L,x),(L,y)) is M2( the carrier of L)
(L,(L,(L,x),(L,y))) is M2( the carrier of L)
the of L . (L,(L,x),(L,y)) is M2( the carrier of L)
(L,(L,(L,(L,x),(L,y)))) is M2( the carrier of L)
the of L . (L,(L,(L,x),(L,y))) is M2( the carrier of L)
(L,(L,L9),(L,(L,(L,(L,x),(L,y))))) is M2( the carrier of L)
(L,(L,L9)) is M2( the carrier of L)
the of L . (L,L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,x),(L,y))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,x),(L,y)))) is M2( the carrier of L)
(L,(L,L9)) "\/" (L,(L,(L,(L,(L,x),(L,y))))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,(L,(L,(L,(L,x),(L,y)))))) is M2( the carrier of L)
(L,((L,(L,L9)) "\/" (L,(L,(L,(L,(L,x),(L,y))))))) is M2( the carrier of L)
the of L . ((L,(L,L9)) "\/" (L,(L,(L,(L,(L,x),(L,y)))))) is M2( the carrier of L)
(L,(L,(L,L9),(L,(L,(L,(L,x),(L,y)))))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,(L,(L,(L,x),(L,y))))) is M2( the carrier of L)
(L,(L,L9),(L,(L,x),(L,y))) is M2( the carrier of L)
(L,(L,L9)) "\/" (L,(L,(L,x),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,(L,(L,x),(L,y)))) is M2( the carrier of L)
(L,((L,(L,L9)) "\/" (L,(L,(L,x),(L,y))))) is M2( the carrier of L)
the of L . ((L,(L,L9)) "\/" (L,(L,(L,x),(L,y)))) is M2( the carrier of L)
(L,(L,(L,L9),(L,(L,x),(L,y)))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,(L,x),(L,y))) is M2( the carrier of L)
(L,(L,L9),(L,x)) is M2( the carrier of L)
(L,(L,x)) is M2( the carrier of L)
the of L . (L,x) is M2( the carrier of L)
(L,(L,L9)) "\/" (L,(L,x)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,(L,x))) is M2( the carrier of L)
(L,((L,(L,L9)) "\/" (L,(L,x)))) is M2( the carrier of L)
the of L . ((L,(L,L9)) "\/" (L,(L,x))) is M2( the carrier of L)
(L,(L,L9),(L,y)) is M2( the carrier of L)
(L,(L,y)) is M2( the carrier of L)
the of L . (L,y) is M2( the carrier of L)
(L,(L,L9)) "\/" (L,(L,y)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,(L,y))) is M2( the carrier of L)
(L,((L,(L,L9)) "\/" (L,(L,y)))) is M2( the carrier of L)
the of L . ((L,(L,L9)) "\/" (L,(L,y))) is M2( the carrier of L)
(L,(L,(L,L9),(L,x)),(L,(L,L9),(L,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9),(L,x)),(L,(L,L9),(L,y))) is M2( the carrier of L)
(L,(L,(L,(L,L9),(L,x)),(L,(L,L9),(L,y)))) is M2( the carrier of L)
the of L . (L,(L,(L,L9),(L,x)),(L,(L,L9),(L,y))) is M2( the carrier of L)
(L,(L,(L,L9),(L,x))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,x)) is M2( the carrier of L)
(L,(L,(L,L9),(L,y))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,y)) is M2( the carrier of L)
(L,(L,(L,(L,L9),(L,x))),(L,(L,(L,L9),(L,y)))) is M2( the carrier of L)
(L,(L,(L,(L,L9),(L,x)))) is M2( the carrier of L)
the of L . (L,(L,(L,L9),(L,x))) is M2( the carrier of L)
(L,(L,(L,(L,L9),(L,y)))) is M2( the carrier of L)
the of L . (L,(L,(L,L9),(L,y))) is M2( the carrier of L)
(L,(L,(L,(L,L9),(L,x)))) "\/" (L,(L,(L,(L,L9),(L,y)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9),(L,x)))),(L,(L,(L,(L,L9),(L,y))))) is M2( the carrier of L)
(L,((L,(L,(L,(L,L9),(L,x)))) "\/" (L,(L,(L,(L,L9),(L,y)))))) is M2( the carrier of L)
the of L . ((L,(L,(L,(L,L9),(L,x)))) "\/" (L,(L,(L,(L,L9),(L,y))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9),(L,x))),(L,(L,(L,L9),(L,y))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,L9),(L,x))),(L,(L,(L,L9),(L,y)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9),(L,x))),(L,(L,(L,L9),(L,y)))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,L9),(L,x))),(L,(L,(L,L9),(L,y))))) is M2( the carrier of L)
(L,(L,L9,x),(L,(L,(L,L9),(L,y)))) is M2( the carrier of L)
(L,(L,L9,x)) "\/" (L,(L,(L,(L,L9),(L,y)))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,x)),(L,(L,(L,(L,L9),(L,y))))) is M2( the carrier of L)
(L,((L,(L,L9,x)) "\/" (L,(L,(L,(L,L9),(L,y)))))) is M2( the carrier of L)
the of L . ((L,(L,L9,x)) "\/" (L,(L,(L,(L,L9),(L,y))))) is M2( the carrier of L)
the carrier of () is V11() V12() V31() 1 -element set
L9 is M2( the carrier of ())
x is M2( the carrier of ())
x "\/" L9 is M2( the carrier of ())
the L_join of () is V1() V4(K20( the carrier of (), the carrier of ())) V5( the carrier of ()) V6() V18(K20( the carrier of (), the carrier of ()), the carrier of ()) commutative associative idempotent M2(K19(K20(K20( the carrier of (), the carrier of ()), the carrier of ())))
K20( the carrier of (), the carrier of ()) is set
K20(K20( the carrier of (), the carrier of ()), the carrier of ()) is set
K19(K20(K20( the carrier of (), the carrier of ()), the carrier of ())) is set
the L_join of () . (x,L9) is M2( the carrier of ())
Top () is M2( the carrier of ())
x "/\" L9 is M2( the carrier of ())
the L_meet of () is V1() V4(K20( the carrier of (), the carrier of ())) V5( the carrier of ()) V6() V18(K20( the carrier of (), the carrier of ()), the carrier of ()) commutative associative idempotent M2(K19(K20(K20( the carrier of (), the carrier of ()), the carrier of ())))
the L_meet of () . (x,L9) is M2( the carrier of ())
Bottom () is M2( the carrier of ())
the carrier of () is V11() V12() V31() 1 -element set
L9 is M2( the carrier of ())
x is M2( the carrier of ())
y is M2( the carrier of ())
x "\/" y is M2( the carrier of ())
the L_join of () is V1() V4(K20( the carrier of (), the carrier of ())) V5( the carrier of ()) V6() V18(K20( the carrier of (), the carrier of ()), the carrier of ()) commutative associative idempotent M2(K19(K20(K20( the carrier of (), the carrier of ()), the carrier of ())))
K20( the carrier of (), the carrier of ()) is set
K20(K20( the carrier of (), the carrier of ()), the carrier of ()) is set
K19(K20(K20( the carrier of (), the carrier of ()), the carrier of ())) is set
the L_join of () . (x,y) is M2( the carrier of ())
L9 "/\" (x "\/" y) is M2( the carrier of ())
the L_meet of () is V1() V4(K20( the carrier of (), the carrier of ())) V5( the carrier of ()) V6() V18(K20( the carrier of (), the carrier of ()), the carrier of ()) commutative associative idempotent M2(K19(K20(K20( the carrier of (), the carrier of ()), the carrier of ())))
the L_meet of () . (L9,(x "\/" y)) is M2( the carrier of ())
L9 "/\" x is M2( the carrier of ())
the L_meet of () . (L9,x) is M2( the carrier of ())
L9 "/\" y is M2( the carrier of ())
the L_meet of () . (L9,y) is M2( the carrier of ())
(L9 "/\" x) "\/" (L9 "/\" y) is M2( the carrier of ())
the L_join of () . ((L9 "/\" x),(L9 "/\" y)) is M2( the carrier of ())
the carrier of () is V11() V12() V31() 1 -element set
L9 is M2( the carrier of ())
((),L9) is M2( the carrier of ())
the of () is V1() V4( the carrier of ()) V5( the carrier of ()) V6() V18( the carrier of (), the carrier of ()) M2(K19(K20( the carrier of (), the carrier of ())))
K20( the carrier of (), the carrier of ()) is set
K19(K20( the carrier of (), the carrier of ())) is set
the of () . L9 is M2( the carrier of ())
((),L9) "\/" L9 is M2( the carrier of ())
the L_join of () is V1() V4(K20( the carrier of (), the carrier of ())) V5( the carrier of ()) V6() V18(K20( the carrier of (), the carrier of ()), the carrier of ()) commutative associative idempotent M2(K19(K20(K20( the carrier of (), the carrier of ()), the carrier of ())))
K20(K20( the carrier of (), the carrier of ()), the carrier of ()) is set
K19(K20(K20( the carrier of (), the carrier of ()), the carrier of ())) is set
the L_join of () . (((),L9),L9) is M2( the carrier of ())
Top () is M2( the carrier of ())
((),L9) "/\" L9 is M2( the carrier of ())
the L_meet of () is V1() V4(K20( the carrier of (), the carrier of ())) V5( the carrier of ()) V6() V18(K20( the carrier of (), the carrier of ()), the carrier of ()) commutative associative idempotent M2(K19(K20(K20( the carrier of (), the carrier of ()), the carrier of ())))
the L_meet of () . (((),L9),L9) is M2( the carrier of ())
Bottom () is M2( the carrier of ())
L is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like distributive modular () ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,(L,L9)) is M2( the carrier of L)
the of L . (L,L9) is M2( the carrier of L)
(L,(L,(L,L9)),(L,L9)) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative idempotent M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,(L,L9)),(L,L9)) is M2( the carrier of L)
Top L is M2( the carrier of L)
(L,(L,L9)) "/\" (L,L9) is M2( the carrier of L)
the L_meet of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative idempotent M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
the L_meet of L . ((L,(L,L9)),(L,L9)) is M2( the carrier of L)
Bottom L is M2( the carrier of L)
(L,L9) "\/" L9 is M2( the carrier of L)
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,L9) "/\" L9 is M2( the carrier of L)
the L_meet of L . ((L,L9),L9) is M2( the carrier of L)
L is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like distributive modular lower-bounded upper-bounded bounded () ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
x is M2( the carrier of L)
L9 "/\" x is M2( the carrier of L)
the L_meet of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative idempotent M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_meet of L . (L9,x) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,x) is M2( the carrier of L)
the of L . x is M2( the carrier of L)
(L,L9) "\/" (L,x) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative idempotent M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
the L_join of L . ((L,L9),(L,x)) is M2( the carrier of L)
(L,((L,L9) "\/" (L,x))) is M2( the carrier of L)
the of L . ((L,L9) "\/" (L,x)) is M2( the carrier of L)
Top L is M2( the carrier of L)
(L,L9) "\/" (Top L) is M2( the carrier of L)
the L_join of L . ((L,L9),(Top L)) is M2( the carrier of L)
(L,x) "\/" (Top L) is M2( the carrier of L)
the L_join of L . ((L,x),(Top L)) is M2( the carrier of L)
(L,x) "\/" x is M2( the carrier of L)
the L_join of L . ((L,x),x) is M2( the carrier of L)
(L,(L9 "/\" x)) is M2( the carrier of L)
the of L . (L9 "/\" x) is M2( the carrier of L)
(L,(L9 "/\" x)) "\/" (L9 "/\" x) is M2( the carrier of L)
the L_join of L . ((L,(L9 "/\" x)),(L9 "/\" x)) is M2( the carrier of L)
(L,(L9 "/\" x)) "/\" (L9 "/\" x) is M2( the carrier of L)
the L_meet of L . ((L,(L9 "/\" x)),(L9 "/\" x)) is M2( the carrier of L)
Bottom L is M2( the carrier of L)
(L,L9) "\/" L9 is M2( the carrier of L)
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,x) "/\" x is M2( the carrier of L)
the L_meet of L . ((L,x),x) is M2( the carrier of L)
(L,L9) "/\" L9 is M2( the carrier of L)
the L_meet of L . ((L,L9),L9) is M2( the carrier of L)
((L,L9) "\/" (L,x)) "/\" (L9 "/\" x) is M2( the carrier of L)
the L_meet of L . (((L,L9) "\/" (L,x)),(L9 "/\" x)) is M2( the carrier of L)
(L9 "/\" x) "/\" (L,L9) is M2( the carrier of L)
the L_meet of L . ((L9 "/\" x),(L,L9)) is M2( the carrier of L)
(L9 "/\" x) "/\" (L,x) is M2( the carrier of L)
the L_meet of L . ((L9 "/\" x),(L,x)) is M2( the carrier of L)
((L9 "/\" x) "/\" (L,L9)) "\/" ((L9 "/\" x) "/\" (L,x)) is M2( the carrier of L)
the L_join of L . (((L9 "/\" x) "/\" (L,L9)),((L9 "/\" x) "/\" (L,x))) is M2( the carrier of L)
L9 "/\" (L,L9) is M2( the carrier of L)
the L_meet of L . (L9,(L,L9)) is M2( the carrier of L)
x "/\" (L9 "/\" (L,L9)) is M2( the carrier of L)
the L_meet of L . (x,(L9 "/\" (L,L9))) is M2( the carrier of L)
(x "/\" (L9 "/\" (L,L9))) "\/" ((L9 "/\" x) "/\" (L,x)) is M2( the carrier of L)
the L_join of L . ((x "/\" (L9 "/\" (L,L9))),((L9 "/\" x) "/\" (L,x))) is M2( the carrier of L)
x "/\" (Bottom L) is M2( the carrier of L)
the L_meet of L . (x,(Bottom L)) is M2( the carrier of L)
x "/\" (L,x) is M2( the carrier of L)
the L_meet of L . (x,(L,x)) is M2( the carrier of L)
L9 "/\" (x "/\" (L,x)) is M2( the carrier of L)
the L_meet of L . (L9,(x "/\" (L,x))) is M2( the carrier of L)
(x "/\" (Bottom L)) "\/" (L9 "/\" (x "/\" (L,x))) is M2( the carrier of L)
the L_join of L . ((x "/\" (Bottom L)),(L9 "/\" (x "/\" (L,x)))) is M2( the carrier of L)
L9 "/\" (Bottom L) is M2( the carrier of L)
the L_meet of L . (L9,(Bottom L)) is M2( the carrier of L)
(Bottom L) "\/" (L9 "/\" (Bottom L)) is M2( the carrier of L)
the L_join of L . ((Bottom L),(L9 "/\" (Bottom L))) is M2( the carrier of L)
(Bottom L) "\/" (Bottom L) is M2( the carrier of L)
the L_join of L . ((Bottom L),(Bottom L)) is M2( the carrier of L)
((L,L9) "\/" (L,x)) "\/" (L9 "/\" x) is M2( the carrier of L)
the L_join of L . (((L,L9) "\/" (L,x)),(L9 "/\" x)) is M2( the carrier of L)
((L,L9) "\/" (L,x)) "\/" L9 is M2( the carrier of L)
the L_join of L . (((L,L9) "\/" (L,x)),L9) is M2( the carrier of L)
((L,L9) "\/" (L,x)) "\/" x is M2( the carrier of L)
the L_join of L . (((L,L9) "\/" (L,x)),x) is M2( the carrier of L)
(((L,L9) "\/" (L,x)) "\/" L9) "/\" (((L,L9) "\/" (L,x)) "\/" x) is M2( the carrier of L)
the L_meet of L . ((((L,L9) "\/" (L,x)) "\/" L9),(((L,L9) "\/" (L,x)) "\/" x)) is M2( the carrier of L)
(L,x) "\/" (L,L9) is M2( the carrier of L)
the L_join of L . ((L,x),(L,L9)) is M2( the carrier of L)
((L,x) "\/" (L,L9)) "\/" L9 is M2( the carrier of L)
the L_join of L . (((L,x) "\/" (L,L9)),L9) is M2( the carrier of L)
(((L,x) "\/" (L,L9)) "\/" L9) "/\" (Top L) is M2( the carrier of L)
the L_meet of L . ((((L,x) "\/" (L,L9)) "\/" L9),(Top L)) is M2( the carrier of L)
(Top L) "/\" (Top L) is M2( the carrier of L)
the L_meet of L . ((Top L),(Top L)) is M2( the carrier of L)
L is non empty ()
the carrier of L is V11() set
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K19(K20( the carrier of L, the carrier of L)) is set
L9 is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
( the carrier of L, the L_join of L,L9, the of L) is () ()
the carrier of ( the carrier of L, the L_join of L,L9, the of L) is set
the L_join of ( the carrier of L, the L_join of L,L9, the of L) is V1() V4(K20( the carrier of ( the carrier of L, the L_join of L,L9, the of L), the carrier of ( the carrier of L, the L_join of L,L9, the of L))) V5( the carrier of ( the carrier of L, the L_join of L,L9, the of L)) V6() V18(K20( the carrier of ( the carrier of L, the L_join of L,L9, the of L), the carrier of ( the carrier of L, the L_join of L,L9, the of L)), the carrier of ( the carrier of L, the L_join of L,L9, the of L)) M2(K19(K20(K20( the carrier of ( the carrier of L, the L_join of L,L9, the of L), the carrier of ( the carrier of L, the L_join of L,L9, the of L)), the carrier of ( the carrier of L, the L_join of L,L9, the of L))))
K20( the carrier of ( the carrier of L, the L_join of L,L9, the of L), the carrier of ( the carrier of L, the L_join of L,L9, the of L)) is set
K20(K20( the carrier of ( the carrier of L, the L_join of L,L9, the of L), the carrier of ( the carrier of L, the L_join of L,L9, the of L)), the carrier of ( the carrier of L, the L_join of L,L9, the of L)) is set
K19(K20(K20( the carrier of ( the carrier of L, the L_join of L,L9, the of L), the carrier of ( the carrier of L, the L_join of L,L9, the of L)), the carrier of ( the carrier of L, the L_join of L,L9, the of L))) is set
the of ( the carrier of L, the L_join of L,L9, the of L) is V1() V4( the carrier of ( the carrier of L, the L_join of L,L9, the of L)) V5( the carrier of ( the carrier of L, the L_join of L,L9, the of L)) V6() V18( the carrier of ( the carrier of L, the L_join of L,L9, the of L), the carrier of ( the carrier of L, the L_join of L,L9, the of L)) M2(K19(K20( the carrier of ( the carrier of L, the L_join of L,L9, the of L), the carrier of ( the carrier of L, the L_join of L,L9, the of L))))
K19(K20( the carrier of ( the carrier of L, the L_join of L,L9, the of L), the carrier of ( the carrier of L, the L_join of L,L9, the of L))) is set
the L_meet of ( the carrier of L, the L_join of L,L9, the of L) is V1() V4(K20( the carrier of ( the carrier of L, the L_join of L,L9, the of L), the carrier of ( the carrier of L, the L_join of L,L9, the of L))) V5( the carrier of ( the carrier of L, the L_join of L,L9, the of L)) V6() V18(K20( the carrier of ( the carrier of L, the L_join of L,L9, the of L), the carrier of ( the carrier of L, the L_join of L,L9, the of L)), the carrier of ( the carrier of L, the L_join of L,L9, the of L)) M2(K19(K20(K20( the carrier of ( the carrier of L, the L_join of L,L9, the of L), the carrier of ( the carrier of L, the L_join of L,L9, the of L)), the carrier of ( the carrier of L, the L_join of L,L9, the of L))))
x is M2( the carrier of L)
y is M2( the carrier of L)
the L_meet of ( the carrier of L, the L_join of L,L9, the of L) . (x,y) is set
(L,x,y) is M2( the carrier of L)
(L,x) is M2( the carrier of L)
the of L . x is M2( the carrier of L)
(L,y) is M2( the carrier of L)
the of L . y is M2( the carrier of L)
(L,x) "\/" (L,y) is M2( the carrier of L)
the L_join of L . ((L,x),(L,y)) is M2( the carrier of L)
(L,((L,x) "\/" (L,y))) is M2( the carrier of L)
the of L . ((L,x) "\/" (L,y)) is M2( the carrier of L)
L9 is () ()
the carrier of L9 is set
the L_join of L9 is V1() V4(K20( the carrier of L9, the carrier of L9)) V5( the carrier of L9) V6() V18(K20( the carrier of L9, the carrier of L9), the carrier of L9) M2(K19(K20(K20( the carrier of L9, the carrier of L9), the carrier of L9)))
K20( the carrier of L9, the carrier of L9) is set
K20(K20( the carrier of L9, the carrier of L9), the carrier of L9) is set
K19(K20(K20( the carrier of L9, the carrier of L9), the carrier of L9)) is set
the of L9 is V1() V4( the carrier of L9) V5( the carrier of L9) V6() V18( the carrier of L9, the carrier of L9) M2(K19(K20( the carrier of L9, the carrier of L9)))
K19(K20( the carrier of L9, the carrier of L9)) is set
the L_meet of L9 is V1() V4(K20( the carrier of L9, the carrier of L9)) V5( the carrier of L9) V6() V18(K20( the carrier of L9, the carrier of L9), the carrier of L9) M2(K19(K20(K20( the carrier of L9, the carrier of L9), the carrier of L9)))
x is () ()
the carrier of x is set
the L_join of x is V1() V4(K20( the carrier of x, the carrier of x)) V5( the carrier of x) V6() V18(K20( the carrier of x, the carrier of x), the carrier of x) M2(K19(K20(K20( the carrier of x, the carrier of x), the carrier of x)))
K20( the carrier of x, the carrier of x) is set
K20(K20( the carrier of x, the carrier of x), the carrier of x) is set
K19(K20(K20( the carrier of x, the carrier of x), the carrier of x)) is set
the of x is V1() V4( the carrier of x) V5( the carrier of x) V6() V18( the carrier of x, the carrier of x) M2(K19(K20( the carrier of x, the carrier of x)))
K19(K20( the carrier of x, the carrier of x)) is set
the L_meet of x is V1() V4(K20( the carrier of x, the carrier of x)) V5( the carrier of x) V6() V18(K20( the carrier of x, the carrier of x), the carrier of x) M2(K19(K20(K20( the carrier of x, the carrier of x), the carrier of x)))
y is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
a9 is M2( the carrier of L)
l is M2( the carrier of L)
y . (a9,l) is M2( the carrier of L)
(L,a9,l) is M2( the carrier of L)
(L,a9) is M2( the carrier of L)
the of L . a9 is M2( the carrier of L)
(L,l) is M2( the carrier of L)
the of L . l is M2( the carrier of L)
(L,a9) "\/" (L,l) is M2( the carrier of L)
the L_join of L . ((L,a9),(L,l)) is M2( the carrier of L)
(L,((L,a9) "\/" (L,l))) is M2( the carrier of L)
the of L . ((L,a9) "\/" (L,l)) is M2( the carrier of L)
c is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
c . (a9,l) is M2( the carrier of L)
L is non empty ()
(L) is () ()
the carrier of (L) is set
the carrier of L is V11() set
L is non empty join-commutative ()
(L) is non empty () ()
the carrier of (L) is V11() set
L9 is M2( the carrier of (L))
x is M2( the carrier of (L))
L9 "\/" x is M2( the carrier of (L))
the L_join of (L) is V1() V4(K20( the carrier of (L), the carrier of (L))) V5( the carrier of (L)) V6() V18(K20( the carrier of (L), the carrier of (L)), the carrier of (L)) M2(K19(K20(K20( the carrier of (L), the carrier of (L)), the carrier of (L))))
K20( the carrier of (L), the carrier of (L)) is set
K20(K20( the carrier of (L), the carrier of (L)), the carrier of (L)) is set
K19(K20(K20( the carrier of (L), the carrier of (L)), the carrier of (L))) is set
the L_join of (L) . (L9,x) is M2( the carrier of (L))
x "\/" L9 is M2( the carrier of (L))
the L_join of (L) . (x,L9) is M2( the carrier of (L))
the carrier of L is V11() set
K20( the carrier of L, the carrier of L) is set
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
L is non empty join-associative ()
(L) is non empty () ()
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
the carrier of L is V11() set
K20( the carrier of L, the carrier of L) is set
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of (L) is V1() V4(K20( the carrier of (L), the carrier of (L))) V5( the carrier of (L)) V6() V18(K20( the carrier of (L), the carrier of (L)), the carrier of (L)) M2(K19(K20(K20( the carrier of (L), the carrier of (L)), the carrier of (L))))
the carrier of (L) is V11() set
K20( the carrier of (L), the carrier of (L)) is set
K20(K20( the carrier of (L), the carrier of (L)), the carrier of (L)) is set
K19(K20(K20( the carrier of (L), the carrier of (L)), the carrier of (L))) is set
y is M2( the carrier of (L))
c is M2( the carrier of (L))
a9 is M2( the carrier of (L))
c "\/" a9 is M2( the carrier of (L))
the L_join of (L) . (c,a9) is M2( the carrier of (L))
y "\/" (c "\/" a9) is M2( the carrier of (L))
the L_join of (L) . (y,(c "\/" a9)) is M2( the carrier of (L))
y "\/" c is M2( the carrier of (L))
the L_join of (L) . (y,c) is M2( the carrier of (L))
(y "\/" c) "\/" a9 is M2( the carrier of (L))
the L_join of (L) . ((y "\/" c),a9) is M2( the carrier of (L))
L is non empty join-commutative join-associative ()
(L) is non empty join-commutative join-associative () ()
the carrier of (L) is V11() set
L9 is M2( the carrier of (L))
x is M2( the carrier of (L))
L9 "/\" x is M2( the carrier of (L))
the L_meet of (L) is V1() V4(K20( the carrier of (L), the carrier of (L))) V5( the carrier of (L)) V6() V18(K20( the carrier of (L), the carrier of (L)), the carrier of (L)) M2(K19(K20(K20( the carrier of (L), the carrier of (L)), the carrier of (L))))
K20( the carrier of (L), the carrier of (L)) is set
K20(K20( the carrier of (L), the carrier of (L)), the carrier of (L)) is set
K19(K20(K20( the carrier of (L), the carrier of (L)), the carrier of (L))) is set
the L_meet of (L) . (L9,x) is M2( the carrier of (L))
x "/\" L9 is M2( the carrier of (L))
the L_meet of (L) . (x,L9) is M2( the carrier of (L))
the carrier of L is V11() set
c is M2( the carrier of L)
y is M2( the carrier of L)
(L,c,y) is M2( the carrier of L)
(L,c) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . c is M2( the carrier of L)
(L,y) is M2( the carrier of L)
the of L . y is M2( the carrier of L)
(L,c) "\/" (L,y) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,c),(L,y)) is M2( the carrier of L)
(L,((L,c) "\/" (L,y))) is M2( the carrier of L)
the of L . ((L,c) "\/" (L,y)) is M2( the carrier of L)
L is non empty ()
the carrier of L is V11() set
(L) is non empty () ()
the carrier of (L) is V11() set
L9 is M2( the carrier of L)
y is M2( the carrier of (L))
x is M2( the carrier of L)
c is M2( the carrier of (L))
(L,L9,x) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,x) is M2( the carrier of L)
the of L . x is M2( the carrier of L)
(L,L9) "\/" (L,x) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,L9),(L,x)) is M2( the carrier of L)
(L,((L,L9) "\/" (L,x))) is M2( the carrier of L)
the of L . ((L,L9) "\/" (L,x)) is M2( the carrier of L)
y "/\" c is M2( the carrier of (L))
the L_meet of (L) is V1() V4(K20( the carrier of (L), the carrier of (L))) V5( the carrier of (L)) V6() V18(K20( the carrier of (L), the carrier of (L)), the carrier of (L)) M2(K19(K20(K20( the carrier of (L), the carrier of (L)), the carrier of (L))))
K20( the carrier of (L), the carrier of (L)) is set
K20(K20( the carrier of (L), the carrier of (L)), the carrier of (L)) is set
K19(K20(K20( the carrier of (L), the carrier of (L)), the carrier of (L))) is set
the L_meet of (L) . (y,c) is M2( the carrier of (L))
L9 "\/" x is M2( the carrier of L)
the L_join of L . (L9,x) is M2( the carrier of L)
y "\/" c is M2( the carrier of (L))
the L_join of (L) is V1() V4(K20( the carrier of (L), the carrier of (L))) V5( the carrier of (L)) V6() V18(K20( the carrier of (L), the carrier of (L)), the carrier of (L)) M2(K19(K20(K20( the carrier of (L), the carrier of (L)), the carrier of (L))))
the L_join of (L) . (y,c) is M2( the carrier of (L))
((L),y) is M2( the carrier of (L))
the of (L) is V1() V4( the carrier of (L)) V5( the carrier of (L)) V6() V18( the carrier of (L), the carrier of (L)) M2(K19(K20( the carrier of (L), the carrier of (L))))
K19(K20( the carrier of (L), the carrier of (L))) is set
the of (L) . y is M2( the carrier of (L))
L is non empty join-commutative join-associative upper-bounded () () ()
(L) is non empty join-commutative join-associative meet-commutative () ()
the carrier of (L) is V11() set
the carrier of L is V11() set
L9 is M2( the carrier of (L))
x is M2( the carrier of (L))
y is M2( the carrier of (L))
a9 is M2( the carrier of L)
l is M2( the carrier of L)
(L,a9,l) is M2( the carrier of L)
(L,a9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . a9 is M2( the carrier of L)
(L,l) is M2( the carrier of L)
the of L . l is M2( the carrier of L)
(L,a9) "\/" (L,l) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,a9),(L,l)) is M2( the carrier of L)
(L,((L,a9) "\/" (L,l))) is M2( the carrier of L)
the of L . ((L,a9) "\/" (L,l)) is M2( the carrier of L)
x "/\" y is M2( the carrier of (L))
the L_meet of (L) is V1() V4(K20( the carrier of (L), the carrier of (L))) V5( the carrier of (L)) V6() V18(K20( the carrier of (L), the carrier of (L)), the carrier of (L)) commutative M2(K19(K20(K20( the carrier of (L), the carrier of (L)), the carrier of (L))))
K20( the carrier of (L), the carrier of (L)) is set
K20(K20( the carrier of (L), the carrier of (L)), the carrier of (L)) is set
K19(K20(K20( the carrier of (L), the carrier of (L)), the carrier of (L))) is set
the L_meet of (L) . (x,y) is M2( the carrier of (L))
c is M2( the carrier of L)
(L,c,a9) is M2( the carrier of L)
(L,c) is M2( the carrier of L)
the of L . c is M2( the carrier of L)
(L,c) "\/" (L,a9) is M2( the carrier of L)
the L_join of L . ((L,c),(L,a9)) is M2( the carrier of L)
(L,((L,c) "\/" (L,a9))) is M2( the carrier of L)
the of L . ((L,c) "\/" (L,a9)) is M2( the carrier of L)
L9 "/\" x is M2( the carrier of (L))
the L_meet of (L) . (L9,x) is M2( the carrier of (L))
(L9 "/\" x) "/\" y is M2( the carrier of (L))
the L_meet of (L) . ((L9 "/\" x),y) is M2( the carrier of (L))
(L,(L,c,a9),l) is M2( the carrier of L)
(L,(L,c,a9)) is M2( the carrier of L)
the of L . (L,c,a9) is M2( the carrier of L)
(L,(L,c,a9)) "\/" (L,l) is M2( the carrier of L)
the L_join of L . ((L,(L,c,a9)),(L,l)) is M2( the carrier of L)
(L,((L,(L,c,a9)) "\/" (L,l))) is M2( the carrier of L)
the of L . ((L,(L,c,a9)) "\/" (L,l)) is M2( the carrier of L)
(L,c,(L,a9,l)) is M2( the carrier of L)
(L,(L,a9,l)) is M2( the carrier of L)
the of L . (L,a9,l) is M2( the carrier of L)
(L,c) "\/" (L,(L,a9,l)) is M2( the carrier of L)
the L_join of L . ((L,c),(L,(L,a9,l))) is M2( the carrier of L)
(L,((L,c) "\/" (L,(L,a9,l)))) is M2( the carrier of L)
the of L . ((L,c) "\/" (L,(L,a9,l))) is M2( the carrier of L)
L9 "/\" (x "/\" y) is M2( the carrier of (L))
the L_meet of (L) . (L9,(x "/\" y)) is M2( the carrier of (L))
L9 is M2( the carrier of (L))
x is M2( the carrier of (L))
y is M2( the carrier of L)
c is M2( the carrier of L)
(L,y,c) is M2( the carrier of L)
the L_join of L . (y,c) is M2( the carrier of L)
L9 "\/" x is M2( the carrier of (L))
the L_join of (L) is V1() V4(K20( the carrier of (L), the carrier of (L))) V5( the carrier of (L)) V6() V18(K20( the carrier of (L), the carrier of (L)), the carrier of (L)) commutative associative M2(K19(K20(K20( the carrier of (L), the carrier of (L)), the carrier of (L))))
the L_join of (L) . (L9,x) is M2( the carrier of (L))
L9 "/\" (L9 "\/" x) is M2( the carrier of (L))
the L_meet of (L) . (L9,(L9 "\/" x)) is M2( the carrier of (L))
(L,y,(L,y,c)) is M2( the carrier of L)
(L,y) is M2( the carrier of L)
the of L . y is M2( the carrier of L)
(L,(L,y,c)) is M2( the carrier of L)
the of L . (L,y,c) is M2( the carrier of L)
(L,y) "\/" (L,(L,y,c)) is M2( the carrier of L)
the L_join of L . ((L,y),(L,(L,y,c))) is M2( the carrier of L)
(L,((L,y) "\/" (L,(L,y,c)))) is M2( the carrier of L)
the of L . ((L,y) "\/" (L,(L,y,c))) is M2( the carrier of L)
L9 is M2( the carrier of (L))
x is M2( the carrier of (L))
L9 "/\" x is M2( the carrier of (L))
the L_meet of (L) . (L9,x) is M2( the carrier of (L))
(L9 "/\" x) "\/" x is M2( the carrier of (L))
the L_join of (L) . ((L9 "/\" x),x) is M2( the carrier of (L))
y is M2( the carrier of L)
c is M2( the carrier of L)
(L,y,c) is M2( the carrier of L)
(L,y) is M2( the carrier of L)
the of L . y is M2( the carrier of L)
(L,c) is M2( the carrier of L)
the of L . c is M2( the carrier of L)
(L,y) "\/" (L,c) is M2( the carrier of L)
the L_join of L . ((L,y),(L,c)) is M2( the carrier of L)
(L,((L,y) "\/" (L,c))) is M2( the carrier of L)
the of L . ((L,y) "\/" (L,c)) is M2( the carrier of L)
L9 "/\" x is M2( the carrier of (L))
(L9 "/\" x) "\/" x is M2( the carrier of (L))
the L_join of (L) . ((L9 "/\" x),x) is M2( the carrier of (L))
(L,(L,y,c),c) is M2( the carrier of L)
the L_join of L . ((L,y,c),c) is M2( the carrier of L)
L is non empty () ()
(L) is non empty () ()
the carrier of (L) is V11() set
L9 is M2( the carrier of (L))
((L),L9) is M2( the carrier of (L))
the of (L) is V1() V4( the carrier of (L)) V5( the carrier of (L)) V6() V18( the carrier of (L), the carrier of (L)) M2(K19(K20( the carrier of (L), the carrier of (L))))
K20( the carrier of (L), the carrier of (L)) is set
K19(K20( the carrier of (L), the carrier of (L))) is set
the of (L) . L9 is M2( the carrier of (L))
x is M2( the carrier of (L))
((L),x) is M2( the carrier of (L))
the of (L) . x is M2( the carrier of (L))
((L),L9) "\/" ((L),x) is M2( the carrier of (L))
the L_join of (L) is V1() V4(K20( the carrier of (L), the carrier of (L))) V5( the carrier of (L)) V6() V18(K20( the carrier of (L), the carrier of (L)), the carrier of (L)) M2(K19(K20(K20( the carrier of (L), the carrier of (L)), the carrier of (L))))
K20(K20( the carrier of (L), the carrier of (L)), the carrier of (L)) is set
K19(K20(K20( the carrier of (L), the carrier of (L)), the carrier of (L))) is set
the L_join of (L) . (((L),L9),((L),x)) is M2( the carrier of (L))
((L),(((L),L9) "\/" ((L),x))) is M2( the carrier of (L))
the of (L) . (((L),L9) "\/" ((L),x)) is M2( the carrier of (L))
((L),L9) "\/" x is M2( the carrier of (L))
the L_join of (L) . (((L),L9),x) is M2( the carrier of (L))
((L),(((L),L9) "\/" x)) is M2( the carrier of (L))
the of (L) . (((L),L9) "\/" x) is M2( the carrier of (L))
((L),(((L),L9) "\/" ((L),x))) "\/" ((L),(((L),L9) "\/" x)) is M2( the carrier of (L))
the L_join of (L) . (((L),(((L),L9) "\/" ((L),x))),((L),(((L),L9) "\/" x))) is M2( the carrier of (L))
the carrier of L is V11() set
y is M2( the carrier of L)
(L,y) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . y is M2( the carrier of L)
c is M2( the carrier of L)
(L,c) is M2( the carrier of L)
the of L . c is M2( the carrier of L)
(L,y) "\/" (L,c) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,y),(L,c)) is M2( the carrier of L)
(L,((L,y) "\/" (L,c))) is M2( the carrier of L)
the of L . ((L,y) "\/" (L,c)) is M2( the carrier of L)
(L,y) "\/" c is M2( the carrier of L)
the L_join of L . ((L,y),c) is M2( the carrier of L)
(L,((L,y) "\/" c)) is M2( the carrier of L)
the of L . ((L,y) "\/" c) is M2( the carrier of L)
(L,((L,y) "\/" (L,c))) "\/" (L,((L,y) "\/" c)) is M2( the carrier of L)
the L_join of L . ((L,((L,y) "\/" (L,c))),(L,((L,y) "\/" c))) is M2( the carrier of L)
L is non empty join-commutative join-associative upper-bounded () () ()
(L) is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like upper-bounded () () () ()
(L) is M2( the carrier of L)
the carrier of L is V11() set
the carrier of (L) is V11() set
x is M2( the carrier of (L))
y is M2( the carrier of (L))
x "/\" y is M2( the carrier of (L))
the L_meet of (L) is V1() V4(K20( the carrier of (L), the carrier of (L))) V5( the carrier of (L)) V6() V18(K20( the carrier of (L), the carrier of (L)), the carrier of (L)) commutative associative idempotent M2(K19(K20(K20( the carrier of (L), the carrier of (L)), the carrier of (L))))
K20( the carrier of (L), the carrier of (L)) is set
K20(K20( the carrier of (L), the carrier of (L)), the carrier of (L)) is set
K19(K20(K20( the carrier of (L), the carrier of (L)), the carrier of (L))) is set
the L_meet of (L) . (x,y) is M2( the carrier of (L))
y "/\" x is M2( the carrier of (L))
the L_meet of (L) . (y,x) is M2( the carrier of (L))
x "/\" y is M2( the carrier of (L))
c is M2( the carrier of L)
(L,(L),c) is M2( the carrier of L)
(L,(L)) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . (L) is M2( the carrier of L)
(L,c) is M2( the carrier of L)
the of L . c is M2( the carrier of L)
(L,(L)) "\/" (L,c) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,(L)),(L,c)) is M2( the carrier of L)
(L,((L,(L)) "\/" (L,c))) is M2( the carrier of L)
the of L . ((L,(L)) "\/" (L,c)) is M2( the carrier of L)
y "/\" x is M2( the carrier of (L))
L is non empty join-commutative join-associative upper-bounded () () ()
(L) is M2( the carrier of L)
the carrier of L is V11() set
(L) is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like lower-bounded upper-bounded bounded () () () ()
Bottom (L) is M2( the carrier of (L))
the carrier of (L) is V11() set
L9 is M2( the carrier of (L))
x is M2( the carrier of (L))
L9 "/\" x is M2( the carrier of (L))
the L_meet of (L) is V1() V4(K20( the carrier of (L), the carrier of (L))) V5( the carrier of (L)) V6() V18(K20( the carrier of (L), the carrier of (L)), the carrier of (L)) commutative associative idempotent M2(K19(K20(K20( the carrier of (L), the carrier of (L)), the carrier of (L))))
K20( the carrier of (L), the carrier of (L)) is set
K20(K20( the carrier of (L), the carrier of (L)), the carrier of (L)) is set
K19(K20(K20( the carrier of (L), the carrier of (L)), the carrier of (L))) is set
the L_meet of (L) . (L9,x) is M2( the carrier of (L))
x "/\" L9 is M2( the carrier of (L))
the L_meet of (L) . (x,L9) is M2( the carrier of (L))
y is M2( the carrier of L)
(L,(L),y) is M2( the carrier of L)
(L,(L)) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . (L) is M2( the carrier of L)
(L,y) is M2( the carrier of L)
the of L . y is M2( the carrier of L)
(L,(L)) "\/" (L,y) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,(L)),(L,y)) is M2( the carrier of L)
(L,((L,(L)) "\/" (L,y))) is M2( the carrier of L)
the of L . ((L,(L)) "\/" (L,y)) is M2( the carrier of L)
L is non empty join-commutative join-associative upper-bounded () () ()
(L) is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like lower-bounded upper-bounded bounded () () () ()
the carrier of (L) is V11() set
L9 is M2( the carrier of (L))
((L),L9) is M2( the carrier of (L))
the of (L) is V1() V4( the carrier of (L)) V5( the carrier of (L)) V6() V18( the carrier of (L), the carrier of (L)) M2(K19(K20( the carrier of (L), the carrier of (L))))
K20( the carrier of (L), the carrier of (L)) is set
K19(K20( the carrier of (L), the carrier of (L))) is set
the of (L) . L9 is M2( the carrier of (L))
x is M2( the carrier of (L))
the carrier of L is V11() set
((L),x,L9) is M2( the carrier of (L))
the L_join of (L) is V1() V4(K20( the carrier of (L), the carrier of (L))) V5( the carrier of (L)) V6() V18(K20( the carrier of (L), the carrier of (L)), the carrier of (L)) commutative associative idempotent M2(K19(K20(K20( the carrier of (L), the carrier of (L)), the carrier of (L))))
K20(K20( the carrier of (L), the carrier of (L)), the carrier of (L)) is set
K19(K20(K20( the carrier of (L), the carrier of (L)), the carrier of (L))) is set
the L_join of (L) . (x,L9) is M2( the carrier of (L))
Top (L) is M2( the carrier of (L))
L9 "\/" x is M2( the carrier of (L))
the L_join of (L) . (L9,x) is M2( the carrier of (L))
x "/\" L9 is M2( the carrier of (L))
the L_meet of (L) is V1() V4(K20( the carrier of (L), the carrier of (L))) V5( the carrier of (L)) V6() V18(K20( the carrier of (L), the carrier of (L)), the carrier of (L)) commutative associative idempotent M2(K19(K20(K20( the carrier of (L), the carrier of (L)), the carrier of (L))))
the L_meet of (L) . (x,L9) is M2( the carrier of (L))
Bottom (L) is M2( the carrier of (L))
L9 "/\" x is M2( the carrier of (L))
the L_meet of (L) . (L9,x) is M2( the carrier of (L))
((L),L9,x) is M2( the carrier of (L))
y is M2( the carrier of L)
(L,y) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . y is M2( the carrier of L)
((L),x) is M2( the carrier of (L))
the of (L) . x is M2( the carrier of (L))
c is M2( the carrier of L)
x "/\" L9 is M2( the carrier of (L))
(L,y,c) is M2( the carrier of L)
(L,c) is M2( the carrier of L)
the of L . c is M2( the carrier of L)
(L,y) "\/" (L,c) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,y),(L,c)) is M2( the carrier of L)
(L,((L,y) "\/" (L,c))) is M2( the carrier of L)
the of L . ((L,y) "\/" (L,c)) is M2( the carrier of L)
(L) is M2( the carrier of L)
L9 "/\" x is M2( the carrier of (L))
the carrier of (L) is V11() set
the carrier of L is V11() set
L9 is M2( the carrier of (L))
x is M2( the carrier of (L))
y is M2( the carrier of (L))
L9 "/\" x is M2( the carrier of (L))
the L_meet of (L) is V1() V4(K20( the carrier of (L), the carrier of (L))) V5( the carrier of (L)) V6() V18(K20( the carrier of (L), the carrier of (L)), the carrier of (L)) commutative associative idempotent M2(K19(K20(K20( the carrier of (L), the carrier of (L)), the carrier of (L))))
K20( the carrier of (L), the carrier of (L)) is set
K20(K20( the carrier of (L), the carrier of (L)), the carrier of (L)) is set
K19(K20(K20( the carrier of (L), the carrier of (L)), the carrier of (L))) is set
the L_meet of (L) . (L9,x) is M2( the carrier of (L))
c is M2( the carrier of L)
a9 is M2( the carrier of L)
(L,c,a9) is M2( the carrier of L)
(L,c) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . c is M2( the carrier of L)
(L,a9) is M2( the carrier of L)
the of L . a9 is M2( the carrier of L)
(L,c) "\/" (L,a9) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,c),(L,a9)) is M2( the carrier of L)
(L,((L,c) "\/" (L,a9))) is M2( the carrier of L)
the of L . ((L,c) "\/" (L,a9)) is M2( the carrier of L)
L9 "/\" y is M2( the carrier of (L))
the L_meet of (L) . (L9,y) is M2( the carrier of (L))
l is M2( the carrier of L)
(L,c,l) is M2( the carrier of L)
(L,l) is M2( the carrier of L)
the of L . l is M2( the carrier of L)
(L,c) "\/" (L,l) is M2( the carrier of L)
the L_join of L . ((L,c),(L,l)) is M2( the carrier of L)
(L,((L,c) "\/" (L,l))) is M2( the carrier of L)
the of L . ((L,c) "\/" (L,l)) is M2( the carrier of L)
(L,a9,l) is M2( the carrier of L)
the L_join of L . (a9,l) is M2( the carrier of L)
x "\/" y is M2( the carrier of (L))
the L_join of (L) is V1() V4(K20( the carrier of (L), the carrier of (L))) V5( the carrier of (L)) V6() V18(K20( the carrier of (L), the carrier of (L)), the carrier of (L)) commutative associative idempotent M2(K19(K20(K20( the carrier of (L), the carrier of (L)), the carrier of (L))))
the L_join of (L) . (x,y) is M2( the carrier of (L))
L9 "/\" (x "\/" y) is M2( the carrier of (L))
the L_meet of (L) . (L9,(x "\/" y)) is M2( the carrier of (L))
(L,c,(L,a9,l)) is M2( the carrier of L)
(L,(L,a9,l)) is M2( the carrier of L)
the of L . (L,a9,l) is M2( the carrier of L)
(L,c) "\/" (L,(L,a9,l)) is M2( the carrier of L)
the L_join of L . ((L,c),(L,(L,a9,l))) is M2( the carrier of L)
(L,((L,c) "\/" (L,(L,a9,l)))) is M2( the carrier of L)
the of L . ((L,c) "\/" (L,(L,a9,l))) is M2( the carrier of L)
(L,(L,c,a9),(L,c,l)) is M2( the carrier of L)
the L_join of L . ((L,c,a9),(L,c,l)) is M2( the carrier of L)
(L9 "/\" x) "\/" (L9 "/\" y) is M2( the carrier of (L))
the L_join of (L) . ((L9 "/\" x),(L9 "/\" y)) is M2( the carrier of (L))
L is non empty ()
the carrier of L is V11() set
L is non empty join-commutative ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
x is M2( the carrier of L)
(L,x) is M2( the carrier of L)
the of L . x is M2( the carrier of L)
(L,(L,L9),(L,x)) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,L9),(L,x)) is M2( the carrier of L)
(L,(L,(L,L9),(L,x))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,x)) is M2( the carrier of L)
(L,L9,(L,x)) is M2( the carrier of L)
the L_join of L . (L9,(L,x)) is M2( the carrier of L)
(L,(L,L9,(L,x))) is M2( the carrier of L)
the of L . (L,L9,(L,x)) is M2( the carrier of L)
(L,(L,(L,(L,L9),(L,x))),(L,(L,L9,(L,x)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,x))),(L,(L,L9,(L,x)))) is M2( the carrier of L)
L9 is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
x is M2( the carrier of L)
(L,x) is M2( the carrier of L)
the of L . x is M2( the carrier of L)
(L,L9) "\/" (L,x) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,L9),(L,x)) is M2( the carrier of L)
(L,((L,L9) "\/" (L,x))) is M2( the carrier of L)
the of L . ((L,L9) "\/" (L,x)) is M2( the carrier of L)
(L,L9) "\/" x is M2( the carrier of L)
the L_join of L . ((L,L9),x) is M2( the carrier of L)
(L,((L,L9) "\/" x)) is M2( the carrier of L)
the of L . ((L,L9) "\/" x) is M2( the carrier of L)
(L,((L,L9) "\/" (L,x))) "\/" (L,((L,L9) "\/" x)) is M2( the carrier of L)
the L_join of L . ((L,((L,L9) "\/" (L,x))),(L,((L,L9) "\/" x))) is M2( the carrier of L)
(L,(L,L9),(L,x)) is M2( the carrier of L)
(L,(L,(L,L9),(L,x))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,x)) is M2( the carrier of L)
(L,(L,L9),x) is M2( the carrier of L)
(L,(L,(L,L9),x)) is M2( the carrier of L)
the of L . (L,(L,L9),x) is M2( the carrier of L)
(L,(L,(L,(L,L9),(L,x))),(L,(L,(L,L9),x))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,x))),(L,(L,(L,L9),x))) is M2( the carrier of L)
L is non empty ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
x is M2( the carrier of L)
(L,L9) "\/" x is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,L9),x) is M2( the carrier of L)
(L,((L,L9) "\/" x)) is M2( the carrier of L)
the of L . ((L,L9) "\/" x) is M2( the carrier of L)
L is non empty ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
x is M2( the carrier of L)
L9 "\/" x is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . (L9,x) is M2( the carrier of L)
(L,L9,x) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,L9) "\/" x is M2( the carrier of L)
the L_join of L . ((L,L9),x) is M2( the carrier of L)
(L,((L,L9) "\/" x)) is M2( the carrier of L)
the of L . ((L,L9) "\/" x) is M2( the carrier of L)
(L,(L9 "\/" x),(L,L9,x)) is M2( the carrier of L)
(L,(L9 "\/" x)) is M2( the carrier of L)
the of L . (L9 "\/" x) is M2( the carrier of L)
(L,(L9 "\/" x)) "\/" (L,L9,x) is M2( the carrier of L)
the L_join of L . ((L,(L9 "\/" x)),(L,L9,x)) is M2( the carrier of L)
(L,((L,(L9 "\/" x)) "\/" (L,L9,x))) is M2( the carrier of L)
the of L . ((L,(L9 "\/" x)) "\/" (L,L9,x)) is M2( the carrier of L)
L is non empty ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,L9) "\/" L9 is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,((L,L9) "\/" L9)) is M2( the carrier of L)
the of L . ((L,L9) "\/" L9) is M2( the carrier of L)
L9 "\/" L9 is M2( the carrier of L)
the L_join of L . (L9,L9) is M2( the carrier of L)
L is non empty ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,L9) "\/" L9 is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,((L,L9) "\/" L9)) is M2( the carrier of L)
the of L . ((L,L9) "\/" L9) is M2( the carrier of L)
(L,L9) "\/" L9 is M2( the carrier of L)
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
L9 "\/" L9 is M2( the carrier of L)
the L_join of L . (L9,L9) is M2( the carrier of L)
(L,L9) "\/" (L,L9) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,L9)) is M2( the carrier of L)
(L,L9) "\/" L9 is M2( the carrier of L)
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,L9) "\/" ((L,L9) "\/" L9) is M2( the carrier of L)
the L_join of L . ((L,L9),((L,L9) "\/" L9)) is M2( the carrier of L)
(L,L9) "\/" (L,L9) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,L9)) is M2( the carrier of L)
(L,L9) "\/" ((L,L9) "\/" (L,L9)) is M2( the carrier of L)
the L_join of L . ((L,L9),((L,L9) "\/" (L,L9))) is M2( the carrier of L)
L is non empty join-commutative join-associative () ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
x is M2( the carrier of L)
(L,L9,x) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . (L9,x) is M2( the carrier of L)
(L,L9,x) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,L9) "\/" x is M2( the carrier of L)
the L_join of L . ((L,L9),x) is M2( the carrier of L)
(L,((L,L9) "\/" x)) is M2( the carrier of L)
the of L . ((L,L9) "\/" x) is M2( the carrier of L)
(L,(L,L9,x),(L,L9,x)) is M2( the carrier of L)
(L,(L,L9,x)) is M2( the carrier of L)
the of L . (L,L9,x) is M2( the carrier of L)
(L,(L,L9,x)) "\/" (L,L9,x) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,x)),(L,L9,x)) is M2( the carrier of L)
(L,((L,(L,L9,x)) "\/" (L,L9,x))) is M2( the carrier of L)
the of L . ((L,(L,L9,x)) "\/" (L,L9,x)) is M2( the carrier of L)
(L,(L,L9),x) is M2( the carrier of L)
(L,(L,(L,L9),x)) is M2( the carrier of L)
the of L . (L,(L,L9),x) is M2( the carrier of L)
(L,(L,(L,L9,x)),(L,(L,(L,L9),x))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,x)),(L,(L,(L,L9),x))) is M2( the carrier of L)
(L,(L,(L,(L,L9,x)),(L,(L,(L,L9),x)))) is M2( the carrier of L)
the of L . (L,(L,(L,L9,x)),(L,(L,(L,L9),x))) is M2( the carrier of L)
L is non empty join-commutative join-associative () ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
x is M2( the carrier of L)
(L,L9,x) is M2( the carrier of L)
L9 "\/" x is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . (L9,x) is M2( the carrier of L)
(L,L9,x) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,L9) "\/" x is M2( the carrier of L)
the L_join of L . ((L,L9),x) is M2( the carrier of L)
(L,((L,L9) "\/" x)) is M2( the carrier of L)
the of L . ((L,L9) "\/" x) is M2( the carrier of L)
(L,(L9 "\/" x),(L,L9,x)) is M2( the carrier of L)
(L,(L9 "\/" x)) is M2( the carrier of L)
the of L . (L9 "\/" x) is M2( the carrier of L)
(L,(L9 "\/" x)) "\/" (L,L9,x) is M2( the carrier of L)
the L_join of L . ((L,(L9 "\/" x)),(L,L9,x)) is M2( the carrier of L)
(L,((L,(L9 "\/" x)) "\/" (L,L9,x))) is M2( the carrier of L)
the of L . ((L,(L9 "\/" x)) "\/" (L,L9,x)) is M2( the carrier of L)
L is non empty join-commutative join-associative () ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
x is M2( the carrier of L)
(L,(L,L9),x) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,L9),x) is M2( the carrier of L)
y is M2( the carrier of L)
(L,(L,(L,L9),x),y) is M2( the carrier of L)
(L,(L,(L,L9),x)) is M2( the carrier of L)
the of L . (L,(L,L9),x) is M2( the carrier of L)
(L,(L,(L,L9),x)) "\/" y is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),x)),y) is M2( the carrier of L)
(L,((L,(L,(L,L9),x)) "\/" y)) is M2( the carrier of L)
the of L . ((L,(L,(L,L9),x)) "\/" y) is M2( the carrier of L)
(L,L9,x) is M2( the carrier of L)
(L,L9) "\/" x is M2( the carrier of L)
(L,((L,L9) "\/" x)) is M2( the carrier of L)
the of L . ((L,L9) "\/" x) is M2( the carrier of L)
(L,(L,L9,x),y) is M2( the carrier of L)
the L_join of L . ((L,L9,x),y) is M2( the carrier of L)
(L,(L,(L,L9,x),y)) is M2( the carrier of L)
the of L . (L,(L,L9,x),y) is M2( the carrier of L)
L is non empty join-commutative join-associative () ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
(L,L9,L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,L9) "\/" L9 is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,((L,L9) "\/" L9)) is M2( the carrier of L)
the of L . ((L,L9) "\/" L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
L is non empty join-commutative join-associative () ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
L9 "\/" L9 is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . (L9,L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,L9) "\/" L9 is M2( the carrier of L)
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,((L,L9) "\/" L9)) is M2( the carrier of L)
the of L . ((L,L9) "\/" L9) is M2( the carrier of L)
(L,(L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,L9)) is M2( the carrier of L)
the of L . (L,L9) is M2( the carrier of L)
(L,(L,L9)) "\/" (L,L9) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,L9)) is M2( the carrier of L)
(L,((L,(L,L9)) "\/" (L,L9))) is M2( the carrier of L)
the of L . ((L,(L,L9)) "\/" (L,L9)) is M2( the carrier of L)
(L,L9,L9) is M2( the carrier of L)
(L,L9,L9) is M2( the carrier of L)
(L,(L9 "\/" L9),(L,L9,L9)) is M2( the carrier of L)
(L,(L9 "\/" L9)) is M2( the carrier of L)
the of L . (L9 "\/" L9) is M2( the carrier of L)
(L,(L9 "\/" L9)) "\/" (L,L9,L9) is M2( the carrier of L)
the L_join of L . ((L,(L9 "\/" L9)),(L,L9,L9)) is M2( the carrier of L)
(L,((L,(L9 "\/" L9)) "\/" (L,L9,L9))) is M2( the carrier of L)
the of L . ((L,(L9 "\/" L9)) "\/" (L,L9,L9)) is M2( the carrier of L)
L is non empty join-commutative join-associative () ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,L9) "\/" L9 is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,((L,L9) "\/" L9)) is M2( the carrier of L)
the of L . ((L,L9) "\/" L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
L9 "\/" L9 is M2( the carrier of L)
the L_join of L . (L9,L9) is M2( the carrier of L)
(L,L9) "\/" (L,L9) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,L9),L9) is M2( the carrier of L)
(L,(L,L9)) is M2( the carrier of L)
the of L . (L,L9) is M2( the carrier of L)
(L,(L,L9)) "\/" L9 is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),L9) is M2( the carrier of L)
(L,((L,(L,L9)) "\/" L9)) is M2( the carrier of L)
the of L . ((L,(L,L9)) "\/" L9) is M2( the carrier of L)
(L,(L,L9),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,L9)) is M2( the carrier of L)
the of L . (L,L9) is M2( the carrier of L)
(L,(L,L9)) "\/" (L,L9) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,L9)) is M2( the carrier of L)
(L,((L,(L,L9)) "\/" (L,L9))) is M2( the carrier of L)
the of L . ((L,(L,L9)) "\/" (L,L9)) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9)),(L,(L,L9),(L,L9))) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9))) "\/" (L,(L,L9),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,L9))),(L,(L,L9),(L,L9))) is M2( the carrier of L)
(L,((L,(L,(L,L9),(L,L9))) "\/" (L,(L,L9),(L,L9)))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9),(L,L9))) "\/" (L,(L,L9),(L,L9))) is M2( the carrier of L)
L is non empty join-commutative join-associative () ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,L9) "\/" L9 is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,((L,L9) "\/" L9)) is M2( the carrier of L)
the of L . ((L,L9) "\/" L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
L9 "\/" L9 is M2( the carrier of L)
the L_join of L . (L9,L9) is M2( the carrier of L)
(L,L9) "\/" (L,L9) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,L9)) is M2( the carrier of L)
(L,L9) "\/" ((L,L9) "\/" (L,L9)) is M2( the carrier of L)
the L_join of L . ((L,L9),((L,L9) "\/" (L,L9))) is M2( the carrier of L)
(L,(L,L9),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,L9)) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
(L,L9) "\/" L9 is M2( the carrier of L)
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,L9) "\/" ((L,L9) "\/" L9) is M2( the carrier of L)
the L_join of L . ((L,L9),((L,L9) "\/" L9)) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
(L,L9) "\/" L9 is M2( the carrier of L)
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,(L,L9),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,L9),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9)),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9),(L,L9)),(L,L9)) is M2( the carrier of L)
(L,(L,(L,(L,L9),(L,L9)),(L,L9)),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,L9)),(L,L9)),(L,L9)) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9)),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,L9),(L,L9)),L9) is M2( the carrier of L)
(L,(L,(L,(L,L9),(L,L9)),L9),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,L9)),L9),L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9),(L,L9)),L9),L9),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9),(L,L9)),L9),L9),(L,L9)) is M2( the carrier of L)
(L,(L,L9),L9) is M2( the carrier of L)
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,(L,(L,L9),L9),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9),L9),(L,L9)) is M2( the carrier of L)
L is non empty join-commutative join-associative () ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,L9) "\/" L9 is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,((L,L9) "\/" L9)) is M2( the carrier of L)
the of L . ((L,L9) "\/" L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
L9 "\/" L9 is M2( the carrier of L)
the L_join of L . (L9,L9) is M2( the carrier of L)
(L,L9) "\/" L9 is M2( the carrier of L)
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,L9) "\/" ((L,L9) "\/" L9) is M2( the carrier of L)
the L_join of L . ((L,L9),((L,L9) "\/" L9)) is M2( the carrier of L)
(L,(L,L9),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,L9)) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
(L,L9) "\/" (L,L9) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,L9)) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
(L,L9) "\/" L9 is M2( the carrier of L)
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,(L,L9),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9)),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,L9),(L,L9)),L9) is M2( the carrier of L)
(L,(L,(L,(L,L9),(L,L9)),L9),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,L9)),L9),(L,L9)) is M2( the carrier of L)
L is non empty join-commutative join-associative () ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,L9) "\/" L9 is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,((L,L9) "\/" L9)) is M2( the carrier of L)
the of L . ((L,L9) "\/" L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
L9 "\/" L9 is M2( the carrier of L)
the L_join of L . (L9,L9) is M2( the carrier of L)
(L,L9) "\/" L9 is M2( the carrier of L)
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,L9) "\/" ((L,L9) "\/" L9) is M2( the carrier of L)
the L_join of L . ((L,L9),((L,L9) "\/" L9)) is M2( the carrier of L)
(L,(L,L9),L9) is M2( the carrier of L)
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
(L,L9) "\/" (L,L9) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,L9)) is M2( the carrier of L)
(L,L9) "\/" ((L,L9) "\/" (L,L9)) is M2( the carrier of L)
the L_join of L . ((L,L9),((L,L9) "\/" (L,L9))) is M2( the carrier of L)
(L,(L,L9),L9) is M2( the carrier of L)
(L,(L,(L,L9),L9),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,L9),L9),L9) is M2( the carrier of L)
(L,(L,L9),(L,(L,(L,L9),L9),L9)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,(L,(L,L9),L9),L9)) is M2( the carrier of L)
L is non empty join-commutative join-associative () ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,L9) "\/" L9 is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,((L,L9) "\/" L9)) is M2( the carrier of L)
the of L . ((L,L9) "\/" L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
L9 "\/" L9 is M2( the carrier of L)
the L_join of L . (L9,L9) is M2( the carrier of L)
(L,L9) "\/" L9 is M2( the carrier of L)
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,L9) "\/" ((L,L9) "\/" L9) is M2( the carrier of L)
the L_join of L . ((L,L9),((L,L9) "\/" L9)) is M2( the carrier of L)
(L,(L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,L9)) is M2( the carrier of L)
the of L . (L,L9) is M2( the carrier of L)
(L,(L,L9)) "\/" (L,L9) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,L9)) is M2( the carrier of L)
(L,((L,(L,L9)) "\/" (L,L9))) is M2( the carrier of L)
the of L . ((L,(L,L9)) "\/" (L,L9)) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
(L,L9) "\/" (L,L9) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,L9),L9) is M2( the carrier of L)
(L,L9) "\/" L9 is M2( the carrier of L)
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,(L,L9),L9) is M2( the carrier of L)
(L,(L,L9)) is M2( the carrier of L)
the of L . (L,L9) is M2( the carrier of L)
(L,(L,L9)) "\/" L9 is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),L9) is M2( the carrier of L)
(L,((L,(L,L9)) "\/" L9)) is M2( the carrier of L)
the of L . ((L,(L,L9)) "\/" L9) is M2( the carrier of L)
(L,((L,L9) "\/" L9),(L,(L,L9),L9)) is M2( the carrier of L)
(L,((L,L9) "\/" L9)) is M2( the carrier of L)
the of L . ((L,L9) "\/" L9) is M2( the carrier of L)
(L,((L,L9) "\/" L9)) "\/" (L,(L,L9),L9) is M2( the carrier of L)
the L_join of L . ((L,((L,L9) "\/" L9)),(L,(L,L9),L9)) is M2( the carrier of L)
(L,((L,((L,L9) "\/" L9)) "\/" (L,(L,L9),L9))) is M2( the carrier of L)
the of L . ((L,((L,L9) "\/" L9)) "\/" (L,(L,L9),L9)) is M2( the carrier of L)
(L,L9,(L,L9)) is M2( the carrier of L)
the L_join of L . (L9,(L,L9)) is M2( the carrier of L)
(L,(L,L9,(L,L9)),(L,L9)) is M2( the carrier of L)
(L,(L,L9,(L,L9))) is M2( the carrier of L)
the of L . (L,L9,(L,L9)) is M2( the carrier of L)
(L,(L,L9,(L,L9))) "\/" (L,L9) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,(L,L9))),(L,L9)) is M2( the carrier of L)
(L,((L,(L,L9,(L,L9))) "\/" (L,L9))) is M2( the carrier of L)
the of L . ((L,(L,L9,(L,L9))) "\/" (L,L9)) is M2( the carrier of L)
L is non empty join-commutative join-associative () ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
x is M2( the carrier of L)
(L,x) is M2( the carrier of L)
the of L . x is M2( the carrier of L)
y is M2( the carrier of L)
(L,L9,y) is M2( the carrier of L)
(L,L9) "\/" y is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,L9),y) is M2( the carrier of L)
(L,((L,L9) "\/" y)) is M2( the carrier of L)
the of L . ((L,L9) "\/" y) is M2( the carrier of L)
(L,x,y) is M2( the carrier of L)
(L,x) "\/" y is M2( the carrier of L)
the L_join of L . ((L,x),y) is M2( the carrier of L)
(L,((L,x) "\/" y)) is M2( the carrier of L)
the of L . ((L,x) "\/" y) is M2( the carrier of L)
L is non empty join-commutative join-associative () ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
x is M2( the carrier of L)
(L,x) is M2( the carrier of L)
the of L . x is M2( the carrier of L)
(L,L9,(L,x)) is M2( the carrier of L)
(L,L9) "\/" (L,x) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,L9),(L,x)) is M2( the carrier of L)
(L,((L,L9) "\/" (L,x))) is M2( the carrier of L)
the of L . ((L,L9) "\/" (L,x)) is M2( the carrier of L)
(L,x,(L,L9)) is M2( the carrier of L)
(L,x) "\/" (L,L9) is M2( the carrier of L)
the L_join of L . ((L,x),(L,L9)) is M2( the carrier of L)
(L,((L,x) "\/" (L,L9))) is M2( the carrier of L)
the of L . ((L,x) "\/" (L,L9)) is M2( the carrier of L)
(L,(L,L9),(L,x)) is M2( the carrier of L)
(L,(L,(L,L9),(L,x))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,x)) is M2( the carrier of L)
L is non empty join-commutative join-associative () ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,L9) "\/" L9 is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,((L,L9) "\/" L9)) is M2( the carrier of L)
the of L . ((L,L9) "\/" L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
L9 "\/" L9 is M2( the carrier of L)
the L_join of L . (L9,L9) is M2( the carrier of L)
(L,L9) "\/" L9 is M2( the carrier of L)
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,L9) "\/" ((L,L9) "\/" L9) is M2( the carrier of L)
the L_join of L . ((L,L9),((L,L9) "\/" L9)) is M2( the carrier of L)
(L,(L,L9),L9) is M2( the carrier of L)
(L,(L,L9)) is M2( the carrier of L)
the of L . (L,L9) is M2( the carrier of L)
(L,(L,L9)) "\/" L9 is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),L9) is M2( the carrier of L)
(L,((L,(L,L9)) "\/" L9)) is M2( the carrier of L)
the of L . ((L,(L,L9)) "\/" L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
(L,L9) "\/" L9 is M2( the carrier of L)
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,(L,(L,L9)),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,L9)) is M2( the carrier of L)
(L,(L,L9)) is M2( the carrier of L)
the of L . (L,L9) is M2( the carrier of L)
(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9)),(L,L9)),(L,(L,L9))) is M2( the carrier of L)
(L,(L,(L,L9)),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,L9)) is M2( the carrier of L)
(L,(L,(L,(L,L9)),(L,L9)),L9) is M2( the carrier of L)
(L,(L,(L,L9)),(L,L9)) "\/" L9 is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9)),(L,L9)),L9) is M2( the carrier of L)
(L,(L,(L,(L,L9)),(L,L9)),L9) is M2( the carrier of L)
(L,(L,(L,(L,L9)),(L,L9))) is M2( the carrier of L)
the of L . (L,(L,(L,L9)),(L,L9)) is M2( the carrier of L)
(L,(L,(L,(L,L9)),(L,L9))) "\/" L9 is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9)),(L,L9))),L9) is M2( the carrier of L)
(L,((L,(L,(L,(L,L9)),(L,L9))) "\/" L9)) is M2( the carrier of L)
the of L . ((L,(L,(L,(L,L9)),(L,L9))) "\/" L9) is M2( the carrier of L)
(L,((L,(L,(L,L9)),(L,L9)) "\/" L9),(L,(L,(L,(L,L9)),(L,L9)),L9)) is M2( the carrier of L)
(L,((L,(L,(L,L9)),(L,L9)) "\/" L9)) is M2( the carrier of L)
the of L . ((L,(L,(L,L9)),(L,L9)) "\/" L9) is M2( the carrier of L)
(L,((L,(L,(L,L9)),(L,L9)) "\/" L9)) "\/" (L,(L,(L,(L,L9)),(L,L9)),L9) is M2( the carrier of L)
the L_join of L . ((L,((L,(L,(L,L9)),(L,L9)) "\/" L9)),(L,(L,(L,(L,L9)),(L,L9)),L9)) is M2( the carrier of L)
(L,((L,((L,(L,(L,L9)),(L,L9)) "\/" L9)) "\/" (L,(L,(L,(L,L9)),(L,L9)),L9))) is M2( the carrier of L)
the of L . ((L,((L,(L,(L,L9)),(L,L9)) "\/" L9)) "\/" (L,(L,(L,(L,L9)),(L,L9)),L9)) is M2( the carrier of L)
(L,(L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,L9)) "\/" (L,L9) is M2( the carrier of L)
(L,((L,(L,L9)) "\/" (L,L9))) is M2( the carrier of L)
the of L . ((L,(L,L9)) "\/" (L,L9)) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9)),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,L9),(L,L9)),L9) is M2( the carrier of L)
(L,(L,(L,(L,L9),(L,L9)),L9)) is M2( the carrier of L)
the of L . (L,(L,(L,L9),(L,L9)),L9) is M2( the carrier of L)
(L,(L,(L,(L,L9)),(L,L9)),(L,(L,(L,(L,L9),(L,L9)),L9))) is M2( the carrier of L)
(L,(L,(L,(L,L9)),(L,L9))) is M2( the carrier of L)
the of L . (L,(L,(L,L9)),(L,L9)) is M2( the carrier of L)
(L,(L,(L,(L,L9)),(L,L9))) "\/" (L,(L,(L,(L,L9),(L,L9)),L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9)),(L,L9))),(L,(L,(L,(L,L9),(L,L9)),L9))) is M2( the carrier of L)
(L,((L,(L,(L,(L,L9)),(L,L9))) "\/" (L,(L,(L,(L,L9),(L,L9)),L9)))) is M2( the carrier of L)
the of L . ((L,(L,(L,(L,L9)),(L,L9))) "\/" (L,(L,(L,(L,L9),(L,L9)),L9))) is M2( the carrier of L)
(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9))) is M2( the carrier of L)
(L,(L,(L,(L,L9)),(L,L9))) "\/" (L,(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9)),(L,L9))),(L,(L,L9))) is M2( the carrier of L)
(L,((L,(L,(L,(L,L9)),(L,L9))) "\/" (L,(L,L9)))) is M2( the carrier of L)
the of L . ((L,(L,(L,(L,L9)),(L,L9))) "\/" (L,(L,L9))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9))),L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))) "\/" L9 is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))),L9) is M2( the carrier of L)
(L,((L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))) "\/" L9)) is M2( the carrier of L)
the of L . ((L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))) "\/" L9) is M2( the carrier of L)
(L,(L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,L9)) "\/" (L,L9) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,L9)) is M2( the carrier of L)
(L,((L,(L,L9)) "\/" (L,L9))) is M2( the carrier of L)
the of L . ((L,(L,L9)) "\/" (L,L9)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))),L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))),L9),(L,L9)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))),L9)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))),L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))),L9)) "\/" (L,L9) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))),L9)),(L,L9)) is M2( the carrier of L)
(L,((L,(L,(L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))),L9)) "\/" (L,L9))) is M2( the carrier of L)
the of L . ((L,(L,(L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))),L9)) "\/" (L,L9)) is M2( the carrier of L)
(L,(L,L9),(L,(L,L9))) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,(L,L9))) is M2( the carrier of L)
(L,(L,(L,L9),(L,(L,L9))),(L,(L,L9))) is M2( the carrier of L)
(L,(L,L9),(L,(L,L9))) "\/" (L,(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9),(L,(L,L9))),(L,(L,L9))) is M2( the carrier of L)
(L,(L,(L,L9),(L,(L,L9))),(L,(L,L9))) is M2( the carrier of L)
(L,(L,(L,L9),(L,(L,L9)))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,(L,L9))) is M2( the carrier of L)
(L,(L,(L,L9),(L,(L,L9)))) "\/" (L,(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,(L,L9)))),(L,(L,L9))) is M2( the carrier of L)
(L,((L,(L,(L,L9),(L,(L,L9)))) "\/" (L,(L,L9)))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9),(L,(L,L9)))) "\/" (L,(L,L9))) is M2( the carrier of L)
(L,((L,(L,L9),(L,(L,L9))) "\/" (L,(L,L9))),(L,(L,(L,L9),(L,(L,L9))),(L,(L,L9)))) is M2( the carrier of L)
(L,((L,(L,L9),(L,(L,L9))) "\/" (L,(L,L9)))) is M2( the carrier of L)
the of L . ((L,(L,L9),(L,(L,L9))) "\/" (L,(L,L9))) is M2( the carrier of L)
(L,((L,(L,L9),(L,(L,L9))) "\/" (L,(L,L9)))) "\/" (L,(L,(L,L9),(L,(L,L9))),(L,(L,L9))) is M2( the carrier of L)
the L_join of L . ((L,((L,(L,L9),(L,(L,L9))) "\/" (L,(L,L9)))),(L,(L,(L,L9),(L,(L,L9))),(L,(L,L9)))) is M2( the carrier of L)
(L,((L,((L,(L,L9),(L,(L,L9))) "\/" (L,(L,L9)))) "\/" (L,(L,(L,L9),(L,(L,L9))),(L,(L,L9))))) is M2( the carrier of L)
the of L . ((L,((L,(L,L9),(L,(L,L9))) "\/" (L,(L,L9)))) "\/" (L,(L,(L,L9),(L,(L,L9))),(L,(L,L9)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9))),(L,(L,(L,L9),(L,(L,L9))),(L,(L,L9)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))) "\/" (L,(L,(L,L9),(L,(L,L9))),(L,(L,L9))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))),(L,(L,(L,L9),(L,(L,L9))),(L,(L,L9)))) is M2( the carrier of L)
(L,((L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))) "\/" (L,(L,(L,L9),(L,(L,L9))),(L,(L,L9))))) is M2( the carrier of L)
the of L . ((L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))) "\/" (L,(L,(L,L9),(L,(L,L9))),(L,(L,L9)))) is M2( the carrier of L)
(L,L9,(L,L9)) is M2( the carrier of L)
the L_join of L . (L9,(L,L9)) is M2( the carrier of L)
(L,(L,L9),(L,L9,(L,L9))) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,L9,(L,L9))) is M2( the carrier of L)
(L,(L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,L9)) "\/" (L,L9) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,L9)) is M2( the carrier of L)
(L,((L,(L,L9)) "\/" (L,L9))) is M2( the carrier of L)
the of L . ((L,(L,L9)) "\/" (L,L9)) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9,(L,L9))),(L,(L,L9),(L,L9))) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9,(L,L9)))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,L9,(L,L9))) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9,(L,L9)))) "\/" (L,(L,L9),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,L9,(L,L9)))),(L,(L,L9),(L,L9))) is M2( the carrier of L)
(L,((L,(L,(L,L9),(L,L9,(L,L9)))) "\/" (L,(L,L9),(L,L9)))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9),(L,L9,(L,L9)))) "\/" (L,(L,L9),(L,L9))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9))),(L,(L,(L,L9),(L,L9,(L,L9))),(L,(L,L9),(L,L9)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))) "\/" (L,(L,(L,L9),(L,L9,(L,L9))),(L,(L,L9),(L,L9))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))),(L,(L,(L,L9),(L,L9,(L,L9))),(L,(L,L9),(L,L9)))) is M2( the carrier of L)
(L,((L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))) "\/" (L,(L,(L,L9),(L,L9,(L,L9))),(L,(L,L9),(L,L9))))) is M2( the carrier of L)
the of L . ((L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))) "\/" (L,(L,(L,L9),(L,L9,(L,L9))),(L,(L,L9),(L,L9)))) is M2( the carrier of L)
(L,(L,L9),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9)),(L,(L,L9),(L,L9))) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9))) "\/" (L,(L,L9),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,L9))),(L,(L,L9),(L,L9))) is M2( the carrier of L)
(L,((L,(L,(L,L9),(L,L9))) "\/" (L,(L,L9),(L,L9)))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9),(L,L9))) "\/" (L,(L,L9),(L,L9))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9))),(L,(L,(L,L9),(L,L9)),(L,(L,L9),(L,L9)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))) "\/" (L,(L,(L,L9),(L,L9)),(L,(L,L9),(L,L9))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))),(L,(L,(L,L9),(L,L9)),(L,(L,L9),(L,L9)))) is M2( the carrier of L)
(L,((L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))) "\/" (L,(L,(L,L9),(L,L9)),(L,(L,L9),(L,L9))))) is M2( the carrier of L)
the of L . ((L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))) "\/" (L,(L,(L,L9),(L,L9)),(L,(L,L9),(L,L9)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))),(L,L9)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))),(L,L9))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))),(L,L9)) is M2( the carrier of L)
(L,(L,L9),L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))),(L,(L,L9),L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))),(L,(L,L9),L9)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))),(L,(L,L9),L9)),L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))),(L,(L,L9),L9))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))),(L,(L,L9),L9)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))),(L,(L,L9),L9))) "\/" L9 is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))),(L,(L,L9),L9))),L9) is M2( the carrier of L)
(L,((L,(L,(L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))),(L,(L,L9),L9))) "\/" L9)) is M2( the carrier of L)
the of L . ((L,(L,(L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))),(L,(L,L9),L9))) "\/" L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))),L9),(L,L9)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))),L9) "\/" (L,L9) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))),L9),(L,L9)) is M2( the carrier of L)
(L,((L,(L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))),L9) "\/" (L,L9)),(L,(L,(L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))),L9),(L,L9))) is M2( the carrier of L)
(L,((L,(L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))),L9) "\/" (L,L9))) is M2( the carrier of L)
the of L . ((L,(L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))),L9) "\/" (L,L9)) is M2( the carrier of L)
(L,((L,(L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))),L9) "\/" (L,L9))) "\/" (L,(L,(L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))),L9),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,((L,(L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))),L9) "\/" (L,L9))),(L,(L,(L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))),L9),(L,L9))) is M2( the carrier of L)
(L,((L,((L,(L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))),L9) "\/" (L,L9))) "\/" (L,(L,(L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))),L9),(L,L9)))) is M2( the carrier of L)
the of L . ((L,((L,(L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))),L9) "\/" (L,L9))) "\/" (L,(L,(L,(L,(L,(L,(L,L9)),(L,L9)),(L,(L,L9)))),L9),(L,L9))) is M2( the carrier of L)
L is non empty join-commutative join-associative () ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,L9) "\/" L9 is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,((L,L9) "\/" L9)) is M2( the carrier of L)
the of L . ((L,L9) "\/" L9) is M2( the carrier of L)
(L,L9) "\/" L9 is M2( the carrier of L)
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
L9 "\/" L9 is M2( the carrier of L)
the L_join of L . (L9,L9) is M2( the carrier of L)
(L,L9) "\/" L9 is M2( the carrier of L)
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,L9) "\/" ((L,L9) "\/" L9) is M2( the carrier of L)
the L_join of L . ((L,L9),((L,L9) "\/" L9)) is M2( the carrier of L)
(L,(L,L9),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9)),L9) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9))) "\/" L9 is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,L9))),L9) is M2( the carrier of L)
(L,((L,(L,(L,L9),(L,L9))) "\/" L9)) is M2( the carrier of L)
the of L . ((L,(L,(L,L9),(L,L9))) "\/" L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
(L,L9) "\/" (L,L9) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,L9)) is M2( the carrier of L)
(L,L9) "\/" ((L,L9) "\/" (L,L9)) is M2( the carrier of L)
the L_join of L . ((L,L9),((L,L9) "\/" (L,L9))) is M2( the carrier of L)
(L,(L,L9),(L,L9)) is M2( the carrier of L)
(L,L9) "\/" (L,L9) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,L9)) is M2( the carrier of L)
the of L . (L,L9) is M2( the carrier of L)
(L,(L,L9)) "\/" (L,L9) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,L9)) is M2( the carrier of L)
(L,((L,(L,L9)) "\/" (L,L9))) is M2( the carrier of L)
the of L . ((L,(L,L9)) "\/" (L,L9)) is M2( the carrier of L)
(L,((L,L9) "\/" (L,L9)),(L,(L,L9),(L,L9))) is M2( the carrier of L)
(L,((L,L9) "\/" (L,L9))) is M2( the carrier of L)
the of L . ((L,L9) "\/" (L,L9)) is M2( the carrier of L)
(L,((L,L9) "\/" (L,L9))) "\/" (L,(L,L9),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,((L,L9) "\/" (L,L9))),(L,(L,L9),(L,L9))) is M2( the carrier of L)
(L,((L,((L,L9) "\/" (L,L9))) "\/" (L,(L,L9),(L,L9)))) is M2( the carrier of L)
the of L . ((L,((L,L9) "\/" (L,L9))) "\/" (L,(L,L9),(L,L9))) is M2( the carrier of L)
(L,(L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,L9),L9) is M2( the carrier of L)
(L,(L,L9)) is M2( the carrier of L)
the of L . (L,L9) is M2( the carrier of L)
(L,(L,L9)) "\/" L9 is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),L9) is M2( the carrier of L)
(L,((L,(L,L9)) "\/" L9)) is M2( the carrier of L)
the of L . ((L,(L,L9)) "\/" L9) is M2( the carrier of L)
(L,(L,L9),(L,(L,L9),L9)) is M2( the carrier of L)
(L,(L,L9)) "\/" (L,(L,L9),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,(L,L9),L9)) is M2( the carrier of L)
(L,((L,(L,L9)) "\/" (L,(L,L9),L9))) is M2( the carrier of L)
the of L . ((L,(L,L9)) "\/" (L,(L,L9),L9)) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9)),(L,(L,L9),(L,(L,L9),L9))) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9))) "\/" (L,(L,L9),(L,(L,L9),L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,L9))),(L,(L,L9),(L,(L,L9),L9))) is M2( the carrier of L)
(L,((L,(L,(L,L9),(L,L9))) "\/" (L,(L,L9),(L,(L,L9),L9)))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9),(L,L9))) "\/" (L,(L,L9),(L,(L,L9),L9))) is M2( the carrier of L)
(L,(L,L9),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9)),(L,(L,L9),(L,(L,L9),L9))) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9))) "\/" (L,(L,L9),(L,(L,L9),L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,L9))),(L,(L,L9),(L,(L,L9),L9))) is M2( the carrier of L)
(L,((L,(L,(L,L9),(L,L9))) "\/" (L,(L,L9),(L,(L,L9),L9)))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9),(L,L9))) "\/" (L,(L,L9),(L,(L,L9),L9))) is M2( the carrier of L)
(L,(L,L9),L9) is M2( the carrier of L)
(L,L9) "\/" L9 is M2( the carrier of L)
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,((L,L9) "\/" L9),(L,(L,L9),L9)) is M2( the carrier of L)
(L,((L,L9) "\/" L9)) is M2( the carrier of L)
the of L . ((L,L9) "\/" L9) is M2( the carrier of L)
(L,((L,L9) "\/" L9)) "\/" (L,(L,L9),L9) is M2( the carrier of L)
the L_join of L . ((L,((L,L9) "\/" L9)),(L,(L,L9),L9)) is M2( the carrier of L)
(L,((L,((L,L9) "\/" L9)) "\/" (L,(L,L9),L9))) is M2( the carrier of L)
the of L . ((L,((L,L9) "\/" L9)) "\/" (L,(L,L9),L9)) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9)),(L,(L,L9),L9)) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9))) "\/" (L,(L,L9),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,L9))),(L,(L,L9),L9)) is M2( the carrier of L)
(L,((L,(L,(L,L9),(L,L9))) "\/" (L,(L,L9),L9))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9),(L,L9))) "\/" (L,(L,L9),L9)) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9)),L9) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9))) "\/" L9 is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,L9))),L9) is M2( the carrier of L)
(L,((L,(L,(L,L9),(L,L9))) "\/" L9)) is M2( the carrier of L)
the of L . ((L,(L,(L,L9),(L,L9))) "\/" L9) is M2( the carrier of L)
L is non empty join-commutative join-associative () ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,L9) "\/" L9 is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,((L,L9) "\/" L9)) is M2( the carrier of L)
the of L . ((L,L9) "\/" L9) is M2( the carrier of L)
(L,L9) "\/" L9 is M2( the carrier of L)
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
L9 "\/" L9 is M2( the carrier of L)
the L_join of L . (L9,L9) is M2( the carrier of L)
(L,L9) "\/" (L,L9) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,L9),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9)),L9) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9))) "\/" L9 is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,L9))),L9) is M2( the carrier of L)
(L,((L,(L,(L,L9),(L,L9))) "\/" L9)) is M2( the carrier of L)
the of L . ((L,(L,(L,L9),(L,L9))) "\/" L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
(L,L9) "\/" L9 is M2( the carrier of L)
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,L9) "\/" ((L,L9) "\/" L9) is M2( the carrier of L)
the L_join of L . ((L,L9),((L,L9) "\/" L9)) is M2( the carrier of L)
(L,(L,L9),(L,L9)) is M2( the carrier of L)
(L,L9) "\/" (L,L9) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,L9)) is M2( the carrier of L)
the of L . (L,L9) is M2( the carrier of L)
(L,(L,L9)) "\/" (L,L9) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,L9)) is M2( the carrier of L)
(L,((L,(L,L9)) "\/" (L,L9))) is M2( the carrier of L)
the of L . ((L,(L,L9)) "\/" (L,L9)) is M2( the carrier of L)
(L,((L,L9) "\/" (L,L9)),(L,(L,L9),(L,L9))) is M2( the carrier of L)
(L,((L,L9) "\/" (L,L9))) is M2( the carrier of L)
the of L . ((L,L9) "\/" (L,L9)) is M2( the carrier of L)
(L,((L,L9) "\/" (L,L9))) "\/" (L,(L,L9),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,((L,L9) "\/" (L,L9))),(L,(L,L9),(L,L9))) is M2( the carrier of L)
(L,((L,((L,L9) "\/" (L,L9))) "\/" (L,(L,L9),(L,L9)))) is M2( the carrier of L)
the of L . ((L,((L,L9) "\/" (L,L9))) "\/" (L,(L,L9),(L,L9))) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9)),(L,(L,L9),(L,L9))) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9))) "\/" (L,(L,L9),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,L9))),(L,(L,L9),(L,L9))) is M2( the carrier of L)
(L,((L,(L,(L,L9),(L,L9))) "\/" (L,(L,L9),(L,L9)))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9),(L,L9))) "\/" (L,(L,L9),(L,L9))) is M2( the carrier of L)
L is non empty join-commutative join-associative () ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,L9) "\/" L9 is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,((L,L9) "\/" L9)) is M2( the carrier of L)
the of L . ((L,L9) "\/" L9) is M2( the carrier of L)
(L,L9) "\/" L9 is M2( the carrier of L)
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
L9 "\/" L9 is M2( the carrier of L)
the L_join of L . (L9,L9) is M2( the carrier of L)
(L,L9) "\/" L9 is M2( the carrier of L)
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,L9) "\/" ((L,L9) "\/" L9) is M2( the carrier of L)
the L_join of L . ((L,L9),((L,L9) "\/" L9)) is M2( the carrier of L)
(L,(L,L9),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9)),(L,L9)) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9))) "\/" (L,L9) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,L9))),(L,L9)) is M2( the carrier of L)
(L,((L,(L,(L,L9),(L,L9))) "\/" (L,L9))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9),(L,L9))) "\/" (L,L9)) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
(L,L9) "\/" (L,L9) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,L9),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9)),L9) is M2( the carrier of L)
(L,(L,L9),(L,L9)) "\/" L9 is M2( the carrier of L)
the L_join of L . ((L,(L,L9),(L,L9)),L9) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9)),L9) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9))) "\/" L9 is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,L9))),L9) is M2( the carrier of L)
(L,((L,(L,(L,L9),(L,L9))) "\/" L9)) is M2( the carrier of L)
the of L . ((L,(L,(L,L9),(L,L9))) "\/" L9) is M2( the carrier of L)
(L,((L,(L,L9),(L,L9)) "\/" L9),(L,(L,(L,L9),(L,L9)),L9)) is M2( the carrier of L)
(L,((L,(L,L9),(L,L9)) "\/" L9)) is M2( the carrier of L)
the of L . ((L,(L,L9),(L,L9)) "\/" L9) is M2( the carrier of L)
(L,((L,(L,L9),(L,L9)) "\/" L9)) "\/" (L,(L,(L,L9),(L,L9)),L9) is M2( the carrier of L)
the L_join of L . ((L,((L,(L,L9),(L,L9)) "\/" L9)),(L,(L,(L,L9),(L,L9)),L9)) is M2( the carrier of L)
(L,((L,((L,(L,L9),(L,L9)) "\/" L9)) "\/" (L,(L,(L,L9),(L,L9)),L9))) is M2( the carrier of L)
the of L . ((L,((L,(L,L9),(L,L9)) "\/" L9)) "\/" (L,(L,(L,L9),(L,L9)),L9)) is M2( the carrier of L)
(L,(L,L9),L9) is M2( the carrier of L)
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,(L,L9),(L,(L,L9),L9)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,(L,L9),L9)) is M2( the carrier of L)
(L,(L,(L,L9),(L,(L,L9),L9)),(L,(L,(L,L9),(L,L9)),L9)) is M2( the carrier of L)
(L,(L,(L,L9),(L,(L,L9),L9))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,(L,L9),L9)) is M2( the carrier of L)
(L,(L,(L,L9),(L,(L,L9),L9))) "\/" (L,(L,(L,L9),(L,L9)),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,(L,L9),L9))),(L,(L,(L,L9),(L,L9)),L9)) is M2( the carrier of L)
(L,((L,(L,(L,L9),(L,(L,L9),L9))) "\/" (L,(L,(L,L9),(L,L9)),L9))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9),(L,(L,L9),L9))) "\/" (L,(L,(L,L9),(L,L9)),L9)) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9)),(L,(L,(L,L9),(L,L9)),L9)) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9))) "\/" (L,(L,(L,L9),(L,L9)),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,L9))),(L,(L,(L,L9),(L,L9)),L9)) is M2( the carrier of L)
(L,((L,(L,(L,L9),(L,L9))) "\/" (L,(L,(L,L9),(L,L9)),L9))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9),(L,L9))) "\/" (L,(L,(L,L9),(L,L9)),L9)) is M2( the carrier of L)
L is non empty join-commutative join-associative () ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,L9) "\/" L9 is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,((L,L9) "\/" L9)) is M2( the carrier of L)
the of L . ((L,L9) "\/" L9) is M2( the carrier of L)
(L,L9) "\/" L9 is M2( the carrier of L)
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
L9 "\/" L9 is M2( the carrier of L)
the L_join of L . (L9,L9) is M2( the carrier of L)
(L,L9) "\/" L9 is M2( the carrier of L)
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,L9) "\/" ((L,L9) "\/" L9) is M2( the carrier of L)
the L_join of L . ((L,L9),((L,L9) "\/" L9)) is M2( the carrier of L)
(L,(L,L9),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,(L,(L,L9),(L,L9))),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,L9))),L9) is M2( the carrier of L)
(L,(L,L9)) is M2( the carrier of L)
the of L . (L,L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9),(L,L9))),L9),(L,(L,L9))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9),(L,L9))),L9),(L,(L,L9))) is M2( the carrier of L)
L is non empty join-commutative join-associative () ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,L9) "\/" L9 is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,((L,L9) "\/" L9)) is M2( the carrier of L)
the of L . ((L,L9) "\/" L9) is M2( the carrier of L)
(L,L9) "\/" L9 is M2( the carrier of L)
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
L9 "\/" L9 is M2( the carrier of L)
the L_join of L . (L9,L9) is M2( the carrier of L)
(L,L9) "\/" L9 is M2( the carrier of L)
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,L9) "\/" ((L,L9) "\/" L9) is M2( the carrier of L)
the L_join of L . ((L,L9),((L,L9) "\/" L9)) is M2( the carrier of L)
(L,(L,L9),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,(L,(L,L9),(L,L9))),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,L9))),L9) is M2( the carrier of L)
(L,(L,L9)) is M2( the carrier of L)
the of L . (L,L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9),(L,L9))),L9),(L,(L,L9))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9),(L,L9))),L9),(L,(L,L9))) is M2( the carrier of L)
(L,(L,L9),L9) is M2( the carrier of L)
(L,(L,L9)) is M2( the carrier of L)
the of L . (L,L9) is M2( the carrier of L)
(L,(L,L9)) "\/" L9 is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),L9) is M2( the carrier of L)
(L,((L,(L,L9)) "\/" L9)) is M2( the carrier of L)
the of L . ((L,(L,L9)) "\/" L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9),(L,L9))),L9),(L,(L,L9))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9),(L,L9))),L9)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,L9),(L,L9))),L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9),(L,L9))),L9)) "\/" (L,(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9),(L,L9))),L9)),(L,(L,L9))) is M2( the carrier of L)
(L,((L,(L,(L,(L,(L,L9),(L,L9))),L9)) "\/" (L,(L,L9)))) is M2( the carrier of L)
the of L . ((L,(L,(L,(L,(L,L9),(L,L9))),L9)) "\/" (L,(L,L9))) is M2( the carrier of L)
(L,(L,L9),(L,(L,(L,(L,(L,L9),(L,L9))),L9),(L,(L,L9)))) is M2( the carrier of L)
(L,(L,L9)) "\/" (L,(L,(L,(L,(L,L9),(L,L9))),L9),(L,(L,L9))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,(L,(L,(L,(L,L9),(L,L9))),L9),(L,(L,L9)))) is M2( the carrier of L)
(L,((L,(L,L9)) "\/" (L,(L,(L,(L,(L,L9),(L,L9))),L9),(L,(L,L9))))) is M2( the carrier of L)
the of L . ((L,(L,L9)) "\/" (L,(L,(L,(L,(L,L9),(L,L9))),L9),(L,(L,L9)))) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9)),L9) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9))) "\/" L9 is M2( the carrier of L)
(L,((L,(L,(L,L9),(L,L9))) "\/" L9)) is M2( the carrier of L)
the of L . ((L,(L,(L,L9),(L,L9))) "\/" L9) is M2( the carrier of L)
(L,(L,L9),(L,(L,(L,L9),(L,L9)),L9)) is M2( the carrier of L)
(L,(L,L9)) "\/" (L,(L,(L,L9),(L,L9)),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,(L,(L,L9),(L,L9)),L9)) is M2( the carrier of L)
(L,((L,(L,L9)) "\/" (L,(L,(L,L9),(L,L9)),L9))) is M2( the carrier of L)
the of L . ((L,(L,L9)) "\/" (L,(L,(L,L9),(L,L9)),L9)) is M2( the carrier of L)
(L,(L,L9),(L,(L,L9),(L,(L,(L,L9),(L,L9)),L9))) is M2( the carrier of L)
(L,(L,L9)) "\/" (L,(L,L9),(L,(L,(L,L9),(L,L9)),L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,(L,L9),(L,(L,(L,L9),(L,L9)),L9))) is M2( the carrier of L)
(L,((L,(L,L9)) "\/" (L,(L,L9),(L,(L,(L,L9),(L,L9)),L9)))) is M2( the carrier of L)
the of L . ((L,(L,L9)) "\/" (L,(L,L9),(L,(L,(L,L9),(L,L9)),L9))) is M2( the carrier of L)
(L,(L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,L9)) "\/" (L,L9) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,L9)) is M2( the carrier of L)
(L,((L,(L,L9)) "\/" (L,L9))) is M2( the carrier of L)
the of L . ((L,(L,L9)) "\/" (L,L9)) is M2( the carrier of L)
(L,(L,L9),(L,(L,L9),(L,L9))) is M2( the carrier of L)
(L,(L,L9)) "\/" (L,(L,L9),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,(L,L9),(L,L9))) is M2( the carrier of L)
(L,((L,(L,L9)) "\/" (L,(L,L9),(L,L9)))) is M2( the carrier of L)
the of L . ((L,(L,L9)) "\/" (L,(L,L9),(L,L9))) is M2( the carrier of L)
L is non empty join-commutative join-associative () ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,L9) "\/" L9 is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,((L,L9) "\/" L9)) is M2( the carrier of L)
the of L . ((L,L9) "\/" L9) is M2( the carrier of L)
(L,L9) "\/" L9 is M2( the carrier of L)
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
L9 "\/" L9 is M2( the carrier of L)
the L_join of L . (L9,L9) is M2( the carrier of L)
(L,L9) "\/" L9 is M2( the carrier of L)
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,L9) "\/" ((L,L9) "\/" L9) is M2( the carrier of L)
the L_join of L . ((L,L9),((L,L9) "\/" L9)) is M2( the carrier of L)
(L,(L,L9),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,(L,(L,L9),(L,L9))),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,L9))),L9) is M2( the carrier of L)
(L,(L,L9)) is M2( the carrier of L)
the of L . (L,L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9),(L,L9))),L9),(L,(L,L9))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9),(L,L9))),L9),(L,(L,L9))) is M2( the carrier of L)
(L,(L,L9),L9) is M2( the carrier of L)
(L,(L,L9)) is M2( the carrier of L)
the of L . (L,L9) is M2( the carrier of L)
(L,(L,L9)) "\/" L9 is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),L9) is M2( the carrier of L)
(L,((L,(L,L9)) "\/" L9)) is M2( the carrier of L)
the of L . ((L,(L,L9)) "\/" L9) is M2( the carrier of L)
(L,L9,(L,(L,L9))) is M2( the carrier of L)
the L_join of L . (L9,(L,(L,L9))) is M2( the carrier of L)
(L,(L,(L,(L,L9),(L,L9))),(L,L9,(L,(L,L9)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,L9))),(L,L9,(L,(L,L9)))) is M2( the carrier of L)
(L,(L,L9,(L,(L,L9))),(L,(L,(L,L9),(L,L9)))) is M2( the carrier of L)
(L,(L,L9,(L,(L,L9)))) is M2( the carrier of L)
the of L . (L,L9,(L,(L,L9))) is M2( the carrier of L)
(L,(L,L9,(L,(L,L9)))) "\/" (L,(L,(L,L9),(L,L9))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,(L,(L,L9)))),(L,(L,(L,L9),(L,L9)))) is M2( the carrier of L)
(L,((L,(L,L9,(L,(L,L9)))) "\/" (L,(L,(L,L9),(L,L9))))) is M2( the carrier of L)
the of L . ((L,(L,L9,(L,(L,L9)))) "\/" (L,(L,(L,L9),(L,L9)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9),(L,L9))),(L,L9,(L,(L,L9)))),(L,(L,L9,(L,(L,L9))),(L,(L,(L,L9),(L,L9))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9),(L,L9))),(L,L9,(L,(L,L9))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,L9),(L,L9))),(L,L9,(L,(L,L9)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9),(L,L9))),(L,L9,(L,(L,L9))))) "\/" (L,(L,L9,(L,(L,L9))),(L,(L,(L,L9),(L,L9)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9),(L,L9))),(L,L9,(L,(L,L9))))),(L,(L,L9,(L,(L,L9))),(L,(L,(L,L9),(L,L9))))) is M2( the carrier of L)
(L,((L,(L,(L,(L,(L,L9),(L,L9))),(L,L9,(L,(L,L9))))) "\/" (L,(L,L9,(L,(L,L9))),(L,(L,(L,L9),(L,L9)))))) is M2( the carrier of L)
the of L . ((L,(L,(L,(L,(L,L9),(L,L9))),(L,L9,(L,(L,L9))))) "\/" (L,(L,L9,(L,(L,L9))),(L,(L,(L,L9),(L,L9))))) is M2( the carrier of L)
(L,(L,L9),(L,(L,L9,(L,(L,L9))),(L,(L,(L,L9),(L,L9))))) is M2( the carrier of L)
(L,(L,L9)) "\/" (L,(L,L9,(L,(L,L9))),(L,(L,(L,L9),(L,L9)))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,(L,L9,(L,(L,L9))),(L,(L,(L,L9),(L,L9))))) is M2( the carrier of L)
(L,((L,(L,L9)) "\/" (L,(L,L9,(L,(L,L9))),(L,(L,(L,L9),(L,L9)))))) is M2( the carrier of L)
the of L . ((L,(L,L9)) "\/" (L,(L,L9,(L,(L,L9))),(L,(L,(L,L9),(L,L9))))) is M2( the carrier of L)
(L,(L,L9),L9) is M2( the carrier of L)
(L,(L,L9)) "\/" L9 is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),L9) is M2( the carrier of L)
(L,((L,(L,L9)) "\/" L9)) is M2( the carrier of L)
the of L . ((L,(L,L9)) "\/" L9) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9)),(L,(L,L9),L9)) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9))) "\/" (L,(L,L9),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,L9))),(L,(L,L9),L9)) is M2( the carrier of L)
(L,((L,(L,(L,L9),(L,L9))) "\/" (L,(L,L9),L9))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9),(L,L9))) "\/" (L,(L,L9),L9)) is M2( the carrier of L)
(L,(L,L9),(L,(L,(L,L9),(L,L9)),(L,(L,L9),L9))) is M2( the carrier of L)
(L,(L,L9)) "\/" (L,(L,(L,L9),(L,L9)),(L,(L,L9),L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,(L,(L,L9),(L,L9)),(L,(L,L9),L9))) is M2( the carrier of L)
(L,((L,(L,L9)) "\/" (L,(L,(L,L9),(L,L9)),(L,(L,L9),L9)))) is M2( the carrier of L)
the of L . ((L,(L,L9)) "\/" (L,(L,(L,L9),(L,L9)),(L,(L,L9),L9))) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9)),(L,L9)) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9))) "\/" (L,L9) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,L9))),(L,L9)) is M2( the carrier of L)
(L,((L,(L,(L,L9),(L,L9))) "\/" (L,L9))) is M2( the carrier of L)
the of L . ((L,(L,(L,L9),(L,L9))) "\/" (L,L9)) is M2( the carrier of L)
(L,(L,L9),(L,(L,(L,L9),(L,L9)),(L,L9))) is M2( the carrier of L)
(L,(L,L9)) "\/" (L,(L,(L,L9),(L,L9)),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9)),(L,(L,(L,L9),(L,L9)),(L,L9))) is M2( the carrier of L)
(L,((L,(L,L9)) "\/" (L,(L,(L,L9),(L,L9)),(L,L9)))) is M2( the carrier of L)
the of L . ((L,(L,L9)) "\/" (L,(L,(L,L9),(L,L9)),(L,L9))) is M2( the carrier of L)
L is non empty join-commutative join-associative () ()
the carrier of L is V11() set
the M2( the carrier of L) is M2( the carrier of L)
(L, the M2( the carrier of L)) is M2( the carrier of L)
(L, the M2( the carrier of L)) is M2( the carrier of L)
(L, the M2( the carrier of L)) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . the M2( the carrier of L) is M2( the carrier of L)
(L, the M2( the carrier of L)) "\/" the M2( the carrier of L) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L, the M2( the carrier of L)), the M2( the carrier of L)) is M2( the carrier of L)
(L,((L, the M2( the carrier of L)) "\/" the M2( the carrier of L))) is M2( the carrier of L)
the of L . ((L, the M2( the carrier of L)) "\/" the M2( the carrier of L)) is M2( the carrier of L)
(L, the M2( the carrier of L)) "\/" the M2( the carrier of L) is M2( the carrier of L)
the L_join of L . ((L, the M2( the carrier of L)), the M2( the carrier of L)) is M2( the carrier of L)
x is M2( the carrier of L)
(L, the M2( the carrier of L)) is M2( the carrier of L)
(L, the M2( the carrier of L)) is M2( the carrier of L)
the M2( the carrier of L) "\/" the M2( the carrier of L) is M2( the carrier of L)
the L_join of L . ( the M2( the carrier of L), the M2( the carrier of L)) is M2( the carrier of L)
(L, the M2( the carrier of L)) "\/" the M2( the carrier of L) is M2( the carrier of L)
the L_join of L . ((L, the M2( the carrier of L)), the M2( the carrier of L)) is M2( the carrier of L)
(L, the M2( the carrier of L)) "\/" ((L, the M2( the carrier of L)) "\/" the M2( the carrier of L)) is M2( the carrier of L)
the L_join of L . ((L, the M2( the carrier of L)),((L, the M2( the carrier of L)) "\/" the M2( the carrier of L))) is M2( the carrier of L)
y is M2( the carrier of L)
(L,x,y) is M2( the carrier of L)
the L_join of L . (x,y) is M2( the carrier of L)
(L,(L,x,y)) is M2( the carrier of L)
the of L . (L,x,y) is M2( the carrier of L)
(L,y) is M2( the carrier of L)
the of L . y is M2( the carrier of L)
(L, the M2( the carrier of L)) is M2( the carrier of L)
(L,(L, the M2( the carrier of L)),(L, the M2( the carrier of L))) is M2( the carrier of L)
the L_join of L . ((L, the M2( the carrier of L)),(L, the M2( the carrier of L))) is M2( the carrier of L)
(L,(L,(L, the M2( the carrier of L)),(L, the M2( the carrier of L)))) is M2( the carrier of L)
the of L . (L,(L, the M2( the carrier of L)),(L, the M2( the carrier of L))) is M2( the carrier of L)
(L,(L,(L,(L, the M2( the carrier of L)),(L, the M2( the carrier of L)))), the M2( the carrier of L)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L, the M2( the carrier of L)),(L, the M2( the carrier of L)))), the M2( the carrier of L)) is M2( the carrier of L)
(L,(L, the M2( the carrier of L))) is M2( the carrier of L)
the of L . (L, the M2( the carrier of L)) is M2( the carrier of L)
(L,(L,(L,(L,(L, the M2( the carrier of L)),(L, the M2( the carrier of L)))), the M2( the carrier of L)),(L,(L, the M2( the carrier of L)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L, the M2( the carrier of L)),(L, the M2( the carrier of L)))), the M2( the carrier of L)),(L,(L, the M2( the carrier of L)))) is M2( the carrier of L)
(L,(L, the M2( the carrier of L)), the M2( the carrier of L)) is M2( the carrier of L)
(L,(L, the M2( the carrier of L))) is M2( the carrier of L)
the of L . (L, the M2( the carrier of L)) is M2( the carrier of L)
(L,(L, the M2( the carrier of L))) "\/" the M2( the carrier of L) is M2( the carrier of L)
the L_join of L . ((L,(L, the M2( the carrier of L))), the M2( the carrier of L)) is M2( the carrier of L)
(L,((L,(L, the M2( the carrier of L))) "\/" the M2( the carrier of L))) is M2( the carrier of L)
the of L . ((L,(L, the M2( the carrier of L))) "\/" the M2( the carrier of L)) is M2( the carrier of L)
L is non empty join-commutative join-associative () ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
x is M2( the carrier of L)
(L,x) is M2( the carrier of L)
the of L . x is M2( the carrier of L)
(L,(L,L9),(L,x)) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,L9),(L,x)) is M2( the carrier of L)
(L,(L,(L,L9),(L,x))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,x)) is M2( the carrier of L)
(L,L9,(L,x)) is M2( the carrier of L)
the L_join of L . (L9,(L,x)) is M2( the carrier of L)
(L,(L,L9,(L,x))) is M2( the carrier of L)
the of L . (L,L9,(L,x)) is M2( the carrier of L)
(L,(L,(L,(L,L9),(L,x))),(L,(L,L9,(L,x)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,x))),(L,(L,L9,(L,x)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9),(L,x))),(L,(L,L9,(L,x))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,L9),(L,x))),(L,(L,L9,(L,x)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9),(L,x))),(L,(L,L9,(L,x)))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,L9),(L,x))),(L,(L,L9,(L,x))))) is M2( the carrier of L)
(L,(L,x)) is M2( the carrier of L)
the of L . (L,x) is M2( the carrier of L)
L is non empty join-commutative join-associative () ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
(L,L9,L9) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . (L9,L9) is M2( the carrier of L)
x is M2( the carrier of L)
(L,L9,x) is M2( the carrier of L)
the L_join of L . (L9,x) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,(L,L9),(L,L9,x)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,L9,x)) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9,x))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,L9,x)) is M2( the carrier of L)
(L,L9,(L,L9,x)) is M2( the carrier of L)
the L_join of L . (L9,(L,L9,x)) is M2( the carrier of L)
(L,(L,L9,(L,L9,x))) is M2( the carrier of L)
the of L . (L,L9,(L,L9,x)) is M2( the carrier of L)
(L,(L,(L,(L,L9),(L,L9,x))),(L,(L,L9,(L,L9,x)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),(L,L9,x))),(L,(L,L9,(L,L9,x)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9),(L,L9,x))),(L,(L,L9,(L,L9,x))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,L9),(L,L9,x))),(L,(L,L9,(L,L9,x)))) is M2( the carrier of L)
(L,(L,L9),L9) is M2( the carrier of L)
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,(L,(L,L9),L9),x) is M2( the carrier of L)
the L_join of L . ((L,(L,L9),L9),x) is M2( the carrier of L)
(L,(L,(L,(L,L9),L9),x)) is M2( the carrier of L)
the of L . (L,(L,(L,L9),L9),x) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9),L9),x)),(L,(L,L9,(L,L9,x)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9),L9),x)),(L,(L,L9,(L,L9,x)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9),L9),x)),(L,(L,L9,(L,L9,x))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,L9),L9),x)),(L,(L,L9,(L,L9,x)))) is M2( the carrier of L)
(L,L9,(L,L9)) is M2( the carrier of L)
the L_join of L . (L9,(L,L9)) is M2( the carrier of L)
(L,(L,L9,(L,L9)),x) is M2( the carrier of L)
the L_join of L . ((L,L9,(L,L9)),x) is M2( the carrier of L)
(L,(L,(L,L9,(L,L9)),x)) is M2( the carrier of L)
the of L . (L,(L,L9,(L,L9)),x) is M2( the carrier of L)
(L,(L,L9,x)) is M2( the carrier of L)
the of L . (L,L9,x) is M2( the carrier of L)
(L,(L,(L,(L,L9,(L,L9)),x)),(L,(L,L9,x))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,(L,L9)),x)),(L,(L,L9,x))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,(L,L9)),x)),(L,(L,L9,x)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,L9,(L,L9)),x)),(L,(L,L9,x))) is M2( the carrier of L)
x is M2( the carrier of L)
(L,x) is M2( the carrier of L)
the of L . x is M2( the carrier of L)
y is M2( the carrier of L)
(L,y) is M2( the carrier of L)
the of L . y is M2( the carrier of L)
(L,(L,x),(L,y)) is M2( the carrier of L)
the L_join of L . ((L,x),(L,y)) is M2( the carrier of L)
(L,(L,(L,x),(L,y))) is M2( the carrier of L)
the of L . (L,(L,x),(L,y)) is M2( the carrier of L)
(L,x,(L,y)) is M2( the carrier of L)
the L_join of L . (x,(L,y)) is M2( the carrier of L)
(L,(L,x,(L,y))) is M2( the carrier of L)
the of L . (L,x,(L,y)) is M2( the carrier of L)
(L,(L,(L,(L,x),(L,y))),(L,(L,x,(L,y)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,x),(L,y))),(L,(L,x,(L,y)))) is M2( the carrier of L)
(L,(L,L9,(L,L9)),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,L9,(L,L9)),(L,L9)) is M2( the carrier of L)
(L,(L,L9,(L,L9))) is M2( the carrier of L)
the of L . (L,L9,(L,L9)) is M2( the carrier of L)
(L,(L,L9),(L,(L,L9,(L,L9)))) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,(L,L9,(L,L9)))) is M2( the carrier of L)
(L,(L,(L,L9),(L,(L,L9,(L,L9))))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,(L,L9,(L,L9)))) is M2( the carrier of L)
(L,(L,(L,L9,(L,L9)),(L,L9))) is M2( the carrier of L)
the of L . (L,(L,L9,(L,L9)),(L,L9)) is M2( the carrier of L)
(L,L9,(L,(L,(L,L9,(L,L9)),(L,L9)))) is M2( the carrier of L)
the L_join of L . (L9,(L,(L,(L,L9,(L,L9)),(L,L9)))) is M2( the carrier of L)
(L,(L,L9,(L,(L,(L,L9,(L,L9)),(L,L9))))) is M2( the carrier of L)
the of L . (L,L9,(L,(L,(L,L9,(L,L9)),(L,L9)))) is M2( the carrier of L)
(L,(L,L9),(L,(L,(L,L9,(L,L9)),(L,L9)))) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,(L,(L,L9,(L,L9)),(L,L9)))) is M2( the carrier of L)
(L,(L,(L,L9),(L,(L,(L,L9,(L,L9)),(L,L9))))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,(L,(L,L9,(L,L9)),(L,L9)))) is M2( the carrier of L)
(L,(L,(L,(L,L9,(L,L9)),(L,L9))),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,(L,L9)),(L,L9))),L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,(L,L9)),(L,L9))),L9)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,L9,(L,L9)),(L,L9))),L9) is M2( the carrier of L)
(L,(L,L9),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,L9,L9),(L,(L,L9),(L,L9))) is M2( the carrier of L)
the L_join of L . ((L,L9,L9),(L,(L,L9),(L,L9))) is M2( the carrier of L)
(L,(L,(L,L9,L9),(L,(L,L9),(L,L9)))) is M2( the carrier of L)
the of L . (L,(L,L9,L9),(L,(L,L9),(L,L9))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9,(L,L9)),(L,L9))),L9)),(L,(L,(L,L9,L9),(L,(L,L9),(L,L9))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9,(L,L9)),(L,L9))),L9)),(L,(L,(L,L9,L9),(L,(L,L9),(L,L9))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9,(L,L9)),(L,L9))),L9)),(L,(L,(L,L9,L9),(L,(L,L9),(L,L9)))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,L9,(L,L9)),(L,L9))),L9)),(L,(L,(L,L9,L9),(L,(L,L9),(L,L9))))) is M2( the carrier of L)
(L,L9,(L,(L,L9),(L,L9))) is M2( the carrier of L)
the L_join of L . (L9,(L,(L,L9),(L,L9))) is M2( the carrier of L)
(L,L9,(L,L9,(L,(L,L9),(L,L9)))) is M2( the carrier of L)
the L_join of L . (L9,(L,L9,(L,(L,L9),(L,L9)))) is M2( the carrier of L)
(L,(L,L9,(L,L9,(L,(L,L9),(L,L9))))) is M2( the carrier of L)
the of L . (L,L9,(L,L9,(L,(L,L9),(L,L9)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9,(L,L9)),(L,L9))),L9)),(L,(L,L9,(L,L9,(L,(L,L9),(L,L9)))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9,(L,L9)),(L,L9))),L9)),(L,(L,L9,(L,L9,(L,(L,L9),(L,L9)))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9,(L,L9)),(L,L9))),L9)),(L,(L,L9,(L,L9,(L,(L,L9),(L,L9))))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,L9,(L,L9)),(L,L9))),L9)),(L,(L,L9,(L,L9,(L,(L,L9),(L,L9)))))) is M2( the carrier of L)
(L,(L,(L,L9,(L,L9)),(L,L9)),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,(L,L9)),(L,L9)),L9) is M2( the carrier of L)
(L,(L,(L,(L,L9,(L,L9)),(L,L9)),L9)) is M2( the carrier of L)
the of L . (L,(L,(L,L9,(L,L9)),(L,L9)),L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9,(L,L9)),(L,L9))),L9)),(L,(L,(L,(L,L9,(L,L9)),(L,L9)),L9))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9,(L,L9)),(L,L9))),L9)),(L,(L,(L,(L,L9,(L,L9)),(L,L9)),L9))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9,(L,L9)),(L,L9))),L9)),(L,(L,(L,(L,L9,(L,L9)),(L,L9)),L9)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,L9,(L,L9)),(L,L9))),L9)),(L,(L,(L,(L,L9,(L,L9)),(L,L9)),L9))) is M2( the carrier of L)
(L,(L,L9,L9)) is M2( the carrier of L)
the of L . (L,L9,L9) is M2( the carrier of L)
(L,(L,(L,L9),(L,(L,L9,(L,L9)))),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,L9),(L,(L,L9,(L,L9)))),L9) is M2( the carrier of L)
(L,(L,(L,(L,L9),(L,(L,L9,(L,L9)))),L9)) is M2( the carrier of L)
the of L . (L,(L,(L,L9),(L,(L,L9,(L,L9)))),L9) is M2( the carrier of L)
(L,(L,(L,L9,L9)),(L,(L,(L,(L,L9),(L,(L,L9,(L,L9)))),L9))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,L9)),(L,(L,(L,(L,L9),(L,(L,L9,(L,L9)))),L9))) is M2( the carrier of L)
(L,(L,(L,(L,L9,L9)),(L,(L,(L,(L,L9),(L,(L,L9,(L,L9)))),L9)))) is M2( the carrier of L)
the of L . (L,(L,(L,L9,L9)),(L,(L,(L,(L,L9),(L,(L,L9,(L,L9)))),L9))) is M2( the carrier of L)
(L,(L,L9,(L,L9)),(L,(L,L9,(L,L9)))) is M2( the carrier of L)
the L_join of L . ((L,L9,(L,L9)),(L,(L,L9,(L,L9)))) is M2( the carrier of L)
(L,(L,(L,L9,(L,L9)),(L,(L,L9,(L,L9))))) is M2( the carrier of L)
the of L . (L,(L,L9,(L,L9)),(L,(L,L9,(L,L9)))) is M2( the carrier of L)
(L,(L,L9),(L,(L,(L,L9,(L,L9)),(L,(L,L9,(L,L9)))))) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,(L,(L,L9,(L,L9)),(L,(L,L9,(L,L9)))))) is M2( the carrier of L)
(L,(L,(L,L9),(L,(L,(L,L9,(L,L9)),(L,(L,L9,(L,L9))))))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,(L,(L,L9,(L,L9)),(L,(L,L9,(L,L9)))))) is M2( the carrier of L)
(L,L9,(L,(L,L9,(L,L9)))) is M2( the carrier of L)
the L_join of L . (L9,(L,(L,L9,(L,L9)))) is M2( the carrier of L)
a9 is M2( the carrier of L)
(L,(L,L9,(L,(L,L9,(L,L9)))),a9) is M2( the carrier of L)
the L_join of L . ((L,L9,(L,(L,L9,(L,L9)))),a9) is M2( the carrier of L)
(L,(L,(L,L9,(L,(L,L9,(L,L9)))),a9)) is M2( the carrier of L)
the of L . (L,(L,L9,(L,(L,L9,(L,L9)))),a9) is M2( the carrier of L)
(L,(L,(L,L9),(L,(L,L9,(L,L9)))),a9) is M2( the carrier of L)
the L_join of L . ((L,(L,L9),(L,(L,L9,(L,L9)))),a9) is M2( the carrier of L)
(L,(L,(L,(L,L9),(L,(L,L9,(L,L9)))),a9)) is M2( the carrier of L)
the of L . (L,(L,(L,L9),(L,(L,L9,(L,L9)))),a9) is M2( the carrier of L)
(L,(L,(L,(L,L9,(L,(L,L9,(L,L9)))),a9)),(L,(L,(L,(L,L9),(L,(L,L9,(L,L9)))),a9))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,(L,(L,L9,(L,L9)))),a9)),(L,(L,(L,(L,L9),(L,(L,L9,(L,L9)))),a9))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,(L,(L,L9,(L,L9)))),a9)),(L,(L,(L,(L,L9),(L,(L,L9,(L,L9)))),a9)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,L9,(L,(L,L9,(L,L9)))),a9)),(L,(L,(L,(L,L9),(L,(L,L9,(L,L9)))),a9))) is M2( the carrier of L)
(L,(L,(L,L9,(L,L9))),a9) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,(L,L9))),a9) is M2( the carrier of L)
(L,L9,(L,(L,(L,L9,(L,L9))),a9)) is M2( the carrier of L)
the L_join of L . (L9,(L,(L,(L,L9,(L,L9))),a9)) is M2( the carrier of L)
(L,(L,L9,(L,(L,(L,L9,(L,L9))),a9))) is M2( the carrier of L)
the of L . (L,L9,(L,(L,(L,L9,(L,L9))),a9)) is M2( the carrier of L)
(L,(L,(L,L9,(L,(L,(L,L9,(L,L9))),a9))),(L,(L,(L,(L,L9),(L,(L,L9,(L,L9)))),a9))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,(L,(L,(L,L9,(L,L9))),a9))),(L,(L,(L,(L,L9),(L,(L,L9,(L,L9)))),a9))) is M2( the carrier of L)
(L,(L,(L,(L,L9,(L,(L,(L,L9,(L,L9))),a9))),(L,(L,(L,(L,L9),(L,(L,L9,(L,L9)))),a9)))) is M2( the carrier of L)
the of L . (L,(L,(L,L9,(L,(L,(L,L9,(L,L9))),a9))),(L,(L,(L,(L,L9),(L,(L,L9,(L,L9)))),a9))) is M2( the carrier of L)
(L,(L,L9),(L,(L,(L,L9,(L,L9))),a9)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,(L,(L,L9,(L,L9))),a9)) is M2( the carrier of L)
(L,(L,(L,L9),(L,(L,(L,L9,(L,L9))),a9))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,(L,(L,L9,(L,L9))),a9)) is M2( the carrier of L)
(L,(L,(L,L9,(L,(L,(L,L9,(L,L9))),a9))),(L,(L,(L,L9),(L,(L,(L,L9,(L,L9))),a9)))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,(L,(L,(L,L9,(L,L9))),a9))),(L,(L,(L,L9),(L,(L,(L,L9,(L,L9))),a9)))) is M2( the carrier of L)
(L,(L,(L,(L,L9,(L,(L,(L,L9,(L,L9))),a9))),(L,(L,(L,L9),(L,(L,(L,L9,(L,L9))),a9))))) is M2( the carrier of L)
the of L . (L,(L,(L,L9,(L,(L,(L,L9,(L,L9))),a9))),(L,(L,(L,L9),(L,(L,(L,L9,(L,L9))),a9)))) is M2( the carrier of L)
a9 is M2( the carrier of L)
(L,a9) is M2( the carrier of L)
the of L . a9 is M2( the carrier of L)
(L,(L,a9),(L,(L,L9,(L,L9)))) is M2( the carrier of L)
the L_join of L . ((L,a9),(L,(L,L9,(L,L9)))) is M2( the carrier of L)
(L,(L,(L,a9),(L,(L,L9,(L,L9))))) is M2( the carrier of L)
the of L . (L,(L,a9),(L,(L,L9,(L,L9)))) is M2( the carrier of L)
(L,a9,(L,(L,L9,(L,L9)))) is M2( the carrier of L)
the L_join of L . (a9,(L,(L,L9,(L,L9)))) is M2( the carrier of L)
(L,(L,a9,(L,(L,L9,(L,L9))))) is M2( the carrier of L)
the of L . (L,a9,(L,(L,L9,(L,L9)))) is M2( the carrier of L)
(L,(L,(L,(L,a9),(L,(L,L9,(L,L9))))),(L,(L,a9,(L,(L,L9,(L,L9)))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,a9),(L,(L,L9,(L,L9))))),(L,(L,a9,(L,(L,L9,(L,L9)))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,a9),(L,(L,L9,(L,L9))))),(L,(L,a9,(L,(L,L9,(L,L9))))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,a9),(L,(L,L9,(L,L9))))),(L,(L,a9,(L,(L,L9,(L,L9)))))) is M2( the carrier of L)
(L,(L,a9)) is M2( the carrier of L)
the of L . (L,a9) is M2( the carrier of L)
(L,(L,(L,a9)),(L,(L,a9,(L,(L,L9,(L,L9)))))) is M2( the carrier of L)
the L_join of L . ((L,(L,a9)),(L,(L,a9,(L,(L,L9,(L,L9)))))) is M2( the carrier of L)
(L,(L,(L,(L,a9)),(L,(L,a9,(L,(L,L9,(L,L9))))))) is M2( the carrier of L)
the of L . (L,(L,(L,a9)),(L,(L,a9,(L,(L,L9,(L,L9)))))) is M2( the carrier of L)
(L,(L,(L,a9)),(L,a9)) is M2( the carrier of L)
the L_join of L . ((L,(L,a9)),(L,a9)) is M2( the carrier of L)
(L,(L,(L,(L,a9)),(L,a9))) is M2( the carrier of L)
the of L . (L,(L,(L,a9)),(L,a9)) is M2( the carrier of L)
a9 is M2( the carrier of L)
(L,a9) is M2( the carrier of L)
the of L . a9 is M2( the carrier of L)
(L,(L,a9)) is M2( the carrier of L)
the of L . (L,a9) is M2( the carrier of L)
(L,(L,a9),(L,(L,a9))) is M2( the carrier of L)
the L_join of L . ((L,a9),(L,(L,a9))) is M2( the carrier of L)
(L,(L,(L,a9),(L,(L,a9)))) is M2( the carrier of L)
the of L . (L,(L,a9),(L,(L,a9))) is M2( the carrier of L)
(L,a9,(L,(L,a9))) is M2( the carrier of L)
the L_join of L . (a9,(L,(L,a9))) is M2( the carrier of L)
(L,(L,a9,(L,(L,a9)))) is M2( the carrier of L)
the of L . (L,a9,(L,(L,a9))) is M2( the carrier of L)
(L,(L,(L,(L,a9),(L,(L,a9)))),(L,(L,a9,(L,(L,a9))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,a9),(L,(L,a9)))),(L,(L,a9,(L,(L,a9))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,a9),(L,(L,a9)))),(L,(L,a9,(L,(L,a9)))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,a9),(L,(L,a9)))),(L,(L,a9,(L,(L,a9))))) is M2( the carrier of L)
(L,(L,(L,L9,(L,L9))),(L,(L,a9,(L,(L,a9))))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,(L,L9))),(L,(L,a9,(L,(L,a9))))) is M2( the carrier of L)
(L,(L,(L,(L,L9,(L,L9))),(L,(L,a9,(L,(L,a9)))))) is M2( the carrier of L)
the of L . (L,(L,(L,L9,(L,L9))),(L,(L,a9,(L,(L,a9))))) is M2( the carrier of L)
(L,(L,(L,a9,(L,(L,a9))))) is M2( the carrier of L)
the of L . (L,(L,a9,(L,(L,a9)))) is M2( the carrier of L)
a9 is M2( the carrier of L)
(L,a9) is M2( the carrier of L)
the of L . a9 is M2( the carrier of L)
(L,(L,a9)) is M2( the carrier of L)
the of L . (L,a9) is M2( the carrier of L)
(L,(L,(L,a9))) is M2( the carrier of L)
the of L . (L,(L,a9)) is M2( the carrier of L)
(L,(L,(L,(L,a9))),(L,a9)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,a9))),(L,a9)) is M2( the carrier of L)
(L,(L,(L,(L,(L,a9))),(L,a9))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,a9))),(L,a9)) is M2( the carrier of L)
(L,(L,(L,a9)),(L,a9)) is M2( the carrier of L)
the L_join of L . ((L,(L,a9)),(L,a9)) is M2( the carrier of L)
(L,(L,(L,(L,a9)),(L,a9))) is M2( the carrier of L)
the of L . (L,(L,(L,a9)),(L,a9)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,a9))),(L,a9))),(L,(L,(L,(L,a9)),(L,a9)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,a9))),(L,a9))),(L,(L,(L,(L,a9)),(L,a9)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,a9))),(L,a9))),(L,(L,(L,(L,a9)),(L,a9))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,a9))),(L,a9))),(L,(L,(L,(L,a9)),(L,a9)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,a9))),(L,a9))),(L,(L,L9,(L,L9)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,a9))),(L,a9))),(L,(L,L9,(L,L9)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,a9))),(L,a9))),(L,(L,L9,(L,L9))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,a9))),(L,a9))),(L,(L,L9,(L,L9)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,a9))),(L,a9)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,a9))),(L,a9))) is M2( the carrier of L)
l is M2( the carrier of L)
a9 is M2( the carrier of L)
(L,a9) is M2( the carrier of L)
the of L . a9 is M2( the carrier of L)
(L,(L,a9),l) is M2( the carrier of L)
the L_join of L . ((L,a9),l) is M2( the carrier of L)
(L,(L,(L,a9),l)) is M2( the carrier of L)
the of L . (L,(L,a9),l) is M2( the carrier of L)
(L,a9,l) is M2( the carrier of L)
the L_join of L . (a9,l) is M2( the carrier of L)
(L,(L,a9,l)) is M2( the carrier of L)
the of L . (L,a9,l) is M2( the carrier of L)
(L,(L,(L,(L,a9),l)),(L,(L,a9,l))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,a9),l)),(L,(L,a9,l))) is M2( the carrier of L)
(L,(L,(L,(L,(L,a9),l)),(L,(L,a9,l)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,a9),l)),(L,(L,a9,l))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,a9),l)),(L,(L,a9,l))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,a9),l)),(L,(L,a9,l)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,a9),l)),(L,(L,a9,l)))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,a9),l)),(L,(L,a9,l))))) is M2( the carrier of L)
(L,l) is M2( the carrier of L)
the of L . l is M2( the carrier of L)
(L,(L,l)) is M2( the carrier of L)
the of L . (L,l) is M2( the carrier of L)
a9 is M2( the carrier of L)
(L,a9) is M2( the carrier of L)
the of L . a9 is M2( the carrier of L)
l is M2( the carrier of L)
(L,(L,a9),l) is M2( the carrier of L)
the L_join of L . ((L,a9),l) is M2( the carrier of L)
(L,(L,(L,a9),l)) is M2( the carrier of L)
the of L . (L,(L,a9),l) is M2( the carrier of L)
(L,a9,l) is M2( the carrier of L)
the L_join of L . (a9,l) is M2( the carrier of L)
(L,(L,a9,l)) is M2( the carrier of L)
the of L . (L,a9,l) is M2( the carrier of L)
(L,(L,(L,(L,a9),l)),(L,(L,a9,l))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,a9),l)),(L,(L,a9,l))) is M2( the carrier of L)
(L,(L,(L,(L,(L,a9),l)),(L,(L,a9,l)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,a9),l)),(L,(L,a9,l))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,a9),l)),(L,(L,a9,l))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,a9),l)),(L,(L,a9,l)))) is M2( the carrier of L)
(L,l) is M2( the carrier of L)
the of L . l is M2( the carrier of L)
(L,(L,y)) is M2( the carrier of L)
the of L . (L,y) is M2( the carrier of L)
the carrier of () is V11() V12() V31() 1 -element set
the M2( the carrier of ()) is M2( the carrier of ())
the M2( the carrier of ()) "\/" the M2( the carrier of ()) is M2( the carrier of ())
the L_join of () is V1() V4(K20( the carrier of (), the carrier of ())) V5( the carrier of ()) V6() V18(K20( the carrier of (), the carrier of ()), the carrier of ()) commutative associative M2(K19(K20(K20( the carrier of (), the carrier of ()), the carrier of ())))
K20( the carrier of (), the carrier of ()) is set
K20(K20( the carrier of (), the carrier of ()), the carrier of ()) is set
K19(K20(K20( the carrier of (), the carrier of ()), the carrier of ())) is set
the L_join of () . ( the M2( the carrier of ()), the M2( the carrier of ())) is M2( the carrier of ())
((), the M2( the carrier of ()), the M2( the carrier of ())) is M2( the carrier of ())
L is non empty join-commutative join-associative () ()
L is non empty join-commutative join-associative () ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
x is M2( the carrier of L)
(L,(L,L9),x) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,L9),x) is M2( the carrier of L)
(L,(L,(L,L9),x)) is M2( the carrier of L)
the of L . (L,(L,L9),x) is M2( the carrier of L)
(L,(L,(L,(L,L9),x)),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),x)),L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9),x)),L9),x) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9),x)),L9),x) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9),x)),L9),x)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,L9),x)),L9),x) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),x)),x) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,L9),x)),L9),x)),x) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),x)),x)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,L9),x)),L9),x)),x) is M2( the carrier of L)
(L,L9,x) is M2( the carrier of L)
the L_join of L . (L9,x) is M2( the carrier of L)
(L,(L,L9,x)) is M2( the carrier of L)
the of L . (L,L9,x) is M2( the carrier of L)
(L,(L,(L,(L,L9),x)),(L,(L,L9,x))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),x)),(L,(L,L9,x))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9),x)),(L,(L,L9,x)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,L9),x)),(L,(L,L9,x))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),x)),(L,(L,(L,(L,(L,L9),x)),(L,(L,L9,x))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,L9),x)),L9),x)),(L,(L,(L,(L,(L,L9),x)),(L,(L,L9,x))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),x)),(L,(L,(L,(L,(L,L9),x)),(L,(L,L9,x)))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,L9),x)),L9),x)),(L,(L,(L,(L,(L,L9),x)),(L,(L,L9,x))))) is M2( the carrier of L)
(L,(L,(L,(L,L9),x)),(L,L9,x)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),x)),(L,L9,x)) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9),x)),(L,L9,x))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,L9),x)),(L,L9,x)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9),x)),(L,L9,x))),(L,(L,(L,(L,(L,L9),x)),(L,(L,L9,x))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9),x)),(L,L9,x))),(L,(L,(L,(L,(L,L9),x)),(L,(L,L9,x))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9),x)),(L,L9,x))),(L,(L,(L,(L,(L,L9),x)),(L,(L,L9,x)))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,L9),x)),(L,L9,x))),(L,(L,(L,(L,(L,L9),x)),(L,(L,L9,x))))) is M2( the carrier of L)
L9 is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L . L9 is M2( the carrier of L)
x is M2( the carrier of L)
(L,(L,L9),x) is M2( the carrier of L)
the L_join of L . ((L,L9),x) is M2( the carrier of L)
(L,(L,(L,L9),x)) is M2( the carrier of L)
the of L . (L,(L,L9),x) is M2( the carrier of L)
(L,(L,(L,(L,L9),x)),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),x)),L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9),x)),L9),x) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9),x)),L9),x) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9),x)),L9),x)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,L9),x)),L9),x) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),x)),x) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,L9),x)),L9),x)),x) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),x)),x)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,L9),x)),L9),x)),x) is M2( the carrier of L)
y is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),x)),x),y) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,L9),x)),L9),x)),x),y) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),x)),x),y)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),x)),x),y) is M2( the carrier of L)
(L,(L,(L,(L,L9),x)),y) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),x)),y) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9),x)),y)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,L9),x)),y) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),x)),x),y)),(L,(L,(L,(L,(L,L9),x)),y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),x)),x),y)),(L,(L,(L,(L,(L,L9),x)),y))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),x)),x),y)),(L,(L,(L,(L,(L,L9),x)),y)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),x)),x),y)),(L,(L,(L,(L,(L,L9),x)),y))) is M2( the carrier of L)
L9 is M2( the carrier of L)
x is M2( the carrier of L)
(L,L9,x) is M2( the carrier of L)
the L_join of L . (L9,x) is M2( the carrier of L)
y is M2( the carrier of L)
(L,y) is M2( the carrier of L)
the of L . y is M2( the carrier of L)
c is M2( the carrier of L)
(L,(L,y),c) is M2( the carrier of L)
the L_join of L . ((L,y),c) is M2( the carrier of L)
(L,(L,(L,y),c)) is M2( the carrier of L)
the of L . (L,(L,y),c) is M2( the carrier of L)
(L,y,c) is M2( the carrier of L)
the L_join of L . (y,c) is M2( the carrier of L)
(L,(L,y,c)) is M2( the carrier of L)
the of L . (L,y,c) is M2( the carrier of L)
(L,(L,(L,(L,y),c)),(L,(L,y,c))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,y),c)),(L,(L,y,c))) is M2( the carrier of L)
a9 is M2( the carrier of L)
(L,(L,(L,(L,(L,y),c)),(L,(L,y,c))),a9) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,y),c)),(L,(L,y,c))),a9) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,y),c)),(L,(L,y,c))),a9)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,y),c)),(L,(L,y,c))),a9) is M2( the carrier of L)
(L,c,a9) is M2( the carrier of L)
the L_join of L . (c,a9) is M2( the carrier of L)
(L,(L,c,a9)) is M2( the carrier of L)
the of L . (L,c,a9) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,y),c)),(L,(L,y,c))),a9)),(L,(L,c,a9))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,y),c)),(L,(L,y,c))),a9)),(L,(L,c,a9))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,y),c)),(L,(L,y,c))),a9)),(L,(L,c,a9)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,y),c)),(L,(L,y,c))),a9)),(L,(L,c,a9))) is M2( the carrier of L)
(L,(L,(L,(L,(L,y),c)),(L,(L,y,c)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,y),c)),(L,(L,y,c))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,y),c)),(L,(L,y,c)))),a9) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,y),c)),(L,(L,y,c)))),a9) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,y),c)),(L,(L,y,c)))),a9)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,y),c)),(L,(L,y,c)))),a9) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,y),c)),(L,(L,y,c))),a9)),(L,(L,(L,(L,(L,(L,(L,y),c)),(L,(L,y,c)))),a9))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,y),c)),(L,(L,y,c))),a9)),(L,(L,(L,(L,(L,(L,(L,y),c)),(L,(L,y,c)))),a9))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,y),c)),(L,(L,y,c))),a9)),(L,(L,(L,(L,(L,(L,(L,y),c)),(L,(L,y,c)))),a9)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,y),c)),(L,(L,y,c))),a9)),(L,(L,(L,(L,(L,(L,(L,y),c)),(L,(L,y,c)))),a9))) is M2( the carrier of L)
y is M2( the carrier of L)
(L,y) is M2( the carrier of L)
the of L . y is M2( the carrier of L)
(L,(L,y),L9) is M2( the carrier of L)
the L_join of L . ((L,y),L9) is M2( the carrier of L)
(L,(L,(L,y),L9)) is M2( the carrier of L)
the of L . (L,(L,y),L9) is M2( the carrier of L)
(L,y,L9) is M2( the carrier of L)
the L_join of L . (y,L9) is M2( the carrier of L)
(L,(L,y,L9)) is M2( the carrier of L)
the of L . (L,y,L9) is M2( the carrier of L)
(L,(L,(L,(L,y),L9)),(L,(L,y,L9))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,y),L9)),(L,(L,y,L9))) is M2( the carrier of L)
(L,(L,(L,(L,(L,y),L9)),(L,(L,y,L9))),x) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,y),L9)),(L,(L,y,L9))),x) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,y),L9)),(L,(L,y,L9))),x)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,y),L9)),(L,(L,y,L9))),x) is M2( the carrier of L)
(L,(L,L9,x)) is M2( the carrier of L)
the of L . (L,L9,x) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,y),L9)),(L,(L,y,L9))),x)),(L,(L,L9,x))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,y),L9)),(L,(L,y,L9))),x)),(L,(L,L9,x))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,y),L9)),(L,(L,y,L9))),x)),(L,(L,L9,x)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,y),L9)),(L,(L,y,L9))),x)),(L,(L,L9,x))) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L . L9 is M2( the carrier of L)
(L,L9,(L,y)) is M2( the carrier of L)
the L_join of L . (L9,(L,y)) is M2( the carrier of L)
(L,(L,L9,(L,y))) is M2( the carrier of L)
the of L . (L,L9,(L,y)) is M2( the carrier of L)
(L,x,(L,(L,L9,(L,y)))) is M2( the carrier of L)
the L_join of L . (x,(L,(L,L9,(L,y)))) is M2( the carrier of L)
(L,L9,y) is M2( the carrier of L)
the L_join of L . (L9,y) is M2( the carrier of L)
(L,(L,L9,y)) is M2( the carrier of L)
the of L . (L,L9,y) is M2( the carrier of L)
(L,(L,x,(L,(L,L9,(L,y)))),(L,(L,L9,y))) is M2( the carrier of L)
the L_join of L . ((L,x,(L,(L,L9,(L,y)))),(L,(L,L9,y))) is M2( the carrier of L)
(L,(L,(L,x,(L,(L,L9,(L,y)))),(L,(L,L9,y)))) is M2( the carrier of L)
the of L . (L,(L,x,(L,(L,L9,(L,y)))),(L,(L,L9,y))) is M2( the carrier of L)
(L,(L,L9),(L,(L,(L,x,(L,(L,L9,(L,y)))),(L,(L,L9,y))))) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,(L,(L,x,(L,(L,L9,(L,y)))),(L,(L,L9,y))))) is M2( the carrier of L)
(L,(L,(L,L9),(L,(L,(L,x,(L,(L,L9,(L,y)))),(L,(L,L9,y)))))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,(L,(L,x,(L,(L,L9,(L,y)))),(L,(L,L9,y))))) is M2( the carrier of L)
(L,L9,(L,L9)) is M2( the carrier of L)
the L_join of L . (L9,(L,L9)) is M2( the carrier of L)
(L,(L,L9,(L,L9))) is M2( the carrier of L)
the of L . (L,L9,(L,L9)) is M2( the carrier of L)
(L,L9,L9) is M2( the carrier of L)
the L_join of L . (L9,L9) is M2( the carrier of L)
(L,(L,L9,L9),(L,(L,L9,(L,L9)))) is M2( the carrier of L)
the L_join of L . ((L,L9,L9),(L,(L,L9,(L,L9)))) is M2( the carrier of L)
(L,(L,(L,L9,L9),(L,(L,L9,(L,L9))))) is M2( the carrier of L)
the of L . (L,(L,L9,L9),(L,(L,L9,(L,L9)))) is M2( the carrier of L)
(L,L9,(L,(L,L9,(L,L9)))) is M2( the carrier of L)
the L_join of L . (L9,(L,(L,L9,(L,L9)))) is M2( the carrier of L)
(L,(L,L9,(L,(L,L9,(L,L9)))),L9) is M2( the carrier of L)
the L_join of L . ((L,L9,(L,(L,L9,(L,L9)))),L9) is M2( the carrier of L)
(L,(L,(L,L9,(L,(L,L9,(L,L9)))),L9)) is M2( the carrier of L)
the of L . (L,(L,L9,(L,(L,L9,(L,L9)))),L9) is M2( the carrier of L)
a9 is M2( the carrier of L)
(L,L9,a9) is M2( the carrier of L)
the L_join of L . (L9,a9) is M2( the carrier of L)
(L,(L,L9,a9)) is M2( the carrier of L)
the of L . (L,L9,a9) is M2( the carrier of L)
(L,x,(L,(L,L9,a9))) is M2( the carrier of L)
the L_join of L . (x,(L,(L,L9,a9))) is M2( the carrier of L)
l is M2( the carrier of L)
(L,(L,x,(L,(L,L9,a9))),l) is M2( the carrier of L)
the L_join of L . ((L,x,(L,(L,L9,a9))),l) is M2( the carrier of L)
(L,(L,(L,x,(L,(L,L9,a9))),l)) is M2( the carrier of L)
the of L . (L,(L,x,(L,(L,L9,a9))),l) is M2( the carrier of L)
(L,(L,L9,a9),l) is M2( the carrier of L)
the L_join of L . ((L,L9,a9),l) is M2( the carrier of L)
(L,(L,(L,L9,a9),l)) is M2( the carrier of L)
the of L . (L,(L,L9,a9),l) is M2( the carrier of L)
(L,(L,(L,(L,x,(L,(L,L9,a9))),l)),(L,(L,(L,L9,a9),l))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,x,(L,(L,L9,a9))),l)),(L,(L,(L,L9,a9),l))) is M2( the carrier of L)
(L,(L,(L,(L,(L,x,(L,(L,L9,a9))),l)),(L,(L,(L,L9,a9),l)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,x,(L,(L,L9,a9))),l)),(L,(L,(L,L9,a9),l))) is M2( the carrier of L)
(L,x,l) is M2( the carrier of L)
the L_join of L . (x,l) is M2( the carrier of L)
(L,(L,(L,L9,a9)),(L,x,l)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,a9)),(L,x,l)) is M2( the carrier of L)
(L,(L,(L,(L,L9,a9)),(L,x,l))) is M2( the carrier of L)
the of L . (L,(L,(L,L9,a9)),(L,x,l)) is M2( the carrier of L)
(L,(L,L9,x),a9) is M2( the carrier of L)
the L_join of L . ((L,L9,x),a9) is M2( the carrier of L)
(L,(L,(L,L9,x),a9),l) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,x),a9),l) is M2( the carrier of L)
(L,(L,(L,(L,L9,x),a9),l)) is M2( the carrier of L)
the of L . (L,(L,(L,L9,x),a9),l) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,a9)),(L,x,l))),(L,(L,(L,(L,L9,x),a9),l))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9,a9)),(L,x,l))),(L,(L,(L,(L,L9,x),a9),l))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9,a9)),(L,x,l))),(L,(L,(L,(L,L9,x),a9),l)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,L9,a9)),(L,x,l))),(L,(L,(L,(L,L9,x),a9),l))) is M2( the carrier of L)
(L,(L,L9,a9),x) is M2( the carrier of L)
the L_join of L . ((L,L9,a9),x) is M2( the carrier of L)
(L,(L,(L,L9,a9),x),l) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,a9),x),l) is M2( the carrier of L)
(L,(L,(L,(L,L9,a9),x),l)) is M2( the carrier of L)
the of L . (L,(L,(L,L9,a9),x),l) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,a9)),(L,x,l))),(L,(L,(L,(L,L9,a9),x),l))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9,a9)),(L,x,l))),(L,(L,(L,(L,L9,a9),x),l))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9,a9)),(L,x,l))),(L,(L,(L,(L,L9,a9),x),l)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,L9,a9)),(L,x,l))),(L,(L,(L,(L,L9,a9),x),l))) is M2( the carrier of L)
(L,(L,L9,a9),(L,x,l)) is M2( the carrier of L)
the L_join of L . ((L,L9,a9),(L,x,l)) is M2( the carrier of L)
(L,(L,(L,L9,a9),(L,x,l))) is M2( the carrier of L)
the of L . (L,(L,L9,a9),(L,x,l)) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,a9)),(L,x,l))),(L,(L,(L,L9,a9),(L,x,l)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9,a9)),(L,x,l))),(L,(L,(L,L9,a9),(L,x,l)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9,a9)),(L,x,l))),(L,(L,(L,L9,a9),(L,x,l))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,L9,a9)),(L,x,l))),(L,(L,(L,L9,a9),(L,x,l)))) is M2( the carrier of L)
(L,x,(L,L9)) is M2( the carrier of L)
the L_join of L . (x,(L,L9)) is M2( the carrier of L)
(L,(L,x,(L,L9))) is M2( the carrier of L)
the of L . (L,x,(L,L9)) is M2( the carrier of L)
(L,(L,L9),(L,(L,x,(L,L9)))) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,(L,x,(L,L9)))) is M2( the carrier of L)
(L,(L,(L,L9),(L,(L,x,(L,L9))))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,(L,x,(L,L9)))) is M2( the carrier of L)
(L,L9,(L,(L,x,(L,L9)))) is M2( the carrier of L)
the L_join of L . (L9,(L,(L,x,(L,L9)))) is M2( the carrier of L)
(L,(L,L9,(L,(L,x,(L,L9))))) is M2( the carrier of L)
the of L . (L,L9,(L,(L,x,(L,L9)))) is M2( the carrier of L)
(L,x,(L,(L,L9,(L,(L,x,(L,L9)))))) is M2( the carrier of L)
the L_join of L . (x,(L,(L,L9,(L,(L,x,(L,L9)))))) is M2( the carrier of L)
(L,(L,x,(L,(L,L9,(L,(L,x,(L,L9))))))) is M2( the carrier of L)
the of L . (L,x,(L,(L,L9,(L,(L,x,(L,L9)))))) is M2( the carrier of L)
(L,(L,(L,x,(L,L9))),(L,(L,L9,(L,(L,x,(L,L9)))))) is M2( the carrier of L)
the L_join of L . ((L,(L,x,(L,L9))),(L,(L,L9,(L,(L,x,(L,L9)))))) is M2( the carrier of L)
(L,(L,(L,(L,x,(L,L9))),(L,(L,L9,(L,(L,x,(L,L9))))))) is M2( the carrier of L)
the of L . (L,(L,(L,x,(L,L9))),(L,(L,L9,(L,(L,x,(L,L9)))))) is M2( the carrier of L)
(L,x,L9) is M2( the carrier of L)
the L_join of L . (x,L9) is M2( the carrier of L)
(L,(L,x,L9),(L,(L,x,(L,L9)))) is M2( the carrier of L)
the L_join of L . ((L,x,L9),(L,(L,x,(L,L9)))) is M2( the carrier of L)
(L,(L,(L,x,L9),(L,(L,x,(L,L9))))) is M2( the carrier of L)
the of L . (L,(L,x,L9),(L,(L,x,(L,L9)))) is M2( the carrier of L)
(L,(L,(L,x,(L,(L,L9,(L,(L,x,(L,L9))))))),(L,(L,(L,x,L9),(L,(L,x,(L,L9)))))) is M2( the carrier of L)
the L_join of L . ((L,(L,x,(L,(L,L9,(L,(L,x,(L,L9))))))),(L,(L,(L,x,L9),(L,(L,x,(L,L9)))))) is M2( the carrier of L)
(L,(L,(L,(L,x,(L,(L,L9,(L,(L,x,(L,L9))))))),(L,(L,(L,x,L9),(L,(L,x,(L,L9))))))) is M2( the carrier of L)
the of L . (L,(L,(L,x,(L,(L,L9,(L,(L,x,(L,L9))))))),(L,(L,(L,x,L9),(L,(L,x,(L,L9)))))) is M2( the carrier of L)
(L,x,(L,L9,(L,(L,x,(L,L9))))) is M2( the carrier of L)
the L_join of L . (x,(L,L9,(L,(L,x,(L,L9))))) is M2( the carrier of L)
(L,(L,x,(L,L9,(L,(L,x,(L,L9)))))) is M2( the carrier of L)
the of L . (L,x,(L,L9,(L,(L,x,(L,L9))))) is M2( the carrier of L)
(L,(L,(L,x,(L,(L,L9,(L,(L,x,(L,L9))))))),(L,(L,x,(L,L9,(L,(L,x,(L,L9))))))) is M2( the carrier of L)
the L_join of L . ((L,(L,x,(L,(L,L9,(L,(L,x,(L,L9))))))),(L,(L,x,(L,L9,(L,(L,x,(L,L9))))))) is M2( the carrier of L)
(L,(L,(L,(L,x,(L,(L,L9,(L,(L,x,(L,L9))))))),(L,(L,x,(L,L9,(L,(L,x,(L,L9)))))))) is M2( the carrier of L)
the of L . (L,(L,(L,x,(L,(L,L9,(L,(L,x,(L,L9))))))),(L,(L,x,(L,L9,(L,(L,x,(L,L9))))))) is M2( the carrier of L)
(L,(L,x,(L,L9)),(L,(L,L9,(L,(L,x,(L,L9)))))) is M2( the carrier of L)
the L_join of L . ((L,x,(L,L9)),(L,(L,L9,(L,(L,x,(L,L9)))))) is M2( the carrier of L)
(L,(L,(L,x,(L,L9)),(L,(L,L9,(L,(L,x,(L,L9))))))) is M2( the carrier of L)
the of L . (L,(L,x,(L,L9)),(L,(L,L9,(L,(L,x,(L,L9)))))) is M2( the carrier of L)
(L,x,(L,(L,(L,x,(L,L9)),(L,(L,L9,(L,(L,x,(L,L9)))))))) is M2( the carrier of L)
the L_join of L . (x,(L,(L,(L,x,(L,L9)),(L,(L,L9,(L,(L,x,(L,L9)))))))) is M2( the carrier of L)
(L,(L,x,(L,(L,(L,x,(L,L9)),(L,(L,L9,(L,(L,x,(L,L9))))))))) is M2( the carrier of L)
the of L . (L,x,(L,(L,(L,x,(L,L9)),(L,(L,L9,(L,(L,x,(L,L9)))))))) is M2( the carrier of L)
(L,(L,x,(L,(L,L9,(L,(L,x,(L,L9)))))),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,x,(L,(L,L9,(L,(L,x,(L,L9)))))),(L,L9)) is M2( the carrier of L)
(L,(L,(L,x,(L,(L,L9,(L,(L,x,(L,L9)))))),(L,L9))) is M2( the carrier of L)
the of L . (L,(L,x,(L,(L,L9,(L,(L,x,(L,L9)))))),(L,L9)) is M2( the carrier of L)
(L,x,(L,(L,(L,x,(L,(L,L9,(L,(L,x,(L,L9)))))),(L,L9)))) is M2( the carrier of L)
the L_join of L . (x,(L,(L,(L,x,(L,(L,L9,(L,(L,x,(L,L9)))))),(L,L9)))) is M2( the carrier of L)
(L,(L,x,(L,(L,(L,x,(L,(L,L9,(L,(L,x,(L,L9)))))),(L,L9))))) is M2( the carrier of L)
the of L . (L,x,(L,(L,(L,x,(L,(L,L9,(L,(L,x,(L,L9)))))),(L,L9)))) is M2( the carrier of L)
(L,(L,x,(L,(L,L9,(L,(L,x,(L,L9)))))),L9) is M2( the carrier of L)
the L_join of L . ((L,x,(L,(L,L9,(L,(L,x,(L,L9)))))),L9) is M2( the carrier of L)
(L,(L,(L,x,(L,(L,L9,(L,(L,x,(L,L9)))))),L9)) is M2( the carrier of L)
the of L . (L,(L,x,(L,(L,L9,(L,(L,x,(L,L9)))))),L9) is M2( the carrier of L)
(L,(L,(L,x,(L,L9))),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,x,(L,L9))),L9) is M2( the carrier of L)
(L,(L,(L,(L,x,(L,L9))),L9)) is M2( the carrier of L)
the of L . (L,(L,(L,x,(L,L9))),L9) is M2( the carrier of L)
(L,(L,(L,(L,x,(L,(L,L9,(L,(L,x,(L,L9)))))),L9)),(L,(L,(L,(L,x,(L,L9))),L9))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,x,(L,(L,L9,(L,(L,x,(L,L9)))))),L9)),(L,(L,(L,(L,x,(L,L9))),L9))) is M2( the carrier of L)
(L,(L,(L,(L,(L,x,(L,(L,L9,(L,(L,x,(L,L9)))))),L9)),(L,(L,(L,(L,x,(L,L9))),L9)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,x,(L,(L,L9,(L,(L,x,(L,L9)))))),L9)),(L,(L,(L,(L,x,(L,L9))),L9))) is M2( the carrier of L)
(L,L9,(L,(L,L9,(L,(L,x,(L,L9)))))) is M2( the carrier of L)
the L_join of L . (L9,(L,(L,L9,(L,(L,x,(L,L9)))))) is M2( the carrier of L)
(L,(L,L9,(L,(L,L9,(L,(L,x,(L,L9))))))) is M2( the carrier of L)
the of L . (L,L9,(L,(L,L9,(L,(L,x,(L,L9)))))) is M2( the carrier of L)
(L,(L,(L,L9,(L,(L,x,(L,L9))))),(L,(L,L9,(L,(L,L9,(L,(L,x,(L,L9)))))))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,(L,(L,x,(L,L9))))),(L,(L,L9,(L,(L,L9,(L,(L,x,(L,L9)))))))) is M2( the carrier of L)
(L,(L,(L,(L,L9,(L,(L,x,(L,L9))))),(L,(L,L9,(L,(L,L9,(L,(L,x,(L,L9))))))))) is M2( the carrier of L)
the of L . (L,(L,(L,L9,(L,(L,x,(L,L9))))),(L,(L,L9,(L,(L,L9,(L,(L,x,(L,L9)))))))) is M2( the carrier of L)
(L,(L,L9,(L,(L,L9,(L,L9))))) is M2( the carrier of L)
the of L . (L,L9,(L,(L,L9,(L,L9)))) is M2( the carrier of L)
(L,L9,(L,(L,L9,(L,(L,L9,(L,L9)))))) is M2( the carrier of L)
the L_join of L . (L9,(L,(L,L9,(L,(L,L9,(L,L9)))))) is M2( the carrier of L)
(L,(L,L9,(L,(L,L9,(L,(L,L9,(L,L9))))))) is M2( the carrier of L)
the of L . (L,L9,(L,(L,L9,(L,(L,L9,(L,L9)))))) is M2( the carrier of L)
(L,(L,(L,L9,(L,L9))),(L,(L,(L,L9,L9),(L,(L,L9,(L,L9)))))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,(L,L9))),(L,(L,(L,L9,L9),(L,(L,L9,(L,L9)))))) is M2( the carrier of L)
(L,(L,(L,(L,L9,(L,L9))),(L,(L,(L,L9,L9),(L,(L,L9,(L,L9))))))) is M2( the carrier of L)
the of L . (L,(L,(L,L9,(L,L9))),(L,(L,(L,L9,L9),(L,(L,L9,(L,L9)))))) is M2( the carrier of L)
(L,(L,L9,(L,L9)),(L,(L,(L,L9,L9),(L,(L,L9,(L,L9)))))) is M2( the carrier of L)
the L_join of L . ((L,L9,(L,L9)),(L,(L,(L,L9,L9),(L,(L,L9,(L,L9)))))) is M2( the carrier of L)
(L,(L,(L,L9,(L,L9)),(L,(L,(L,L9,L9),(L,(L,L9,(L,L9))))))) is M2( the carrier of L)
the of L . (L,(L,L9,(L,L9)),(L,(L,(L,L9,L9),(L,(L,L9,(L,L9)))))) is M2( the carrier of L)
(L,L9,(L,(L,(L,L9,(L,L9)),(L,(L,(L,L9,L9),(L,(L,L9,(L,L9)))))))) is M2( the carrier of L)
the L_join of L . (L9,(L,(L,(L,L9,(L,L9)),(L,(L,(L,L9,L9),(L,(L,L9,(L,L9)))))))) is M2( the carrier of L)
(L,(L,L9,(L,(L,(L,L9,(L,L9)),(L,(L,(L,L9,L9),(L,(L,L9,(L,L9))))))))) is M2( the carrier of L)
the of L . (L,L9,(L,(L,(L,L9,(L,L9)),(L,(L,(L,L9,L9),(L,(L,L9,(L,L9)))))))) is M2( the carrier of L)
(L,(L,(L,(L,L9,L9),(L,(L,L9,(L,L9))))),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,L9),(L,(L,L9,(L,L9))))),L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,L9),(L,(L,L9,(L,L9))))),L9),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9,L9),(L,(L,L9,(L,L9))))),L9),(L,L9)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9,L9),(L,(L,L9,(L,L9))))),L9),(L,L9))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,L9,L9),(L,(L,L9,(L,L9))))),L9),(L,L9)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9,L9),(L,(L,L9,(L,L9))))),L9),(L,L9))),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,L9,L9),(L,(L,L9,(L,L9))))),L9),(L,L9))),L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,L9,L9),(L,(L,L9,(L,L9))))),L9),(L,L9))),L9)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,L9,L9),(L,(L,L9,(L,L9))))),L9),(L,L9))),L9) is M2( the carrier of L)
(L,(L,(L,L9,(L,L9))),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,(L,L9))),L9) is M2( the carrier of L)
(L,(L,(L,(L,L9,(L,L9))),L9),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,(L,L9))),L9),L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,(L,L9))),L9),L9)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,L9,(L,L9))),L9),L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9,(L,L9))),L9),L9)),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9,(L,L9))),L9),L9)),L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9,(L,L9))),L9),L9)),L9),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,L9,(L,L9))),L9),L9)),L9),(L,L9)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,L9,(L,L9))),L9),L9)),L9),(L,L9))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,L9,(L,L9))),L9),L9)),L9),(L,L9)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,L9,(L,L9))),L9),L9)),L9),(L,L9))),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,(L,L9,(L,L9))),L9),L9)),L9),(L,L9))),L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9,(L,L9))),L9),L9)),L9),(L,L9))),L9)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,(L,L9,(L,L9))),L9),L9)),L9),(L,L9))),L9) is M2( the carrier of L)
(L,x,(L,(L,L9,(L,L9)))) is M2( the carrier of L)
the L_join of L . (x,(L,(L,L9,(L,L9)))) is M2( the carrier of L)
(L,(L,L9,L9)) is M2( the carrier of L)
the of L . (L,L9,L9) is M2( the carrier of L)
(L,x,(L,(L,L9,L9))) is M2( the carrier of L)
the L_join of L . (x,(L,(L,L9,L9))) is M2( the carrier of L)
(L,(L,x,(L,(L,L9,L9))),(L,(L,L9,(L,L9)))) is M2( the carrier of L)
the L_join of L . ((L,x,(L,(L,L9,L9))),(L,(L,L9,(L,L9)))) is M2( the carrier of L)
(L,(L,(L,x,(L,(L,L9,L9))),(L,(L,L9,(L,L9))))) is M2( the carrier of L)
the of L . (L,(L,x,(L,(L,L9,L9))),(L,(L,L9,(L,L9)))) is M2( the carrier of L)
(L,(L,(L,(L,x,(L,(L,L9,L9))),(L,(L,L9,(L,L9))))),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,x,(L,(L,L9,L9))),(L,(L,L9,(L,L9))))),(L,L9)) is M2( the carrier of L)
(L,(L,(L,(L,(L,x,(L,(L,L9,L9))),(L,(L,L9,(L,L9))))),(L,L9))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,x,(L,(L,L9,L9))),(L,(L,L9,(L,L9))))),(L,L9)) is M2( the carrier of L)
(L,(L,x,(L,(L,L9,(L,L9)))),(L,(L,L9,L9))) is M2( the carrier of L)
the L_join of L . ((L,x,(L,(L,L9,(L,L9)))),(L,(L,L9,L9))) is M2( the carrier of L)
(L,(L,(L,x,(L,(L,L9,(L,L9)))),(L,(L,L9,L9)))) is M2( the carrier of L)
the of L . (L,(L,x,(L,(L,L9,(L,L9)))),(L,(L,L9,L9))) is M2( the carrier of L)
(L,(L,L9),(L,(L,(L,x,(L,(L,L9,(L,L9)))),(L,(L,L9,L9))))) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,(L,(L,x,(L,(L,L9,(L,L9)))),(L,(L,L9,L9))))) is M2( the carrier of L)
(L,(L,(L,L9),(L,(L,(L,x,(L,(L,L9,(L,L9)))),(L,(L,L9,L9)))))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,(L,(L,x,(L,(L,L9,(L,L9)))),(L,(L,L9,L9))))) is M2( the carrier of L)
x is M2( the carrier of L)
(L,(L,L9,(L,(L,L9,(L,L9)))),x) is M2( the carrier of L)
the L_join of L . ((L,L9,(L,(L,L9,(L,L9)))),x) is M2( the carrier of L)
(L,(L,(L,L9,(L,(L,L9,(L,L9)))),x)) is M2( the carrier of L)
the of L . (L,(L,L9,(L,(L,L9,(L,L9)))),x) is M2( the carrier of L)
(L,(L,L9),(L,(L,L9,(L,L9)))) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,(L,L9,(L,L9)))) is M2( the carrier of L)
(L,(L,(L,L9),(L,(L,L9,(L,L9)))),x) is M2( the carrier of L)
the L_join of L . ((L,(L,L9),(L,(L,L9,(L,L9)))),x) is M2( the carrier of L)
(L,(L,(L,(L,L9),(L,(L,L9,(L,L9)))),x)) is M2( the carrier of L)
the of L . (L,(L,(L,L9),(L,(L,L9,(L,L9)))),x) is M2( the carrier of L)
(L,(L,(L,(L,L9,(L,(L,L9,(L,L9)))),x)),(L,(L,(L,(L,L9),(L,(L,L9,(L,L9)))),x))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,(L,(L,L9,(L,L9)))),x)),(L,(L,(L,(L,L9),(L,(L,L9,(L,L9)))),x))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,(L,(L,L9,(L,L9)))),x)),(L,(L,(L,(L,L9),(L,(L,L9,(L,L9)))),x)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,L9,(L,(L,L9,(L,L9)))),x)),(L,(L,(L,(L,L9),(L,(L,L9,(L,L9)))),x))) is M2( the carrier of L)
(L,(L,(L,L9,(L,L9))),x) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,(L,L9))),x) is M2( the carrier of L)
(L,L9,(L,(L,(L,L9,(L,L9))),x)) is M2( the carrier of L)
the L_join of L . (L9,(L,(L,(L,L9,(L,L9))),x)) is M2( the carrier of L)
(L,(L,L9,(L,(L,(L,L9,(L,L9))),x))) is M2( the carrier of L)
the of L . (L,L9,(L,(L,(L,L9,(L,L9))),x)) is M2( the carrier of L)
(L,(L,(L,L9,(L,(L,(L,L9,(L,L9))),x))),(L,(L,(L,(L,L9),(L,(L,L9,(L,L9)))),x))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,(L,(L,(L,L9,(L,L9))),x))),(L,(L,(L,(L,L9),(L,(L,L9,(L,L9)))),x))) is M2( the carrier of L)
(L,(L,(L,(L,L9,(L,(L,(L,L9,(L,L9))),x))),(L,(L,(L,(L,L9),(L,(L,L9,(L,L9)))),x)))) is M2( the carrier of L)
the of L . (L,(L,(L,L9,(L,(L,(L,L9,(L,L9))),x))),(L,(L,(L,(L,L9),(L,(L,L9,(L,L9)))),x))) is M2( the carrier of L)
(L,(L,L9),(L,(L,(L,L9,(L,L9))),x)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,(L,(L,L9,(L,L9))),x)) is M2( the carrier of L)
(L,(L,(L,L9),(L,(L,(L,L9,(L,L9))),x))) is M2( the carrier of L)
the of L . (L,(L,L9),(L,(L,(L,L9,(L,L9))),x)) is M2( the carrier of L)
(L,(L,(L,L9,(L,(L,(L,L9,(L,L9))),x))),(L,(L,(L,L9),(L,(L,(L,L9,(L,L9))),x)))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,(L,(L,(L,L9,(L,L9))),x))),(L,(L,(L,L9),(L,(L,(L,L9,(L,L9))),x)))) is M2( the carrier of L)
(L,(L,(L,(L,L9,(L,(L,(L,L9,(L,L9))),x))),(L,(L,(L,L9),(L,(L,(L,L9,(L,L9))),x))))) is M2( the carrier of L)
the of L . (L,(L,(L,L9,(L,(L,(L,L9,(L,L9))),x))),(L,(L,(L,L9),(L,(L,(L,L9,(L,L9))),x)))) is M2( the carrier of L)
(L,(L,(L,L9,(L,L9))),(L,(L,L9,(L,L9)))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,(L,L9))),(L,(L,L9,(L,L9)))) is M2( the carrier of L)
L is non empty join-commutative join-associative () ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
x is M2( the carrier of L)
(L,L9,x) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . (L9,x) is M2( the carrier of L)
(L,(L,L9,x)) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K19(K20( the carrier of L, the carrier of L)) is set
the of L . (L,L9,x) is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L . L9 is M2( the carrier of L)
(L,(L,L9),x) is M2( the carrier of L)
the L_join of L . ((L,L9),x) is M2( the carrier of L)
(L,(L,(L,L9),x)) is M2( the carrier of L)
the of L . (L,(L,L9),x) is M2( the carrier of L)
(L,(L,(L,(L,L9),x)),(L,(L,L9,x))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),x)),(L,(L,L9,x))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9),x)),(L,(L,L9,x)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,L9),x)),(L,(L,L9,x))) is M2( the carrier of L)
(L,(L,(L,L9),x),(L,(L,L9,x))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9),x),(L,(L,L9,x))) is M2( the carrier of L)
(L,(L,(L,(L,L9),x),(L,(L,L9,x)))) is M2( the carrier of L)
the of L . (L,(L,(L,L9),x),(L,(L,L9,x))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9),x)),(L,(L,L9,x)))),(L,(L,(L,(L,L9),x),(L,(L,L9,x))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9),x)),(L,(L,L9,x)))),(L,(L,(L,(L,L9),x),(L,(L,L9,x))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9),x)),(L,(L,L9,x)))),(L,(L,(L,(L,L9),x),(L,(L,L9,x)))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,L9),x)),(L,(L,L9,x)))),(L,(L,(L,(L,L9),x),(L,(L,L9,x))))) is M2( the carrier of L)
(L,x,(L,(L,(L,(L,L9),x),(L,(L,L9,x))))) is M2( the carrier of L)
the L_join of L . (x,(L,(L,(L,(L,L9),x),(L,(L,L9,x))))) is M2( the carrier of L)
(L,(L,x,(L,(L,(L,(L,L9),x),(L,(L,L9,x)))))) is M2( the carrier of L)
the of L . (L,x,(L,(L,(L,(L,L9),x),(L,(L,L9,x))))) is M2( the carrier of L)
(L,(L,(L,L9,x)),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,x)),(L,L9)) is M2( the carrier of L)
(L,(L,(L,(L,L9,x)),(L,L9)),x) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9,x)),(L,L9)),x) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,x)),(L,L9)),x)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,L9,x)),(L,L9)),x) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9,x)),(L,L9)),x)),x) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9,x)),(L,L9)),x)),x) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9,x)),(L,L9)),x)),x)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,L9,x)),(L,L9)),x)),x) is M2( the carrier of L)
L9 is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L . L9 is M2( the carrier of L)
x is M2( the carrier of L)
(L,(L,L9),x) is M2( the carrier of L)
the L_join of L . ((L,L9),x) is M2( the carrier of L)
(L,(L,(L,L9),x)) is M2( the carrier of L)
the of L . (L,(L,L9),x) is M2( the carrier of L)
(L,L9,x) is M2( the carrier of L)
the L_join of L . (L9,x) is M2( the carrier of L)
(L,(L,L9,x)) is M2( the carrier of L)
the of L . (L,L9,x) is M2( the carrier of L)
(L,(L,(L,L9,x)),(L,(L,(L,L9),x))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9,x)),(L,(L,(L,L9),x))) is M2( the carrier of L)
(L,(L,(L,(L,L9,x)),(L,(L,(L,L9),x)))) is M2( the carrier of L)
the of L . (L,(L,(L,L9,x)),(L,(L,(L,L9),x))) is M2( the carrier of L)
(L,(L,L9,x),(L,(L,(L,L9),x))) is M2( the carrier of L)
the L_join of L . ((L,L9,x),(L,(L,(L,L9),x))) is M2( the carrier of L)
(L,(L,(L,L9,x),(L,(L,(L,L9),x)))) is M2( the carrier of L)
the of L . (L,(L,L9,x),(L,(L,(L,L9),x))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9,x)),(L,(L,(L,L9),x)))),(L,(L,(L,L9,x),(L,(L,(L,L9),x))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9,x)),(L,(L,(L,L9),x)))),(L,(L,(L,L9,x),(L,(L,(L,L9),x))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9,x)),(L,(L,(L,L9),x)))),(L,(L,(L,L9,x),(L,(L,(L,L9),x)))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,L9,x)),(L,(L,(L,L9),x)))),(L,(L,(L,L9,x),(L,(L,(L,L9),x))))) is M2( the carrier of L)
(L,x,(L,(L,(L,L9,x),(L,(L,(L,L9),x))))) is M2( the carrier of L)
the L_join of L . (x,(L,(L,(L,L9,x),(L,(L,(L,L9),x))))) is M2( the carrier of L)
(L,(L,x,(L,(L,(L,L9,x),(L,(L,(L,L9),x)))))) is M2( the carrier of L)
the of L . (L,x,(L,(L,(L,L9,x),(L,(L,(L,L9),x))))) is M2( the carrier of L)
(L,(L,(L,(L,L9),x)),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),x)),L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9),x)),L9),x) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9),x)),L9),x) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9),x)),L9),x)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,L9),x)),L9),x) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),x)),x) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,L9),x)),L9),x)),x) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),x)),x)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,L9),x)),L9),x)),x) is M2( the carrier of L)
x is M2( the carrier of L)
L9 is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L . L9 is M2( the carrier of L)
(L,(L,L9),x) is M2( the carrier of L)
the L_join of L . ((L,L9),x) is M2( the carrier of L)
(L,(L,(L,L9),x)) is M2( the carrier of L)
the of L . (L,(L,L9),x) is M2( the carrier of L)
(L,(L,(L,(L,L9),x)),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),x)),L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9),x)),L9),x) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9),x)),L9),x) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9),x)),L9),x)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,L9),x)),L9),x) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),x)),x) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,L9),x)),L9),x)),x) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),x)),x)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,L9),x)),L9),x)),x) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9),x)),L9),x),x) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9),x)),L9),x),x) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),x),x)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,L9),x)),L9),x),x) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),x)),x)),(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),x),x))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),x)),x)),(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),x),x))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),x)),x)),(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),x),x)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),x)),x)),(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),x),x))) is M2( the carrier of L)
(L,(L,(L,(L,L9),x)),(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),x),x))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),x)),(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),x),x))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9),x)),(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),x),x)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,L9),x)),(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),x),x))) is M2( the carrier of L)
(L,x) is M2( the carrier of L)
x "\/" x is M2( the carrier of L)
the L_join of L . (x,x) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9),x)),L9),(L,x)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9),x)),L9),(L,x)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,L9),x)),L9),(L,x)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))) is M2( the carrier of L)
y is M2( the carrier of L)
L9 is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L . L9 is M2( the carrier of L)
x is M2( the carrier of L)
(L,(L,L9),x) is M2( the carrier of L)
the L_join of L . ((L,L9),x) is M2( the carrier of L)
(L,(L,(L,L9),x)) is M2( the carrier of L)
the of L . (L,(L,L9),x) is M2( the carrier of L)
(L,(L,(L,(L,L9),x)),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),x)),L9) is M2( the carrier of L)
(L,x) is M2( the carrier of L)
x "\/" x is M2( the carrier of L)
the L_join of L . (x,x) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9),x)),L9),(L,x)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9),x)),L9),(L,x)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,L9),x)),L9),(L,x)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x)))),y) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x)))),y) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x)))),y)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x)))),y) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),y) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),y) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),y)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),y) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x)))),y)),(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x)))),y)),(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),y))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x)))),y)),(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),y)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x)))),y)),(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),y))) is M2( the carrier of L)
(L,x,y) is M2( the carrier of L)
the L_join of L . (x,y) is M2( the carrier of L)
(L,(L,x,y)) is M2( the carrier of L)
the of L . (L,x,y) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),y)),(L,(L,x,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),y)),(L,(L,x,y))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),y)),(L,(L,x,y)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),y)),(L,(L,x,y))) is M2( the carrier of L)
L9 is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L . L9 is M2( the carrier of L)
x is M2( the carrier of L)
(L,(L,L9),x) is M2( the carrier of L)
the L_join of L . ((L,L9),x) is M2( the carrier of L)
(L,(L,(L,L9),x)) is M2( the carrier of L)
the of L . (L,(L,L9),x) is M2( the carrier of L)
(L,(L,(L,(L,L9),x)),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),x)),L9) is M2( the carrier of L)
(L,x) is M2( the carrier of L)
x "\/" x is M2( the carrier of L)
the L_join of L . (x,x) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9),x)),L9),(L,x)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9),x)),L9),(L,x)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,L9),x)),L9),(L,x)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))) is M2( the carrier of L)
y is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),y) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),y) is M2( the carrier of L)
(L,x,y) is M2( the carrier of L)
the L_join of L . (x,y) is M2( the carrier of L)
(L,(L,x,y)) is M2( the carrier of L)
the of L . (L,x,y) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),y)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),y) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),y)),(L,(L,x,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),y)),(L,(L,x,y))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),y)),(L,(L,x,y)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),y)),(L,(L,x,y))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),y),(L,(L,x,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),y),(L,(L,x,y))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),y),(L,(L,x,y)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),y),(L,(L,x,y))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),y)),(L,(L,x,y)))),(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),y),(L,(L,x,y))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),y)),(L,(L,x,y)))),(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),y),(L,(L,x,y))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),y)),(L,(L,x,y)))),(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),y),(L,(L,x,y)))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),y)),(L,(L,x,y)))),(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),y),(L,(L,x,y))))) is M2( the carrier of L)
(L,y,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),y),(L,(L,x,y))))) is M2( the carrier of L)
the L_join of L . (y,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),y),(L,(L,x,y))))) is M2( the carrier of L)
(L,(L,y,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),y),(L,(L,x,y)))))) is M2( the carrier of L)
the of L . (L,y,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),y),(L,(L,x,y))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),(L,(L,x,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),(L,(L,x,y))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),(L,(L,x,y))),y) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),(L,(L,x,y))),y) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),(L,(L,x,y))),y)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),(L,(L,x,y))),y) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),(L,(L,x,y))),y)),y) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),(L,(L,x,y))),y)),y) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),(L,(L,x,y))),y)),y)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),(L,(L,x,y))),y)),y) is M2( the carrier of L)
L9 is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L . L9 is M2( the carrier of L)
x is M2( the carrier of L)
(L,(L,L9),x) is M2( the carrier of L)
the L_join of L . ((L,L9),x) is M2( the carrier of L)
(L,(L,(L,L9),x)) is M2( the carrier of L)
the of L . (L,(L,L9),x) is M2( the carrier of L)
(L,(L,(L,(L,L9),x)),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),x)),L9) is M2( the carrier of L)
(L,x) is M2( the carrier of L)
x "\/" x is M2( the carrier of L)
the L_join of L . (x,x) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9),x)),L9),(L,x)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,L9),x)),L9),(L,x)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,L9),x)),L9),(L,x)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))) is M2( the carrier of L)
y is M2( the carrier of L)
(L,x,y) is M2( the carrier of L)
the L_join of L . (x,y) is M2( the carrier of L)
(L,(L,x,y)) is M2( the carrier of L)
the of L . (L,x,y) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),(L,(L,x,y))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),(L,(L,x,y))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),(L,(L,x,y))),y) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),(L,(L,x,y))),y) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),(L,(L,x,y))),y)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),(L,(L,x,y))),y) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),(L,(L,x,y))),y)),y) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),(L,(L,x,y))),y)),y) is M2( the carrier of L)
c is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),(L,(L,x,y))),y)),y)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),(L,(L,x,y))),y)),y) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),(L,(L,x,y))),y)),y)),c) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),(L,(L,x,y))),y)),y)),c) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),(L,(L,x,y))),y)),y)),c)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),(L,(L,x,y))),y)),y)),c) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),(L,(L,x,y))),y)),y),c) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),(L,(L,x,y))),y)),y),c) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),(L,(L,x,y))),y)),y),c)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),(L,(L,x,y))),y)),y),c) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),(L,(L,x,y))),y)),y)),c)),(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),(L,(L,x,y))),y)),y),c))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),(L,(L,x,y))),y)),y)),c)),(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),(L,(L,x,y))),y)),y),c))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),(L,(L,x,y))),y)),y)),c)),(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),(L,(L,x,y))),y)),y),c)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),(L,(L,x,y))),y)),y)),c)),(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),(L,(L,x,y))),y)),y),c))) is M2( the carrier of L)
(L,(L,(L,x,y)),c) is M2( the carrier of L)
the L_join of L . ((L,(L,x,y)),c) is M2( the carrier of L)
(L,(L,(L,(L,x,y)),c)) is M2( the carrier of L)
the of L . (L,(L,(L,x,y)),c) is M2( the carrier of L)
(L,(L,(L,(L,(L,x,y)),c)),(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),(L,(L,x,y))),y)),y),c))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,x,y)),c)),(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),(L,(L,x,y))),y)),y),c))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,x,y)),c)),(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),(L,(L,x,y))),y)),y),c)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,x,y)),c)),(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),x)),L9),(L,x))),(L,(L,(L,L9),x))),(L,(L,x,y))),y)),y),c))) is M2( the carrier of L)
c is M2( the carrier of L)
(L,c) is M2( the carrier of L)
c "\/" c is M2( the carrier of L)
the L_join of L . (c,c) is M2( the carrier of L)
(L,(L,c),c) is M2( the carrier of L)
the L_join of L . ((L,c),c) is M2( the carrier of L)
(L,(L,(L,c),c)) is M2( the carrier of L)
the of L . (L,(L,c),c) is M2( the carrier of L)
(L,(L,(L,(L,c),c)),c) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,c),c)),c) is M2( the carrier of L)
(L,(L,(L,(L,(L,c),c)),c)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,c),c)),c) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,c),c)),c)),(L,c)) is M2( the carrier of L)
(L,(L,c),(L,c)) is M2( the carrier of L)
the L_join of L . ((L,c),(L,c)) is M2( the carrier of L)
(L,(L,(L,c),(L,c)),c) is M2( the carrier of L)
the L_join of L . ((L,(L,c),(L,c)),c) is M2( the carrier of L)
(L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))) is M2( the carrier of L)
the L_join of L . ((L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))) is M2( the carrier of L)
(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))) is M2( the carrier of L)
the of L . (L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))) is M2( the carrier of L)
(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,c),c))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,c),c))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,c),c))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,c),c))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,c),c))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,c),c))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,c),c))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,c),c))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,c),c))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,c),c))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))) is M2( the carrier of L)
(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))),(L,(L,(L,c),c))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))),(L,(L,(L,c),c))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))),(L,(L,(L,c),c)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))),(L,(L,(L,c),c))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))),(L,(L,(L,c),c)))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))),(L,(L,(L,c),c)))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))),(L,(L,(L,c),c)))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))),(L,(L,(L,c),c)))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))) is M2( the carrier of L)
(L,c,(L,c)) is M2( the carrier of L)
the L_join of L . (c,(L,c)) is M2( the carrier of L)
(L,(L,c,(L,c))) is M2( the carrier of L)
the of L . (L,c,(L,c)) is M2( the carrier of L)
(L,(L,(L,c,(L,c))),(L,(L,(L,(L,(L,c),c)),c))) is M2( the carrier of L)
the L_join of L . ((L,(L,c,(L,c))),(L,(L,(L,(L,(L,c),c)),c))) is M2( the carrier of L)
(L,(L,(L,(L,c,(L,c))),(L,(L,(L,(L,(L,c),c)),c)))) is M2( the carrier of L)
the of L . (L,(L,(L,c,(L,c))),(L,(L,(L,(L,(L,c),c)),c))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,c),c)),c)),(L,(L,c),c)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,c),c)),c)),(L,(L,c),c)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,c),c)),c)),(L,(L,c),c)),(L,c)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,c),c)),c)),(L,(L,c),c)),(L,c)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,c),c)),c)),(L,(L,c),c)),(L,c))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,c),c)),c)),(L,(L,c),c)),(L,c)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c)),c)),(L,(L,c),c)),(L,c))),(L,(L,(L,(L,(L,c),c)),c))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,(L,c),c)),c)),(L,(L,c),c)),(L,c))),(L,(L,(L,(L,(L,c),c)),c))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c)),c)),(L,(L,c),c)),(L,c))),(L,(L,(L,(L,(L,c),c)),c))),(L,(L,c,(L,c)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,(L,(L,c),c)),c)),(L,(L,c),c)),(L,c))),(L,(L,(L,(L,(L,c),c)),c))),(L,(L,c,(L,c)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c)),c)),(L,(L,c),c)),(L,c))),(L,(L,(L,(L,(L,c),c)),c))),(L,(L,c,(L,c)))),(L,c)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c)),c)),(L,(L,c),c)),(L,c))),(L,(L,(L,(L,(L,c),c)),c))),(L,(L,c,(L,c)))),(L,c)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c)),c)),(L,(L,c),c)),(L,c))),(L,(L,(L,(L,(L,c),c)),c))),(L,(L,c,(L,c)))),(L,c))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c)),c)),(L,(L,c),c)),(L,c))),(L,(L,(L,(L,(L,c),c)),c))),(L,(L,c,(L,c)))),(L,c)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c)),c)),(L,(L,c),c)),(L,c))),(L,(L,(L,(L,(L,c),c)),c))),(L,(L,c,(L,c)))),(L,c))),(L,c)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c)),c)),(L,(L,c),c)),(L,c))),(L,(L,(L,(L,(L,c),c)),c))),(L,(L,c,(L,c)))),(L,c))),(L,c)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c)),c)),(L,(L,c),c)),(L,c))),(L,(L,(L,(L,(L,c),c)),c))),(L,(L,c,(L,c)))),(L,c))),(L,c)),(L,(L,(L,(L,(L,c),c)),c))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c)),c)),(L,(L,c),c)),(L,c))),(L,(L,(L,(L,(L,c),c)),c))),(L,(L,c,(L,c)))),(L,c))),(L,c)),(L,(L,(L,(L,(L,c),c)),c))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c)),c)),(L,(L,c),c)),(L,c))),(L,(L,(L,(L,(L,c),c)),c))),(L,(L,c,(L,c)))),(L,c))),(L,c)),(L,(L,(L,(L,(L,c),c)),c)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c)),c)),(L,(L,c),c)),(L,c))),(L,(L,(L,(L,(L,c),c)),c))),(L,(L,c,(L,c)))),(L,c))),(L,c)),(L,(L,(L,(L,(L,c),c)),c))) is M2( the carrier of L)
(L,(L,(L,(L,(L,c,(L,c))),(L,(L,(L,(L,(L,c),c)),c)))),(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c)),c)),(L,(L,c),c)),(L,c))),(L,(L,(L,(L,(L,c),c)),c))),(L,(L,c,(L,c)))),(L,c))),(L,c)),(L,(L,(L,(L,(L,c),c)),c))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,c,(L,c))),(L,(L,(L,(L,(L,c),c)),c)))),(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c)),c)),(L,(L,c),c)),(L,c))),(L,(L,(L,(L,(L,c),c)),c))),(L,(L,c,(L,c)))),(L,c))),(L,c)),(L,(L,(L,(L,(L,c),c)),c))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,c,(L,c))),(L,(L,(L,(L,(L,c),c)),c)))),(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c)),c)),(L,(L,c),c)),(L,c))),(L,(L,(L,(L,(L,c),c)),c))),(L,(L,c,(L,c)))),(L,c))),(L,c)),(L,(L,(L,(L,(L,c),c)),c)))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,c,(L,c))),(L,(L,(L,(L,(L,c),c)),c)))),(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c)),c)),(L,(L,c),c)),(L,c))),(L,(L,(L,(L,(L,c),c)),c))),(L,(L,c,(L,c)))),(L,c))),(L,c)),(L,(L,(L,(L,(L,c),c)),c))))) is M2( the carrier of L)
(L,(L,(L,c),c),(L,(L,(L,(L,(L,c),c)),c))) is M2( the carrier of L)
the L_join of L . ((L,(L,c),c),(L,(L,(L,(L,(L,c),c)),c))) is M2( the carrier of L)
(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,c),c)),c))),(L,c)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,c),c),(L,(L,(L,(L,(L,c),c)),c))),(L,c)) is M2( the carrier of L)
(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,c),c)),c))),(L,c))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,c),c)),c))),(L,c)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,c),c)),c))),(L,c))),(L,(L,(L,(L,(L,c),c)),c))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,c),c)),c))),(L,c))),(L,(L,(L,(L,(L,c),c)),c))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,c),c)),c))),(L,c))),(L,(L,(L,(L,(L,c),c)),c))),(L,c)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,c),c)),c))),(L,c))),(L,(L,(L,(L,(L,c),c)),c))),(L,c)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,c),c)),c))),(L,c))),(L,(L,(L,(L,(L,c),c)),c))),(L,c)),(L,(L,c,(L,c)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,c),c)),c))),(L,c))),(L,(L,(L,(L,(L,c),c)),c))),(L,c)),(L,(L,c,(L,c)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,c),c)),c))),(L,c))),(L,(L,(L,(L,(L,c),c)),c))),(L,c)),(L,(L,c,(L,c))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,c),c)),c))),(L,c))),(L,(L,(L,(L,(L,c),c)),c))),(L,c)),(L,(L,c,(L,c)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,c),c)),c))),(L,c))),(L,(L,(L,(L,(L,c),c)),c))),(L,c)),(L,(L,c,(L,c))))),(L,c)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,c),c)),c))),(L,c))),(L,(L,(L,(L,(L,c),c)),c))),(L,c)),(L,(L,c,(L,c))))),(L,c)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,c),c)),c))),(L,c))),(L,(L,(L,(L,(L,c),c)),c))),(L,c)),(L,(L,c,(L,c))))),(L,c)),(L,(L,(L,(L,(L,c),c)),c))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,c),c)),c))),(L,c))),(L,(L,(L,(L,(L,c),c)),c))),(L,c)),(L,(L,c,(L,c))))),(L,c)),(L,(L,(L,(L,(L,c),c)),c))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,c),c)),c))),(L,c))),(L,(L,(L,(L,(L,c),c)),c))),(L,c)),(L,(L,c,(L,c))))),(L,c)),(L,(L,(L,(L,(L,c),c)),c)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,c),c)),c))),(L,c))),(L,(L,(L,(L,(L,c),c)),c))),(L,c)),(L,(L,c,(L,c))))),(L,c)),(L,(L,(L,(L,(L,c),c)),c))) is M2( the carrier of L)
(L,(L,(L,(L,(L,c,(L,c))),(L,(L,(L,(L,(L,c),c)),c)))),(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,c),c)),c))),(L,c))),(L,(L,(L,(L,(L,c),c)),c))),(L,c)),(L,(L,c,(L,c))))),(L,c)),(L,(L,(L,(L,(L,c),c)),c))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,c,(L,c))),(L,(L,(L,(L,(L,c),c)),c)))),(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,c),c)),c))),(L,c))),(L,(L,(L,(L,(L,c),c)),c))),(L,c)),(L,(L,c,(L,c))))),(L,c)),(L,(L,(L,(L,(L,c),c)),c))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,c,(L,c))),(L,(L,(L,(L,(L,c),c)),c)))),(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,c),c)),c))),(L,c))),(L,(L,(L,(L,(L,c),c)),c))),(L,c)),(L,(L,c,(L,c))))),(L,c)),(L,(L,(L,(L,(L,c),c)),c)))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,c,(L,c))),(L,(L,(L,(L,(L,c),c)),c)))),(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,c),c)),c))),(L,c))),(L,(L,(L,(L,(L,c),c)),c))),(L,c)),(L,(L,c,(L,c))))),(L,c)),(L,(L,(L,(L,(L,c),c)),c))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,c),c)),c))),(L,c))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,c),c)),c))),(L,c))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,c),c)),c))),(L,c))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))),(L,(L,c,(L,c)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,c),c)),c))),(L,c))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))),(L,(L,c,(L,c)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,c),c)),c))),(L,c))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))),(L,(L,c,(L,c))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,c),c)),c))),(L,c))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))),(L,(L,c,(L,c)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,c),c)),c))),(L,c))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))),(L,(L,c,(L,c))))),(L,c)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,c),c)),c))),(L,c))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))),(L,(L,c,(L,c))))),(L,c)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,c),c)),c))),(L,c))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))),(L,(L,c,(L,c))))),(L,c)),(L,(L,(L,(L,(L,c),c)),c))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,c),c)),c))),(L,c))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))),(L,(L,c,(L,c))))),(L,c)),(L,(L,(L,(L,(L,c),c)),c))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,c),c)),c))),(L,c))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))),(L,(L,c,(L,c))))),(L,c)),(L,(L,(L,(L,(L,c),c)),c)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,c),c)),c))),(L,c))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))),(L,(L,c,(L,c))))),(L,c)),(L,(L,(L,(L,(L,c),c)),c))) is M2( the carrier of L)
(L,(L,(L,(L,(L,c,(L,c))),(L,(L,(L,(L,(L,c),c)),c)))),(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,c),c)),c))),(L,c))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))),(L,(L,c,(L,c))))),(L,c)),(L,(L,(L,(L,(L,c),c)),c))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,c,(L,c))),(L,(L,(L,(L,(L,c),c)),c)))),(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,c),c)),c))),(L,c))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))),(L,(L,c,(L,c))))),(L,c)),(L,(L,(L,(L,(L,c),c)),c))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,c,(L,c))),(L,(L,(L,(L,(L,c),c)),c)))),(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,c),c)),c))),(L,c))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))),(L,(L,c,(L,c))))),(L,c)),(L,(L,(L,(L,(L,c),c)),c)))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,c,(L,c))),(L,(L,(L,(L,(L,c),c)),c)))),(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,c),c)),c))),(L,c))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))),(L,(L,c,(L,c))))),(L,c)),(L,(L,(L,(L,(L,c),c)),c))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))),(L,(L,c,(L,c)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))),(L,(L,c,(L,c)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))),(L,(L,c,(L,c))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))),(L,(L,c,(L,c)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))),(L,(L,c,(L,c))))),(L,c)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))),(L,(L,c,(L,c))))),(L,c)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))),(L,(L,c,(L,c))))),(L,c)),(L,(L,(L,(L,(L,c),c)),c))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))),(L,(L,c,(L,c))))),(L,c)),(L,(L,(L,(L,(L,c),c)),c))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))),(L,(L,c,(L,c))))),(L,c)),(L,(L,(L,(L,(L,c),c)),c)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))),(L,(L,c,(L,c))))),(L,c)),(L,(L,(L,(L,(L,c),c)),c))) is M2( the carrier of L)
(L,(L,(L,(L,(L,c,(L,c))),(L,(L,(L,(L,(L,c),c)),c)))),(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))),(L,(L,c,(L,c))))),(L,c)),(L,(L,(L,(L,(L,c),c)),c))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,c,(L,c))),(L,(L,(L,(L,(L,c),c)),c)))),(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))),(L,(L,c,(L,c))))),(L,c)),(L,(L,(L,(L,(L,c),c)),c))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,c,(L,c))),(L,(L,(L,(L,(L,c),c)),c)))),(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))),(L,(L,c,(L,c))))),(L,c)),(L,(L,(L,(L,(L,c),c)),c)))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,c,(L,c))),(L,(L,(L,(L,(L,c),c)),c)))),(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))),(L,(L,c,(L,c))))),(L,c)),(L,(L,(L,(L,(L,c),c)),c))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))),(L,(L,c,(L,c))))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))),(L,(L,c,(L,c))))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))),(L,(L,c,(L,c))))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))),(L,(L,c,(L,c))))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))) is M2( the carrier of L)
(L,(L,(L,(L,(L,c,(L,c))),(L,(L,(L,(L,(L,c),c)),c)))),(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))),(L,(L,c,(L,c))))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,c,(L,c))),(L,(L,(L,(L,(L,c),c)),c)))),(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))),(L,(L,c,(L,c))))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,c,(L,c))),(L,(L,(L,(L,(L,c),c)),c)))),(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))),(L,(L,c,(L,c))))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,c,(L,c))),(L,(L,(L,(L,(L,c),c)),c)))),(L,(L,(L,(L,(L,(L,(L,(L,(L,c),c),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c)))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))),(L,(L,c,(L,c))))),(L,(L,(L,(L,(L,(L,c),c)),c)),(L,c))))) is M2( the carrier of L)
(L,(L,(L,(L,c),c)),(L,(L,(L,(L,(L,c),c)),c))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,c),c)),(L,(L,(L,(L,(L,c),c)),c))) is M2( the carrier of L)
(L,(L,(L,(L,(L,c),c)),(L,(L,(L,(L,(L,c),c)),c)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,c),c)),(L,(L,(L,(L,(L,c),c)),c))) is M2( the carrier of L)
(L,(L,(L,c),c),(L,c)) is M2( the carrier of L)
the L_join of L . ((L,(L,c),c),(L,c)) is M2( the carrier of L)
(L,(L,(L,(L,c),c),(L,c)),(L,(L,(L,(L,(L,c),c)),c))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,c),c),(L,c)),(L,(L,(L,(L,(L,c),c)),c))) is M2( the carrier of L)
(L,(L,(L,(L,(L,c),c),(L,c)),(L,(L,(L,(L,(L,c),c)),c)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,c),c),(L,c)),(L,(L,(L,(L,(L,c),c)),c))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,c),c)),(L,(L,(L,(L,(L,c),c)),c)))),(L,(L,(L,(L,(L,c),c),(L,c)),(L,(L,(L,(L,(L,c),c)),c))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,c),c)),(L,(L,(L,(L,(L,c),c)),c)))),(L,(L,(L,(L,(L,c),c),(L,c)),(L,(L,(L,(L,(L,c),c)),c))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,c),c)),(L,(L,(L,(L,(L,c),c)),c)))),(L,(L,(L,(L,(L,c),c),(L,c)),(L,(L,(L,(L,(L,c),c)),c)))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,c),c)),(L,(L,(L,(L,(L,c),c)),c)))),(L,(L,(L,(L,(L,c),c),(L,c)),(L,(L,(L,(L,(L,c),c)),c))))) is M2( the carrier of L)
(L,(L,(L,(L,c),(L,c)),c),(L,(L,(L,(L,(L,c),c)),c))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,c),(L,c)),c),(L,(L,(L,(L,(L,c),c)),c))) is M2( the carrier of L)
(L,(L,(L,(L,(L,c),(L,c)),c),(L,(L,(L,(L,(L,c),c)),c)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,c),(L,c)),c),(L,(L,(L,(L,(L,c),c)),c))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,c),c)),(L,(L,(L,(L,(L,c),c)),c)))),(L,(L,(L,(L,(L,c),(L,c)),c),(L,(L,(L,(L,(L,c),c)),c))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,c),c)),(L,(L,(L,(L,(L,c),c)),c)))),(L,(L,(L,(L,(L,c),(L,c)),c),(L,(L,(L,(L,(L,c),c)),c))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,c),c)),(L,(L,(L,(L,(L,c),c)),c)))),(L,(L,(L,(L,(L,c),(L,c)),c),(L,(L,(L,(L,(L,c),c)),c)))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,c),c)),(L,(L,(L,(L,(L,c),c)),c)))),(L,(L,(L,(L,(L,c),(L,c)),c),(L,(L,(L,(L,(L,c),c)),c))))) is M2( the carrier of L)
L9 is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
L9 "\/" L9 is M2( the carrier of L)
the L_join of L . (L9,L9) is M2( the carrier of L)
(L,(L,L9),L9) is M2( the carrier of L)
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,(L,(L,L9),L9)) is M2( the carrier of L)
the of L . (L,(L,L9),L9) is M2( the carrier of L)
(L,(L,(L,(L,L9),L9)),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),L9)),L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9),L9)),L9)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,L9),L9)),L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))) is M2( the carrier of L)
(L,(L,L9),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9)),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,L9),(L,L9)),L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),L9)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),L9)),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),L9)),(L,L9)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),L9)),(L,L9))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),L9)),(L,L9)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),L9)),(L,L9))),(L,(L,(L,(L,(L,L9),L9)),L9))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),L9)),(L,L9))),(L,(L,(L,(L,(L,L9),L9)),L9))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),L9)),(L,L9))),(L,(L,(L,(L,(L,L9),L9)),L9))),(L,(L,(L,L9),L9))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),L9)),(L,L9))),(L,(L,(L,(L,(L,L9),L9)),L9))),(L,(L,(L,L9),L9))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),L9)),(L,L9))),(L,(L,(L,(L,(L,L9),L9)),L9))),(L,(L,(L,L9),L9)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),L9)),(L,L9))),(L,(L,(L,(L,(L,L9),L9)),L9))),(L,(L,(L,L9),L9))) is M2( the carrier of L)
(L,L9,(L,(L,(L,L9),L9))) is M2( the carrier of L)
the L_join of L . (L9,(L,(L,(L,L9),L9))) is M2( the carrier of L)
(L,(L,L9,(L,(L,(L,L9),L9)))) is M2( the carrier of L)
the of L . (L,L9,(L,(L,(L,L9),L9))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),L9)),(L,L9))),(L,(L,(L,(L,(L,L9),L9)),L9))),(L,(L,(L,L9),L9)))),(L,(L,L9,(L,(L,(L,L9),L9))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),L9)),(L,L9))),(L,(L,(L,(L,(L,L9),L9)),L9))),(L,(L,(L,L9),L9)))),(L,(L,L9,(L,(L,(L,L9),L9))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),L9)),(L,L9))),(L,(L,(L,(L,(L,L9),L9)),L9))),(L,(L,(L,L9),L9)))),(L,(L,L9,(L,(L,(L,L9),L9)))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),L9)),(L,L9))),(L,(L,(L,(L,(L,L9),L9)),L9))),(L,(L,(L,L9),L9)))),(L,(L,L9,(L,(L,(L,L9),L9))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),L9)),(L,L9))),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),L9)),(L,L9))),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),L9)),(L,L9))),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),L9)),(L,L9))),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),L9)),(L,L9))),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))))),(L,(L,L9,(L,(L,(L,L9),L9))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),L9)),(L,L9))),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))))),(L,(L,L9,(L,(L,(L,L9),L9))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),L9)),(L,L9))),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))))),(L,(L,L9,(L,(L,(L,L9),L9)))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),L9)),(L,L9))),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))))),(L,(L,L9,(L,(L,(L,L9),L9))))) is M2( the carrier of L)
(L,(L,(L,L9),L9),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9),L9),(L,L9)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9),(L,L9))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9),(L,L9))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9),(L,L9)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9),(L,L9))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9),(L,L9)))),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9),(L,L9)))),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9),(L,L9)))),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9),(L,L9)))),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9),(L,L9)))),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))))),(L,(L,L9,(L,(L,(L,L9),L9))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9),(L,L9)))),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))))),(L,(L,L9,(L,(L,(L,L9),L9))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9),(L,L9)))),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))))),(L,(L,L9,(L,(L,(L,L9),L9)))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9),(L,L9)))),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))))),(L,(L,L9,(L,(L,(L,L9),L9))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9))),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9))),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9))),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9))),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9))),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))))),(L,(L,L9,(L,(L,(L,L9),L9))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9))),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))))),(L,(L,L9,(L,(L,(L,L9),L9))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9))),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))))),(L,(L,L9,(L,(L,(L,L9),L9)))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9))),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))))),(L,(L,L9,(L,(L,(L,L9),L9))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9)))),(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9)))),(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9)))),(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9)))),(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))),(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))),(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))),(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))),(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9)))),(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9))))),(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))),(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9)))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9)))),(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9))))),(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))),(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9)))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9)))),(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9))))),(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))),(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9))))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9)))),(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9))))),(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))),(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9)))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))),(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9)))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))),(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9)))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))),(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9))))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))),(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9)))))) is M2( the carrier of L)
L9 is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
L9 "\/" L9 is M2( the carrier of L)
the L_join of L . (L9,L9) is M2( the carrier of L)
(L,(L,L9),L9) is M2( the carrier of L)
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,(L,(L,L9),L9)) is M2( the carrier of L)
the of L . (L,(L,L9),L9) is M2( the carrier of L)
(L,(L,(L,(L,L9),L9)),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),L9)),L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9),L9)),L9)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,L9),L9)),L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),L9)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),L9)),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),L9)),L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),L9)),L9)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),L9)),L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),L9)),L9)),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),L9)),L9)),L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),L9)),L9)),L9)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),L9)),L9)),L9) is M2( the carrier of L)
(L,(L,(L,L9),L9),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,L9),L9),L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9),L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9),L9)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9),L9))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9),L9)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9),L9))),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9),L9))),L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9),L9))),L9)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9),L9))),L9) is M2( the carrier of L)
(L,(L,L9),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),(L,L9))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),(L,L9))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),(L,L9)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),(L,L9))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),(L,L9)))),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),(L,L9)))),L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),(L,L9)))),L9)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),(L,L9)))),L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),(L,L9))),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),(L,L9))),L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),(L,L9))),L9)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),(L,L9))),L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),(L,L9)))),L9)),(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),(L,L9))),L9))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),(L,L9)))),L9)),(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),(L,L9))),L9))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),(L,L9)))),L9)),(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),(L,L9))),L9)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),(L,L9)))),L9)),(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),(L,L9))),L9))) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9)),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,L9),(L,L9)),L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),(L,L9)))),L9)),(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),(L,L9)))),L9)),(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),(L,L9)))),L9)),(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,L9),(L,L9)))),L9)),(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))) is M2( the carrier of L)
x is M2( the carrier of L)
L9 is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
L9 "\/" L9 is M2( the carrier of L)
the L_join of L . (L9,L9) is M2( the carrier of L)
(L,(L,L9),L9) is M2( the carrier of L)
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,(L,(L,L9),L9)) is M2( the carrier of L)
the of L . (L,(L,L9),L9) is M2( the carrier of L)
(L,(L,(L,(L,L9),L9)),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),L9)),L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9),L9)),L9)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,L9),L9)),L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9)))),x) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9)))),x) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9)))),x)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9)))),x) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))),x) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))),x) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))),x)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))),x) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9)))),x)),(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))),x))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9)))),x)),(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))),x))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9)))),x)),(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))),x)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9)))),x)),(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))),x))) is M2( the carrier of L)
(L,L9,x) is M2( the carrier of L)
the L_join of L . (L9,x) is M2( the carrier of L)
(L,(L,L9,x)) is M2( the carrier of L)
the of L . (L,L9,x) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))),x)),(L,(L,L9,x))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))),x)),(L,(L,L9,x))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))),x)),(L,(L,L9,x)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))),x)),(L,(L,L9,x))) is M2( the carrier of L)
L9 is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
L9 "\/" L9 is M2( the carrier of L)
the L_join of L . (L9,L9) is M2( the carrier of L)
(L,(L,L9),L9) is M2( the carrier of L)
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,(L,(L,L9),L9)) is M2( the carrier of L)
the of L . (L,(L,L9),L9) is M2( the carrier of L)
(L,(L,(L,(L,L9),L9)),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),L9)),L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9),L9)),L9)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,L9),L9)),L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9),L9)),L9)),(L,L9)) is M2( the carrier of L)
(L,(L,(L,(L,L9),L9)),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,L9))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),L9)),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,L9))) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9),L9)),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,L9)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,L9),L9)),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,L9))) is M2( the carrier of L)
(L,(L,(L,L9),L9),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,L9))) is M2( the carrier of L)
the L_join of L . ((L,(L,L9),L9),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,L9))) is M2( the carrier of L)
(L,(L,(L,(L,L9),L9),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,L9)))) is M2( the carrier of L)
the of L . (L,(L,(L,L9),L9),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,L9))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9),L9)),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,L9)))),(L,(L,(L,(L,L9),L9),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,L9))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9),L9)),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,L9)))),(L,(L,(L,(L,L9),L9),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,L9))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9),L9)),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,L9)))),(L,(L,(L,(L,L9),L9),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,L9)))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,L9),L9)),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,L9)))),(L,(L,(L,(L,L9),L9),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,L9))))) is M2( the carrier of L)
(L,(L,(L,L9),L9),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,L9),L9),(L,L9)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9),(L,L9))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9),(L,L9))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9),(L,L9)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9),(L,L9))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9),L9)),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,L9)))),(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9),(L,L9))))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9),L9)),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,L9)))),(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9),(L,L9))))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9),L9)),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,L9)))),(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9),(L,L9)))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,L9),L9)),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,L9)))),(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9),(L,L9))))) is M2( the carrier of L)
(L,(L,L9),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,L9),(L,L9)) is M2( the carrier of L)
(L,(L,(L,L9),(L,L9)),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,L9),(L,L9)),L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9),L9)),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,L9)))),(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9),L9)),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,L9)))),(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9),L9)),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,L9)))),(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,L9),L9)),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,L9)))),(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),(L,L9)),L9)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9),L9)),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,L9)))),(L,(L,(L,L9),L9))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9),L9)),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,L9)))),(L,(L,(L,L9),L9))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9),L9)),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,L9)))),(L,(L,(L,L9),L9)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,L9),L9)),(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,L9)))),(L,(L,(L,L9),L9))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))),(L,L9)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))),(L,L9))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))),(L,L9)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))),(L,L9))),(L,(L,(L,L9),L9))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))),(L,L9))),(L,(L,(L,L9),L9))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))),(L,L9))),(L,(L,(L,L9),L9)))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))),(L,L9))),(L,(L,(L,L9),L9))) is M2( the carrier of L)
L9 is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
L9 "\/" L9 is M2( the carrier of L)
the L_join of L . (L9,L9) is M2( the carrier of L)
(L,(L,L9),L9) is M2( the carrier of L)
the L_join of L . ((L,L9),L9) is M2( the carrier of L)
(L,(L,(L,L9),L9)) is M2( the carrier of L)
the of L . (L,(L,L9),L9) is M2( the carrier of L)
(L,(L,(L,(L,L9),L9)),L9) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,L9),L9)),L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,L9),L9)),L9)) is M2( the carrier of L)
the of L . (L,(L,(L,(L,L9),L9)),L9) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))),(L,L9)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))),(L,L9))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))),(L,L9)) is M2( the carrier of L)
(L,L9,(L,L9)) is M2( the carrier of L)
the L_join of L . (L9,(L,L9)) is M2( the carrier of L)
(L,(L,L9,(L,L9))) is M2( the carrier of L)
the of L . (L,L9,(L,L9)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))),(L,L9))),(L,(L,L9,(L,L9)))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))),(L,L9))),(L,(L,L9,(L,L9)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))),(L,L9))),(L,(L,L9,(L,L9))))) is M2( the carrier of L)
the of L . (L,(L,(L,(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,(L,(L,L9),L9))),(L,L9))),(L,(L,L9,(L,L9)))) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L,L9),L9)),L9)),(L,L9)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L,L9),L9)),L9)),(L,L9)) is M2( the carrier of L)
the M2( the carrier of L) is M2( the carrier of L)
(L, the M2( the carrier of L)) is M2( the carrier of L)
the M2( the carrier of L) "\/" the M2( the carrier of L) is M2( the carrier of L)
the L_join of L . ( the M2( the carrier of L), the M2( the carrier of L)) is M2( the carrier of L)
(L,(L, the M2( the carrier of L)), the M2( the carrier of L)) is M2( the carrier of L)
the L_join of L . ((L, the M2( the carrier of L)), the M2( the carrier of L)) is M2( the carrier of L)
(L,(L,(L, the M2( the carrier of L)), the M2( the carrier of L))) is M2( the carrier of L)
the of L . (L,(L, the M2( the carrier of L)), the M2( the carrier of L)) is M2( the carrier of L)
(L,(L,(L,(L, the M2( the carrier of L)), the M2( the carrier of L))), the M2( the carrier of L)) is M2( the carrier of L)
the L_join of L . ((L,(L,(L, the M2( the carrier of L)), the M2( the carrier of L))), the M2( the carrier of L)) is M2( the carrier of L)
(L,(L,(L,(L,(L, the M2( the carrier of L)), the M2( the carrier of L))), the M2( the carrier of L))) is M2( the carrier of L)
the of L . (L,(L,(L,(L, the M2( the carrier of L)), the M2( the carrier of L))), the M2( the carrier of L)) is M2( the carrier of L)
(L,(L,(L,(L,(L,(L, the M2( the carrier of L)), the M2( the carrier of L))), the M2( the carrier of L))),(L, the M2( the carrier of L))) is M2( the carrier of L)
the L_join of L . ((L,(L,(L,(L,(L, the M2( the carrier of L)), the M2( the carrier of L))), the M2( the carrier of L))),(L, the M2( the carrier of L))) is M2( the carrier of L)
L is non empty join-commutative join-associative ()
the carrier of L is V11() set
L9 is M2( the carrier of L)
x is M2( the carrier of L)
(L,L9,x) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . (L9,x) is M2( the carrier of L)
L is non empty ()
(L) is non empty () ()
the carrier of (L) is V11() set
L9 is M2( the carrier of (L))
x is M2( the carrier of (L))
L9 "/\" x is M2( the carrier of (L))
the L_meet of (L) is V1() V4(K20( the carrier of (L), the carrier of (L))) V5( the carrier of (L)) V6() V18(K20( the carrier of (L), the carrier of (L)), the carrier of (L)) M2(K19(K20(K20( the carrier of (L), the carrier of (L)), the carrier of (L))))
K20( the carrier of (L), the carrier of (L)) is set
K20(K20( the carrier of (L), the carrier of (L)), the carrier of (L)) is set
K19(K20(K20( the carrier of (L), the carrier of (L)), the carrier of (L))) is set
the L_meet of (L) . (L9,x) is M2( the carrier of (L))
((L),L9) is M2( the carrier of (L))
the of (L) is V1() V4( the carrier of (L)) V5( the carrier of (L)) V6() V18( the carrier of (L), the carrier of (L)) M2(K19(K20( the carrier of (L), the carrier of (L))))
K19(K20( the carrier of (L), the carrier of (L))) is set
the of (L) . L9 is M2( the carrier of (L))
((L),x) is M2( the carrier of (L))
the of (L) . x is M2( the carrier of (L))
((L),L9) "\/" ((L),x) is M2( the carrier of (L))
the L_join of (L) is V1() V4(K20( the carrier of (L), the carrier of (L))) V5( the carrier of (L)) V6() V18(K20( the carrier of (L), the carrier of (L)), the carrier of (L)) M2(K19(K20(K20( the carrier of (L), the carrier of (L)), the carrier of (L))))
the L_join of (L) . (((L),L9),((L),x)) is M2( the carrier of (L))
((L),(((L),L9) "\/" ((L),x))) is M2( the carrier of (L))
the of (L) . (((L),L9) "\/" ((L),x)) is M2( the carrier of (L))
the carrier of L is V11() set
y is M2( the carrier of L)
(L,y) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . y is M2( the carrier of L)
c is M2( the carrier of L)
(L,c) is M2( the carrier of L)
the of L . c is M2( the carrier of L)
(L,y) "\/" (L,c) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,y),(L,c)) is M2( the carrier of L)
(L,y,c) is M2( the carrier of L)
(L,((L,y) "\/" (L,c))) is M2( the carrier of L)
the of L . ((L,y) "\/" (L,c)) is M2( the carrier of L)
L is non empty join-commutative meet-commutative () ()
the carrier of L is V11() set
Top L is M2( the carrier of L)
Bottom L is M2( the carrier of L)
L9 is M2( the carrier of L)
(L,L9) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . L9 is M2( the carrier of L)
(L,L9,(L,L9)) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . (L9,(L,L9)) is M2( the carrier of L)
L9 "/\" (L,L9) is M2( the carrier of L)
the L_meet of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
the L_meet of L . (L9,(L,L9)) is M2( the carrier of L)
L is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like distributive modular lower-bounded upper-bounded bounded () ()
Top L is M2( the carrier of L)
the carrier of L is V11() set
(L,(Top L)) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . (Top L) is M2( the carrier of L)
Bottom L is M2( the carrier of L)
the M2( the carrier of L) is M2( the carrier of L)
(L, the M2( the carrier of L)) is M2( the carrier of L)
the of L . the M2( the carrier of L) is M2( the carrier of L)
(L,(L, the M2( the carrier of L))) is M2( the carrier of L)
the of L . (L, the M2( the carrier of L)) is M2( the carrier of L)
(L,(L,(L, the M2( the carrier of L))),(L, the M2( the carrier of L))) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative idempotent M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,(L, the M2( the carrier of L))),(L, the M2( the carrier of L))) is M2( the carrier of L)
(L,(L,(L,(L, the M2( the carrier of L))),(L, the M2( the carrier of L)))) is M2( the carrier of L)
the of L . (L,(L,(L, the M2( the carrier of L))),(L, the M2( the carrier of L))) is M2( the carrier of L)
(L, the M2( the carrier of L)) "/\" the M2( the carrier of L) is M2( the carrier of L)
the L_meet of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative idempotent M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
the L_meet of L . ((L, the M2( the carrier of L)), the M2( the carrier of L)) is M2( the carrier of L)
the carrier of () is V11() V12() V31() 1 -element set
L is M2( the carrier of ())
L9 is M2( the carrier of ())
L "/\" L9 is M2( the carrier of ())
the L_meet of () is V1() V4(K20( the carrier of (), the carrier of ())) V5( the carrier of ()) V6() V18(K20( the carrier of (), the carrier of ()), the carrier of ()) commutative associative idempotent M2(K19(K20(K20( the carrier of (), the carrier of ()), the carrier of ())))
K20( the carrier of (), the carrier of ()) is set
K20(K20( the carrier of (), the carrier of ()), the carrier of ()) is set
K19(K20(K20( the carrier of (), the carrier of ()), the carrier of ())) is set
the L_meet of () . (L,L9) is M2( the carrier of ())
((),L) is M2( the carrier of ())
the of () is V1() V4( the carrier of ()) V5( the carrier of ()) V6() V18( the carrier of (), the carrier of ()) M2(K19(K20( the carrier of (), the carrier of ())))
K19(K20( the carrier of (), the carrier of ())) is set
the of () . L is M2( the carrier of ())
((),L9) is M2( the carrier of ())
the of () . L9 is M2( the carrier of ())
((),L) "\/" ((),L9) is M2( the carrier of ())
the L_join of () is V1() V4(K20( the carrier of (), the carrier of ())) V5( the carrier of ()) V6() V18(K20( the carrier of (), the carrier of ()), the carrier of ()) commutative associative idempotent M2(K19(K20(K20( the carrier of (), the carrier of ()), the carrier of ())))
the L_join of () . (((),L),((),L9)) is M2( the carrier of ())
((),(((),L) "\/" ((),L9))) is M2( the carrier of ())
the of () . (((),L) "\/" ((),L9)) is M2( the carrier of ())
L is non empty ()
the carrier of L is V11() set
x is M2( the carrier of L)
y is M2( the carrier of L)
x "/\" y is M2( the carrier of L)
the L_meet of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_meet of L . (x,y) is M2( the carrier of L)
y "/\" x is M2( the carrier of L)
the L_meet of L . (y,x) is M2( the carrier of L)
L9 is non empty join-commutative join-associative () ()
the carrier of L9 is V11() set
c is M2( the carrier of L9)
a9 is M2( the carrier of L9)
(L9,c,a9) is M2( the carrier of L9)
(L9,c) is M2( the carrier of L9)
the of L9 is V1() V4( the carrier of L9) V5( the carrier of L9) V6() V18( the carrier of L9, the carrier of L9) M2(K19(K20( the carrier of L9, the carrier of L9)))
K20( the carrier of L9, the carrier of L9) is set
K19(K20( the carrier of L9, the carrier of L9)) is set
the of L9 . c is M2( the carrier of L9)
(L9,a9) is M2( the carrier of L9)
the of L9 . a9 is M2( the carrier of L9)
(L9,c) "\/" (L9,a9) is M2( the carrier of L9)
the L_join of L9 is V1() V4(K20( the carrier of L9, the carrier of L9)) V5( the carrier of L9) V6() V18(K20( the carrier of L9, the carrier of L9), the carrier of L9) commutative associative M2(K19(K20(K20( the carrier of L9, the carrier of L9), the carrier of L9)))
K20(K20( the carrier of L9, the carrier of L9), the carrier of L9) is set
K19(K20(K20( the carrier of L9, the carrier of L9), the carrier of L9)) is set
the L_join of L9 . ((L9,c),(L9,a9)) is M2( the carrier of L9)
(L9,((L9,c) "\/" (L9,a9))) is M2( the carrier of L9)
the of L9 . ((L9,c) "\/" (L9,a9)) is M2( the carrier of L9)
(L9,a9,c) is M2( the carrier of L9)
(L9,a9) "\/" (L9,c) is M2( the carrier of L9)
the L_join of L9 . ((L9,a9),(L9,c)) is M2( the carrier of L9)
(L9,((L9,a9) "\/" (L9,c))) is M2( the carrier of L9)
the of L9 . ((L9,a9) "\/" (L9,c)) is M2( the carrier of L9)
L is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like upper-bounded () () () ()
(L) is M2( the carrier of L)
the carrier of L is V11() set
Bottom L is M2( the carrier of L)
L9 is M2( the carrier of L)
x is M2( the carrier of L)
L9 "/\" x is M2( the carrier of L)
the L_meet of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative idempotent M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_meet of L . (L9,x) is M2( the carrier of L)
x "/\" L9 is M2( the carrier of L)
the L_meet of L . (x,L9) is M2( the carrier of L)
y is M2( the carrier of L)
(L,(L),y) is M2( the carrier of L)
(L,(L)) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K19(K20( the carrier of L, the carrier of L)) is set
the of L . (L) is M2( the carrier of L)
(L,y) is M2( the carrier of L)
the of L . y is M2( the carrier of L)
(L,(L)) "\/" (L,y) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative idempotent M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
the L_join of L . ((L,(L)),(L,y)) is M2( the carrier of L)
(L,((L,(L)) "\/" (L,y))) is M2( the carrier of L)
the of L . ((L,(L)) "\/" (L,y)) is M2( the carrier of L)
L is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like () ()
L9 is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like distributive modular lower-bounded upper-bounded bounded complemented Boolean ()
the carrier of L9 is V11() set
Top L9 is M2( the carrier of L9)
x is M2( the carrier of L9)
(Top L9) "/\" x is M2( the carrier of L9)
the L_meet of L9 is V1() V4(K20( the carrier of L9, the carrier of L9)) V5( the carrier of L9) V6() V18(K20( the carrier of L9, the carrier of L9), the carrier of L9) commutative associative idempotent M2(K19(K20(K20( the carrier of L9, the carrier of L9), the carrier of L9)))
K20( the carrier of L9, the carrier of L9) is set
K20(K20( the carrier of L9, the carrier of L9), the carrier of L9) is set
K19(K20(K20( the carrier of L9, the carrier of L9), the carrier of L9)) is set
the L_meet of L9 . ((Top L9),x) is M2( the carrier of L9)
the carrier of L is V11() set
x is M2( the carrier of L)
(L,x) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . x is M2( the carrier of L)
y is M2( the carrier of L)
(L,y) is M2( the carrier of L)
the of L . y is M2( the carrier of L)
(L,x) "\/" (L,y) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative idempotent M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . ((L,x),(L,y)) is M2( the carrier of L)
(L,((L,x) "\/" (L,y))) is M2( the carrier of L)
the of L . ((L,x) "\/" (L,y)) is M2( the carrier of L)
(L,x) "\/" y is M2( the carrier of L)
the L_join of L . ((L,x),y) is M2( the carrier of L)
(L,((L,x) "\/" y)) is M2( the carrier of L)
the of L . ((L,x) "\/" y) is M2( the carrier of L)
(L,((L,x) "\/" (L,y))) "\/" (L,((L,x) "\/" y)) is M2( the carrier of L)
the L_join of L . ((L,((L,x) "\/" (L,y))),(L,((L,x) "\/" y))) is M2( the carrier of L)
x "/\" y is M2( the carrier of L)
the L_meet of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative idempotent M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
the L_meet of L . (x,y) is M2( the carrier of L)
(L,(L,x),y) is M2( the carrier of L)
(L,(L,(L,x),y)) is M2( the carrier of L)
the of L . (L,(L,x),y) is M2( the carrier of L)
(L,(x "/\" y),(L,(L,(L,x),y))) is M2( the carrier of L)
the L_join of L . ((x "/\" y),(L,(L,(L,x),y))) is M2( the carrier of L)
(L,x,(L,(L,(L,x),y))) is M2( the carrier of L)
the L_join of L . (x,(L,(L,(L,x),y))) is M2( the carrier of L)
(L,y,(L,(L,(L,x),y))) is M2( the carrier of L)
the L_join of L . (y,(L,(L,(L,x),y))) is M2( the carrier of L)
(L,x,(L,(L,(L,x),y))) "/\" (L,y,(L,(L,(L,x),y))) is M2( the carrier of L)
the L_meet of L . ((L,x,(L,(L,(L,x),y))),(L,y,(L,(L,(L,x),y)))) is M2( the carrier of L)
(L,(L,y)) is M2( the carrier of L)
the of L . (L,y) is M2( the carrier of L)
(L,(L,x),(L,(L,y))) is M2( the carrier of L)
the L_join of L . ((L,x),(L,(L,y))) is M2( the carrier of L)
(L,(L,(L,x),(L,(L,y)))) is M2( the carrier of L)
the of L . (L,(L,x),(L,(L,y))) is M2( the carrier of L)
(L,x,(L,(L,(L,x),(L,(L,y))))) is M2( the carrier of L)
the L_join of L . (x,(L,(L,(L,x),(L,(L,y))))) is M2( the carrier of L)
(L,x,(L,(L,(L,x),(L,(L,y))))) "/\" (L,y,(L,(L,(L,x),y))) is M2( the carrier of L)
the L_meet of L . ((L,x,(L,(L,(L,x),(L,(L,y))))),(L,y,(L,(L,(L,x),y)))) is M2( the carrier of L)
x "/\" (L,y) is M2( the carrier of L)
the L_meet of L . (x,(L,y)) is M2( the carrier of L)
(L,x,(x "/\" (L,y))) is M2( the carrier of L)
the L_join of L . (x,(x "/\" (L,y))) is M2( the carrier of L)
(L,x,(x "/\" (L,y))) "/\" (L,y,(L,(L,(L,x),y))) is M2( the carrier of L)
the L_meet of L . ((L,x,(x "/\" (L,y))),(L,y,(L,(L,(L,x),y)))) is M2( the carrier of L)
x "/\" (L,y,(L,(L,(L,x),y))) is M2( the carrier of L)
the L_meet of L . (x,(L,y,(L,(L,(L,x),y)))) is M2( the carrier of L)
(L,y,(L,(L,(L,x),(L,(L,y))))) is M2( the carrier of L)
the L_join of L . (y,(L,(L,(L,x),(L,(L,y))))) is M2( the carrier of L)
x "/\" (L,y,(L,(L,(L,x),(L,(L,y))))) is M2( the carrier of L)
the L_meet of L . (x,(L,y,(L,(L,(L,x),(L,(L,y)))))) is M2( the carrier of L)
(L,y,(x "/\" (L,y))) is M2( the carrier of L)
the L_join of L . (y,(x "/\" (L,y))) is M2( the carrier of L)
x "/\" (L,y,(x "/\" (L,y))) is M2( the carrier of L)
the L_meet of L . (x,(L,y,(x "/\" (L,y)))) is M2( the carrier of L)
(L,y,x) is M2( the carrier of L)
the L_join of L . (y,x) is M2( the carrier of L)
(L,y,(L,y)) is M2( the carrier of L)
the L_join of L . (y,(L,y)) is M2( the carrier of L)
(L,y,x) "/\" (L,y,(L,y)) is M2( the carrier of L)
the L_meet of L . ((L,y,x),(L,y,(L,y))) is M2( the carrier of L)
x "/\" ((L,y,x) "/\" (L,y,(L,y))) is M2( the carrier of L)
the L_meet of L . (x,((L,y,x) "/\" (L,y,(L,y)))) is M2( the carrier of L)
x "/\" (L,y,x) is M2( the carrier of L)
the L_meet of L . (x,(L,y,x)) is M2( the carrier of L)
(x "/\" (L,y,x)) "/\" (L,y,(L,y)) is M2( the carrier of L)
the L_meet of L . ((x "/\" (L,y,x)),(L,y,(L,y))) is M2( the carrier of L)
x "/\" (L,y,(L,y)) is M2( the carrier of L)
the L_meet of L . (x,(L,y,(L,y))) is M2( the carrier of L)
Top L is M2( the carrier of L)
x "/\" (Top L) is M2( the carrier of L)
the L_meet of L . (x,(Top L)) is M2( the carrier of L)
L is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like () ()
L9 is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like upper-bounded () () ()
(L9) is M2( the carrier of L9)
the carrier of L9 is V11() set
the carrier of L is V11() set
y is M2( the carrier of L)
c is M2( the carrier of L)
y "/\" c is M2( the carrier of L)
the L_meet of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative idempotent M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_meet of L . (y,c) is M2( the carrier of L)
c "/\" y is M2( the carrier of L)
the L_meet of L . (c,y) is M2( the carrier of L)
y "/\" c is M2( the carrier of L)
a9 is M2( the carrier of L9)
(L9,(L9),a9) is M2( the carrier of L9)
(L9,(L9)) is M2( the carrier of L9)
the of L9 is V1() V4( the carrier of L9) V5( the carrier of L9) V6() V18( the carrier of L9, the carrier of L9) M2(K19(K20( the carrier of L9, the carrier of L9)))
K20( the carrier of L9, the carrier of L9) is set
K19(K20( the carrier of L9, the carrier of L9)) is set
the of L9 . (L9) is M2( the carrier of L9)
(L9,a9) is M2( the carrier of L9)
the of L9 . a9 is M2( the carrier of L9)
(L9,(L9)) "\/" (L9,a9) is M2( the carrier of L9)
the L_join of L9 is V1() V4(K20( the carrier of L9, the carrier of L9)) V5( the carrier of L9) V6() V18(K20( the carrier of L9, the carrier of L9), the carrier of L9) commutative associative idempotent M2(K19(K20(K20( the carrier of L9, the carrier of L9), the carrier of L9)))
K20(K20( the carrier of L9, the carrier of L9), the carrier of L9) is set
K19(K20(K20( the carrier of L9, the carrier of L9), the carrier of L9)) is set
the L_join of L9 . ((L9,(L9)),(L9,a9)) is M2( the carrier of L9)
(L9,((L9,(L9)) "\/" (L9,a9))) is M2( the carrier of L9)
the of L9 . ((L9,(L9)) "\/" (L9,a9)) is M2( the carrier of L9)
c "/\" y is M2( the carrier of L)
L9 is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like upper-bounded () () ()
the carrier of L is V11() set
x is M2( the carrier of L)
(L,x) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K19(K20( the carrier of L, the carrier of L)) is set
the of L . x is M2( the carrier of L)
y is M2( the carrier of L)
(L,y,x) is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative idempotent M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . (y,x) is M2( the carrier of L)
Top L is M2( the carrier of L)
x "\/" y is M2( the carrier of L)
the L_join of L . (x,y) is M2( the carrier of L)
y "/\" x is M2( the carrier of L)
the L_meet of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative idempotent M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
the L_meet of L . (y,x) is M2( the carrier of L)
Bottom L is M2( the carrier of L)
x "/\" y is M2( the carrier of L)
the L_meet of L . (x,y) is M2( the carrier of L)
(L,x,y) is M2( the carrier of L)
y "/\" x is M2( the carrier of L)
(L,y) is M2( the carrier of L)
the of L . y is M2( the carrier of L)
(L,(L,y),(L,x)) is M2( the carrier of L)
the L_join of L . ((L,y),(L,x)) is M2( the carrier of L)
(L,(L,(L,y),(L,x))) is M2( the carrier of L)
the of L . (L,(L,y),(L,x)) is M2( the carrier of L)
(L9) is M2( the carrier of L9)
the carrier of L9 is V11() set
x "/\" y is M2( the carrier of L)
the carrier of L is V11() set
x is M2( the carrier of L)
y is M2( the carrier of L)
c is M2( the carrier of L)
y "\/" c is M2( the carrier of L)
the L_join of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative idempotent M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
K20( the carrier of L, the carrier of L) is set
K20(K20( the carrier of L, the carrier of L), the carrier of L) is set
K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)) is set
the L_join of L . (y,c) is M2( the carrier of L)
x "/\" (y "\/" c) is M2( the carrier of L)
the L_meet of L is V1() V4(K20( the carrier of L, the carrier of L)) V5( the carrier of L) V6() V18(K20( the carrier of L, the carrier of L), the carrier of L) commutative associative idempotent M2(K19(K20(K20( the carrier of L, the carrier of L), the carrier of L)))
the L_meet of L . (x,(y "\/" c)) is M2( the carrier of L)
x "/\" y is M2( the carrier of L)
the L_meet of L . (x,y) is M2( the carrier of L)
x "/\" c is M2( the carrier of L)
the L_meet of L . (x,c) is M2( the carrier of L)
(x "/\" y) "\/" (x "/\" c) is M2( the carrier of L)
the L_join of L . ((x "/\" y),(x "/\" c)) is M2( the carrier of L)
x "/\" y is M2( the carrier of L)
(L,x,y) is M2( the carrier of L)
(L,x) is M2( the carrier of L)
the of L is V1() V4( the carrier of L) V5( the carrier of L) V6() V18( the carrier of L, the carrier of L) M2(K19(K20( the carrier of L, the carrier of L)))
K19(K20( the carrier of L, the carrier of L)) is set
the of L . x is M2( the carrier of L)
(L,y) is M2( the carrier of L)
the of L . y is M2( the carrier of L)
(L,x) "\/" (L,y) is M2( the carrier of L)
the L_join of L . ((L,x),(L,y)) is M2( the carrier of L)
(L,((L,x) "\/" (L,y))) is M2( the carrier of L)
the of L . ((L,x) "\/" (L,y)) is M2( the carrier of L)
x "/\" c is M2( the carrier of L)
(L,x,c) is M2( the carrier of L)
(L,c) is M2( the carrier of L)
the of L . c is M2( the carrier of L)
(L,x) "\/" (L,c) is M2( the carrier of L)
the L_join of L . ((L,x),(L,c)) is M2( the carrier of L)
(L,((L,x) "\/" (L,c))) is M2( the carrier of L)
the of L . ((L,x) "\/" (L,c)) is M2( the carrier of L)
y "\/" c is M2( the carrier of L)
x "/\" (y "\/" c) is M2( the carrier of L)
the L_meet of L . (x,(y "\/" c)) is M2( the carrier of L)
(L,y,c) is M2( the carrier of L)
(L,x,(L,y,c)) is M2( the carrier of L)
(L,(L,y,c)) is M2( the carrier of L)
the of L . (L,y,c) is M2( the carrier of L)
(L,x) "\/" (L,(L,y,c)) is M2( the carrier of L)
the L_join of L . ((L,x),(L,(L,y,c))) is M2( the carrier of L)
(L,((L,x) "\/" (L,(L,y,c)))) is M2( the carrier of L)
the of L . ((L,x) "\/" (L,(L,y,c))) is M2( the carrier of L)
(x "/\" y) "\/" (x "/\" c) is M2( the carrier of L)
the L_join of L . ((x "/\" y),(x "/\" c)) is M2( the carrier of L)
L is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like ()
L is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like () ()
L9 is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like distributive modular lower-bounded upper-bounded bounded complemented Boolean () () () ()
the carrier of L9 is V11() set
x is M2( the carrier of L9)
y is M2( the carrier of L9)
(L9,x,y) is M2( the carrier of L9)
the L_join of L9 is V1() V4(K20( the carrier of L9, the carrier of L9)) V5( the carrier of L9) V6() V18(K20( the carrier of L9, the carrier of L9), the carrier of L9) commutative associative idempotent M2(K19(K20(K20( the carrier of L9, the carrier of L9), the carrier of L9)))
K20( the carrier of L9, the carrier of L9) is set
K20(K20( the carrier of L9, the carrier of L9), the carrier of L9) is set
K19(K20(K20( the carrier of L9, the carrier of L9), the carrier of L9)) is set
the L_join of L9 . (x,y) is M2( the carrier of L9)
(L9,(L9,x,y)) is M2( the carrier of L9)
the of L9 is V1() V4( the carrier of L9) V5( the carrier of L9) V6() V18( the carrier of L9, the carrier of L9) M2(K19(K20( the carrier of L9, the carrier of L9)))
K19(K20( the carrier of L9, the carrier of L9)) is set
the of L9 . (L9,x,y) is M2( the carrier of L9)
(L9,y) is M2( the carrier of L9)
the of L9 . y is M2( the carrier of L9)
(L9,x,(L9,y)) is M2( the carrier of L9)
the L_join of L9 . (x,(L9,y)) is M2( the carrier of L9)
(L9,(L9,x,(L9,y))) is M2( the carrier of L9)
the of L9 . (L9,x,(L9,y)) is M2( the carrier of L9)
(L9,(L9,(L9,x,y)),(L9,(L9,x,(L9,y)))) is M2( the carrier of L9)
the L_join of L9 . ((L9,(L9,x,y)),(L9,(L9,x,(L9,y)))) is M2( the carrier of L9)
(L9,(L9,(L9,(L9,x,y)),(L9,(L9,x,(L9,y))))) is M2( the carrier of L9)
the of L9 . (L9,(L9,(L9,x,y)),(L9,(L9,x,(L9,y)))) is M2( the carrier of L9)
(L9,x,y) "/\" (L9,x,(L9,y)) is M2( the carrier of L9)
the L_meet of L9 is V1() V4(K20( the carrier of L9, the carrier of L9)) V5( the carrier of L9) V6() V18(K20( the carrier of L9, the carrier of L9), the carrier of L9) commutative associative idempotent M2(K19(K20(K20( the carrier of L9, the carrier of L9), the carrier of L9)))
the L_meet of L9 . ((L9,x,y),(L9,x,(L9,y))) is M2( the carrier of L9)
(L9,x,y) "/\" x is M2( the carrier of L9)
the L_meet of L9 . ((L9,x,y),x) is M2( the carrier of L9)
(L9,x,y) "/\" (L9,y) is M2( the carrier of L9)
the L_meet of L9 . ((L9,x,y),(L9,y)) is M2( the carrier of L9)
(L9,((L9,x,y) "/\" x),((L9,x,y) "/\" (L9,y))) is M2( the carrier of L9)
the L_join of L9 . (((L9,x,y) "/\" x),((L9,x,y) "/\" (L9,y))) is M2( the carrier of L9)
x "/\" (L9,y) is M2( the carrier of L9)
the L_meet of L9 . (x,(L9,y)) is M2( the carrier of L9)
y "/\" (L9,y) is M2( the carrier of L9)
the L_meet of L9 . (y,(L9,y)) is M2( the carrier of L9)
(L9,(x "/\" (L9,y)),(y "/\" (L9,y))) is M2( the carrier of L9)
the L_join of L9 . ((x "/\" (L9,y)),(y "/\" (L9,y))) is M2( the carrier of L9)
(L9,((L9,x,y) "/\" x),(L9,(x "/\" (L9,y)),(y "/\" (L9,y)))) is M2( the carrier of L9)
the L_join of L9 . (((L9,x,y) "/\" x),(L9,(x "/\" (L9,y)),(y "/\" (L9,y)))) is M2( the carrier of L9)
(L9,(L9,y)) is M2( the carrier of L9)
the of L9 . (L9,y) is M2( the carrier of L9)
(L9,(L9,y),(L9,(L9,y))) is M2( the carrier of L9)
the L_join of L9 . ((L9,y),(L9,(L9,y))) is M2( the carrier of L9)
(L9,(L9,(L9,y),(L9,(L9,y)))) is M2( the carrier of L9)
the of L9 . (L9,(L9,y),(L9,(L9,y))) is M2( the carrier of L9)
(L9,(x "/\" (L9,y)),(L9,(L9,(L9,y),(L9,(L9,y))))) is M2( the carrier of L9)
the L_join of L9 . ((x "/\" (L9,y)),(L9,(L9,(L9,y),(L9,(L9,y))))) is M2( the carrier of L9)
(L9,((L9,x,y) "/\" x),(L9,(x "/\" (L9,y)),(L9,(L9,(L9,y),(L9,(L9,y)))))) is M2( the carrier of L9)
the L_join of L9 . (((L9,x,y) "/\" x),(L9,(x "/\" (L9,y)),(L9,(L9,(L9,y),(L9,(L9,y)))))) is M2( the carrier of L9)
(L9,x,(L9,(x "/\" (L9,y)),(L9,(L9,(L9,y),(L9,(L9,y)))))) is M2( the carrier of L9)
the L_join of L9 . (x,(L9,(x "/\" (L9,y)),(L9,(L9,(L9,y),(L9,(L9,y)))))) is M2( the carrier of L9)
(L9,x,(x "/\" (L9,y))) is M2( the carrier of L9)
the L_join of L9 . (x,(x "/\" (L9,y))) is M2( the carrier of L9)
(L9,(L9,x,(x "/\" (L9,y))),(L9,(L9,(L9,y),(L9,(L9,y))))) is M2( the carrier of L9)
the L_join of L9 . ((L9,x,(x "/\" (L9,y))),(L9,(L9,(L9,y),(L9,(L9,y))))) is M2( the carrier of L9)
(L9,x,(L9,(L9,(L9,y),(L9,(L9,y))))) is M2( the carrier of L9)
the L_join of L9 . (x,(L9,(L9,(L9,y),(L9,(L9,y))))) is M2( the carrier of L9)
Top L9 is M2( the carrier of L9)
(L9,(Top L9)) is M2( the carrier of L9)
the of L9 . (Top L9) is M2( the carrier of L9)
(L9,x,(L9,(Top L9))) is M2( the carrier of L9)
the L_join of L9 . (x,(L9,(Top L9))) is M2( the carrier of L9)
Bottom L9 is M2( the carrier of L9)
(L9,x,(Bottom L9)) is M2( the carrier of L9)
the L_join of L9 . (x,(Bottom L9)) is M2( the carrier of L9)