REAL is V1() V44() V50() V51() V52() V56() set
NAT is V50() V51() V52() V53() V54() V55() V56() Element of bool REAL
bool REAL is set
[:NAT,REAL:] is V33() V34() V35() set
bool [:NAT,REAL:] is set
COMPLEX is V1() V44() V50() V56() set
RAT is V1() V44() V50() V51() V52() V53() V56() set
INT is V1() V44() V50() V51() V52() V53() V54() V56() set
0 is V1() V50() V51() V52() V53() V54() V55() V56() set
1 is V1() V10() V11() V12() ext-real positive V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
K21(0,1) is V1() set
[:REAL,REAL:] is V33() V34() V35() set
bool [:REAL,REAL:] is set
K69(REAL,REAL) is set
[:NAT,K69(REAL,REAL):] is set
bool [:NAT,K69(REAL,REAL):] is set
[:NAT,COMPLEX:] is V33() set
bool [:NAT,COMPLEX:] is set
[:COMPLEX,COMPLEX:] is V33() set
bool [:COMPLEX,COMPLEX:] is set
NAT is V50() V51() V52() V53() V54() V55() V56() set
bool NAT is set
bool NAT is set
0 is V1() V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() V56() Element of NAT
K20(0) is V1() V50() V51() V52() V53() V54() V55() set
2 is V1() V10() V11() V12() ext-real positive V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
K41(1,2) is V1() V11() V12() ext-real set
K39(2) is V1() V11() V12() ext-real positive set
K37(1,K39(2)) is V1() V11() V12() ext-real set
4 is V1() V10() V11() V12() ext-real positive V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
K41(1,4) is V1() V11() V12() ext-real set
K39(4) is V1() V11() V12() ext-real positive set
K37(1,K39(4)) is V1() V11() V12() ext-real set
tan is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
sin is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
cos is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
K274(REAL,REAL,sin,cos) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
dom tan is V50() V51() V52() Element of bool REAL
cot is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
K274(REAL,REAL,cos,sin) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
dom cot is V50() V51() V52() Element of bool REAL
x is V11() V12() ext-real Element of REAL
x / 2 is V11() V12() ext-real Element of REAL
K37(x,K39(2)) is V11() V12() ext-real set
- (x / 2) is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
cD (f,x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
x / 2 is V11() V12() ext-real Element of REAL
Shift (f,(x / 2)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
- (x / 2) is V11() V12() ext-real Element of REAL
Shift (f,(- (x / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (f,(x / 2))) - (Shift (f,(- (x / 2)))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(cD (f,x)) . h is V11() V12() ext-real Element of REAL
fD (f,(x / 2)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (f,(x / 2)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (f,(x / 2))) - f is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(fD (f,(x / 2))) . h is V11() V12() ext-real Element of REAL
fD (f,(- (x / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (f,(- (x / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (f,(- (x / 2)))) - f is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(fD (f,(- (x / 2)))) . h is V11() V12() ext-real Element of REAL
((fD (f,(x / 2))) . h) - ((fD (f,(- (x / 2)))) . h) is V11() V12() ext-real Element of REAL
K38(((fD (f,(- (x / 2)))) . h)) is V11() V12() ext-real set
K36(((fD (f,(x / 2))) . h),K38(((fD (f,(- (x / 2)))) . h))) is V11() V12() ext-real set
h + (x / 2) is V11() V12() ext-real Element of REAL
f . (h + (x / 2)) is V11() V12() ext-real Element of REAL
f . h is V11() V12() ext-real Element of REAL
(f . (h + (x / 2))) - (f . h) is V11() V12() ext-real Element of REAL
K38((f . h)) is V11() V12() ext-real set
K36((f . (h + (x / 2))),K38((f . h))) is V11() V12() ext-real set
((f . (h + (x / 2))) - (f . h)) + (f . h) is V11() V12() ext-real Element of REAL
h - (x / 2) is V11() V12() ext-real Element of REAL
K38((x / 2)) is V11() V12() ext-real set
K36(h,K38((x / 2))) is V11() V12() ext-real set
f . (h - (x / 2)) is V11() V12() ext-real Element of REAL
(((f . (h + (x / 2))) - (f . h)) + (f . h)) - (f . (h - (x / 2))) is V11() V12() ext-real Element of REAL
K38((f . (h - (x / 2)))) is V11() V12() ext-real set
K36((((f . (h + (x / 2))) - (f . h)) + (f . h)),K38((f . (h - (x / 2))))) is V11() V12() ext-real set
(f . (h - (x / 2))) - (f . h) is V11() V12() ext-real Element of REAL
K36((f . (h - (x / 2))),K38((f . h))) is V11() V12() ext-real set
((f . (h + (x / 2))) - (f . h)) - ((f . (h - (x / 2))) - (f . h)) is V11() V12() ext-real Element of REAL
K38(((f . (h - (x / 2))) - (f . h))) is V11() V12() ext-real set
K36(((f . (h + (x / 2))) - (f . h)),K38(((f . (h - (x / 2))) - (f . h)))) is V11() V12() ext-real set
((fD (f,(x / 2))) . h) - ((f . (h - (x / 2))) - (f . h)) is V11() V12() ext-real Element of REAL
K36(((fD (f,(x / 2))) . h),K38(((f . (h - (x / 2))) - (f . h)))) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
x / 2 is V11() V12() ext-real Element of REAL
K37(x,K39(2)) is V11() V12() ext-real set
- (x / 2) is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
fD (f,(- (x / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (f,(- (x / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (f,(- (x / 2)))) - f is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(fD (f,(- (x / 2)))) . h is V11() V12() ext-real Element of REAL
bD (f,(x / 2)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
K38((x / 2)) is V11() V12() ext-real set
Shift (f,K38((x / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
f - (Shift (f,K38((x / 2)))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(bD (f,(x / 2))) . h is V11() V12() ext-real Element of REAL
- ((bD (f,(x / 2))) . h) is V11() V12() ext-real Element of REAL
h - (x / 2) is V11() V12() ext-real Element of REAL
K36(h,K38((x / 2))) is V11() V12() ext-real set
f . (h - (x / 2)) is V11() V12() ext-real Element of REAL
f . h is V11() V12() ext-real Element of REAL
(f . (h - (x / 2))) - (f . h) is V11() V12() ext-real Element of REAL
K38((f . h)) is V11() V12() ext-real set
K36((f . (h - (x / 2))),K38((f . h))) is V11() V12() ext-real set
(f . h) - (f . (h - (x / 2))) is V11() V12() ext-real Element of REAL
K38((f . (h - (x / 2)))) is V11() V12() ext-real set
K36((f . h),K38((f . (h - (x / 2))))) is V11() V12() ext-real set
- ((f . h) - (f . (h - (x / 2)))) is V11() V12() ext-real Element of REAL
x is V11() V12() ext-real Element of REAL
x / 2 is V11() V12() ext-real Element of REAL
K37(x,K39(2)) is V11() V12() ext-real set
- (x / 2) is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
cD (f,x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
x / 2 is V11() V12() ext-real Element of REAL
Shift (f,(x / 2)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
- (x / 2) is V11() V12() ext-real Element of REAL
Shift (f,(- (x / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (f,(x / 2))) - (Shift (f,(- (x / 2)))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(cD (f,x)) . h is V11() V12() ext-real Element of REAL
bD (f,(x / 2)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
K38((x / 2)) is V11() V12() ext-real set
Shift (f,K38((x / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
f - (Shift (f,K38((x / 2)))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(bD (f,(x / 2))) . h is V11() V12() ext-real Element of REAL
bD (f,(- (x / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
K38((- (x / 2))) is V11() V12() ext-real set
Shift (f,K38((- (x / 2)))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
f - (Shift (f,K38((- (x / 2))))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(bD (f,(- (x / 2)))) . h is V11() V12() ext-real Element of REAL
((bD (f,(x / 2))) . h) - ((bD (f,(- (x / 2)))) . h) is V11() V12() ext-real Element of REAL
K38(((bD (f,(- (x / 2)))) . h)) is V11() V12() ext-real set
K36(((bD (f,(x / 2))) . h),K38(((bD (f,(- (x / 2)))) . h))) is V11() V12() ext-real set
fD (f,(x / 2)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (f,(x / 2)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (f,(x / 2))) - f is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(fD (f,(x / 2))) . h is V11() V12() ext-real Element of REAL
- ((bD (f,(- (x / 2)))) . h) is V11() V12() ext-real Element of REAL
h + (x / 2) is V11() V12() ext-real Element of REAL
f . (h + (x / 2)) is V11() V12() ext-real Element of REAL
f . h is V11() V12() ext-real Element of REAL
(f . (h + (x / 2))) - (f . h) is V11() V12() ext-real Element of REAL
K38((f . h)) is V11() V12() ext-real set
K36((f . (h + (x / 2))),K38((f . h))) is V11() V12() ext-real set
h - (- (x / 2)) is V11() V12() ext-real Element of REAL
K36(h,K38((- (x / 2)))) is V11() V12() ext-real set
f . (h - (- (x / 2))) is V11() V12() ext-real Element of REAL
(f . h) - (f . (h - (- (x / 2)))) is V11() V12() ext-real Element of REAL
K38((f . (h - (- (x / 2))))) is V11() V12() ext-real set
K36((f . h),K38((f . (h - (- (x / 2)))))) is V11() V12() ext-real set
- ((f . h) - (f . (h - (- (x / 2))))) is V11() V12() ext-real Element of REAL
fD (f,(- (x / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (f,(- (x / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (f,(- (x / 2)))) - f is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(fD (f,(- (x / 2)))) . h is V11() V12() ext-real Element of REAL
(- ((bD (f,(- (x / 2)))) . h)) - ((fD (f,(- (x / 2)))) . h) is V11() V12() ext-real Element of REAL
K38(((fD (f,(- (x / 2)))) . h)) is V11() V12() ext-real set
K36((- ((bD (f,(- (x / 2)))) . h)),K38(((fD (f,(- (x / 2)))) . h))) is V11() V12() ext-real set
- ((bD (f,(x / 2))) . h) is V11() V12() ext-real Element of REAL
(- ((bD (f,(- (x / 2)))) . h)) - (- ((bD (f,(x / 2))) . h)) is V11() V12() ext-real Element of REAL
K38((- ((bD (f,(x / 2))) . h))) is V11() V12() ext-real set
K36((- ((bD (f,(- (x / 2)))) . h)),K38((- ((bD (f,(x / 2))) . h)))) is V11() V12() ext-real set
x is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
x + 1 is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
h is V11() V12() ext-real Element of REAL
f is V11() V12() ext-real Element of REAL
z is V11() V12() ext-real Element of REAL
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
h (#) f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
forward_difference (f,f) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(forward_difference (f,f)) . (x + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((forward_difference (f,f)) . (x + 1)) . z is V11() V12() ext-real Element of REAL
h * (((forward_difference (f,f)) . (x + 1)) . z) is V11() V12() ext-real Element of REAL
x20 is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
(h (#) f) + x20 is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
forward_difference (((h (#) f) + x20),f) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(forward_difference (((h (#) f) + x20),f)) . (x + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((forward_difference (((h (#) f) + x20),f)) . (x + 1)) . z is V11() V12() ext-real Element of REAL
forward_difference (x20,f) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(forward_difference (x20,f)) . (x + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((forward_difference (x20,f)) . (x + 1)) . z is V11() V12() ext-real Element of REAL
(h * (((forward_difference (f,f)) . (x + 1)) . z)) + (((forward_difference (x20,f)) . (x + 1)) . z) is V11() V12() ext-real Element of REAL
forward_difference ((h (#) f),f) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(forward_difference ((h (#) f),f)) . (x + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((forward_difference ((h (#) f),f)) . (x + 1)) . z is V11() V12() ext-real Element of REAL
(((forward_difference ((h (#) f),f)) . (x + 1)) . z) + (((forward_difference (x20,f)) . (x + 1)) . z) is V11() V12() ext-real Element of REAL
x is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
x + 1 is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
h is V11() V12() ext-real Element of REAL
f is V11() V12() ext-real Element of REAL
z is V11() V12() ext-real Element of REAL
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
forward_difference (f,f) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(forward_difference (f,f)) . (x + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((forward_difference (f,f)) . (x + 1)) . z is V11() V12() ext-real Element of REAL
x20 is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
h (#) x20 is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
f + (h (#) x20) is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
forward_difference ((f + (h (#) x20)),f) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(forward_difference ((f + (h (#) x20)),f)) . (x + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((forward_difference ((f + (h (#) x20)),f)) . (x + 1)) . z is V11() V12() ext-real Element of REAL
forward_difference (x20,f) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(forward_difference (x20,f)) . (x + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((forward_difference (x20,f)) . (x + 1)) . z is V11() V12() ext-real Element of REAL
h * (((forward_difference (x20,f)) . (x + 1)) . z) is V11() V12() ext-real Element of REAL
(((forward_difference (f,f)) . (x + 1)) . z) + (h * (((forward_difference (x20,f)) . (x + 1)) . z)) is V11() V12() ext-real Element of REAL
forward_difference ((h (#) x20),f) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(forward_difference ((h (#) x20),f)) . (x + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((forward_difference ((h (#) x20),f)) . (x + 1)) . z is V11() V12() ext-real Element of REAL
(((forward_difference (f,f)) . (x + 1)) . z) + (((forward_difference ((h (#) x20),f)) . (x + 1)) . z) is V11() V12() ext-real Element of REAL
x is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
x + 1 is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
h is V11() V12() ext-real Element of REAL
f is V11() V12() ext-real Element of REAL
z is V11() V12() ext-real Element of REAL
f is V11() V12() ext-real Element of REAL
x20 is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
h (#) x20 is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
forward_difference (x20,z) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(forward_difference (x20,z)) . (x + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((forward_difference (x20,z)) . (x + 1)) . f is V11() V12() ext-real Element of REAL
h * (((forward_difference (x20,z)) . (x + 1)) . f) is V11() V12() ext-real Element of REAL
x21 is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
f (#) x21 is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
(h (#) x20) - (f (#) x21) is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
forward_difference (((h (#) x20) - (f (#) x21)),z) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(forward_difference (((h (#) x20) - (f (#) x21)),z)) . (x + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((forward_difference (((h (#) x20) - (f (#) x21)),z)) . (x + 1)) . f is V11() V12() ext-real Element of REAL
forward_difference (x21,z) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(forward_difference (x21,z)) . (x + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((forward_difference (x21,z)) . (x + 1)) . f is V11() V12() ext-real Element of REAL
f * (((forward_difference (x21,z)) . (x + 1)) . f) is V11() V12() ext-real Element of REAL
(h * (((forward_difference (x20,z)) . (x + 1)) . f)) - (f * (((forward_difference (x21,z)) . (x + 1)) . f)) is V11() V12() ext-real Element of REAL
K38((f * (((forward_difference (x21,z)) . (x + 1)) . f))) is V11() V12() ext-real set
K36((h * (((forward_difference (x20,z)) . (x + 1)) . f)),K38((f * (((forward_difference (x21,z)) . (x + 1)) . f)))) is V11() V12() ext-real set
forward_difference ((h (#) x20),z) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(forward_difference ((h (#) x20),z)) . (x + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((forward_difference ((h (#) x20),z)) . (x + 1)) . f is V11() V12() ext-real Element of REAL
forward_difference ((f (#) x21),z) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(forward_difference ((f (#) x21),z)) . (x + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((forward_difference ((f (#) x21),z)) . (x + 1)) . f is V11() V12() ext-real Element of REAL
(((forward_difference ((h (#) x20),z)) . (x + 1)) . f) - (((forward_difference ((f (#) x21),z)) . (x + 1)) . f) is V11() V12() ext-real Element of REAL
K38((((forward_difference ((f (#) x21),z)) . (x + 1)) . f)) is V11() V12() ext-real set
K36((((forward_difference ((h (#) x20),z)) . (x + 1)) . f),K38((((forward_difference ((f (#) x21),z)) . (x + 1)) . f))) is V11() V12() ext-real set
(h * (((forward_difference (x20,z)) . (x + 1)) . f)) - (((forward_difference ((f (#) x21),z)) . (x + 1)) . f) is V11() V12() ext-real Element of REAL
K36((h * (((forward_difference (x20,z)) . (x + 1)) . f)),K38((((forward_difference ((f (#) x21),z)) . (x + 1)) . f))) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
h is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
forward_difference (h,x) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(forward_difference (h,x)) . 1 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
fD (h,x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (h,x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (h,x)) - h is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
0 + 1 is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
(forward_difference (h,x)) . (0 + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(forward_difference (h,x)) . 0 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
fD (((forward_difference (h,x)) . 0),x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (((forward_difference (h,x)) . 0),x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (((forward_difference (h,x)) . 0),x)) - ((forward_difference (h,x)) . 0) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
x is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
x + 1 is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
h is V11() V12() ext-real Element of REAL
f is V11() V12() ext-real Element of REAL
z is V11() V12() ext-real Element of REAL
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
h (#) f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
backward_difference (f,f) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(backward_difference (f,f)) . (x + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference (f,f)) . (x + 1)) . z is V11() V12() ext-real Element of REAL
h * (((backward_difference (f,f)) . (x + 1)) . z) is V11() V12() ext-real Element of REAL
x20 is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
(h (#) f) + x20 is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
backward_difference (((h (#) f) + x20),f) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(backward_difference (((h (#) f) + x20),f)) . (x + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference (((h (#) f) + x20),f)) . (x + 1)) . z is V11() V12() ext-real Element of REAL
backward_difference (x20,f) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(backward_difference (x20,f)) . (x + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference (x20,f)) . (x + 1)) . z is V11() V12() ext-real Element of REAL
(h * (((backward_difference (f,f)) . (x + 1)) . z)) + (((backward_difference (x20,f)) . (x + 1)) . z) is V11() V12() ext-real Element of REAL
backward_difference ((h (#) f),f) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(backward_difference ((h (#) f),f)) . (x + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference ((h (#) f),f)) . (x + 1)) . z is V11() V12() ext-real Element of REAL
(((backward_difference ((h (#) f),f)) . (x + 1)) . z) + (((backward_difference (x20,f)) . (x + 1)) . z) is V11() V12() ext-real Element of REAL
x is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
x + 1 is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
h is V11() V12() ext-real Element of REAL
f is V11() V12() ext-real Element of REAL
z is V11() V12() ext-real Element of REAL
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
backward_difference (f,f) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(backward_difference (f,f)) . (x + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference (f,f)) . (x + 1)) . z is V11() V12() ext-real Element of REAL
x20 is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
h (#) x20 is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
f + (h (#) x20) is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
backward_difference ((f + (h (#) x20)),f) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(backward_difference ((f + (h (#) x20)),f)) . (x + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference ((f + (h (#) x20)),f)) . (x + 1)) . z is V11() V12() ext-real Element of REAL
backward_difference (x20,f) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(backward_difference (x20,f)) . (x + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference (x20,f)) . (x + 1)) . z is V11() V12() ext-real Element of REAL
h * (((backward_difference (x20,f)) . (x + 1)) . z) is V11() V12() ext-real Element of REAL
(((backward_difference (f,f)) . (x + 1)) . z) + (h * (((backward_difference (x20,f)) . (x + 1)) . z)) is V11() V12() ext-real Element of REAL
backward_difference ((h (#) x20),f) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(backward_difference ((h (#) x20),f)) . (x + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference ((h (#) x20),f)) . (x + 1)) . z is V11() V12() ext-real Element of REAL
(((backward_difference (f,f)) . (x + 1)) . z) + (((backward_difference ((h (#) x20),f)) . (x + 1)) . z) is V11() V12() ext-real Element of REAL
x is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
x + 1 is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
h is V11() V12() ext-real Element of REAL
f is V11() V12() ext-real Element of REAL
z is V11() V12() ext-real Element of REAL
f is V11() V12() ext-real Element of REAL
x20 is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
h (#) x20 is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
backward_difference (x20,z) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(backward_difference (x20,z)) . (x + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference (x20,z)) . (x + 1)) . f is V11() V12() ext-real Element of REAL
h * (((backward_difference (x20,z)) . (x + 1)) . f) is V11() V12() ext-real Element of REAL
x21 is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
f (#) x21 is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
(h (#) x20) - (f (#) x21) is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
backward_difference (((h (#) x20) - (f (#) x21)),z) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(backward_difference (((h (#) x20) - (f (#) x21)),z)) . (x + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference (((h (#) x20) - (f (#) x21)),z)) . (x + 1)) . f is V11() V12() ext-real Element of REAL
backward_difference (x21,z) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(backward_difference (x21,z)) . (x + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference (x21,z)) . (x + 1)) . f is V11() V12() ext-real Element of REAL
f * (((backward_difference (x21,z)) . (x + 1)) . f) is V11() V12() ext-real Element of REAL
(h * (((backward_difference (x20,z)) . (x + 1)) . f)) - (f * (((backward_difference (x21,z)) . (x + 1)) . f)) is V11() V12() ext-real Element of REAL
K38((f * (((backward_difference (x21,z)) . (x + 1)) . f))) is V11() V12() ext-real set
K36((h * (((backward_difference (x20,z)) . (x + 1)) . f)),K38((f * (((backward_difference (x21,z)) . (x + 1)) . f)))) is V11() V12() ext-real set
backward_difference ((h (#) x20),z) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(backward_difference ((h (#) x20),z)) . (x + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference ((h (#) x20),z)) . (x + 1)) . f is V11() V12() ext-real Element of REAL
backward_difference ((f (#) x21),z) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(backward_difference ((f (#) x21),z)) . (x + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference ((f (#) x21),z)) . (x + 1)) . f is V11() V12() ext-real Element of REAL
(((backward_difference ((h (#) x20),z)) . (x + 1)) . f) - (((backward_difference ((f (#) x21),z)) . (x + 1)) . f) is V11() V12() ext-real Element of REAL
K38((((backward_difference ((f (#) x21),z)) . (x + 1)) . f)) is V11() V12() ext-real set
K36((((backward_difference ((h (#) x20),z)) . (x + 1)) . f),K38((((backward_difference ((f (#) x21),z)) . (x + 1)) . f))) is V11() V12() ext-real set
(h * (((backward_difference (x20,z)) . (x + 1)) . f)) - (((backward_difference ((f (#) x21),z)) . (x + 1)) . f) is V11() V12() ext-real Element of REAL
K36((h * (((backward_difference (x20,z)) . (x + 1)) . f)),K38((((backward_difference ((f (#) x21),z)) . (x + 1)) . f))) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
h is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
backward_difference (h,x) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(backward_difference (h,x)) . 1 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
bD (h,x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
K38(x) is V11() V12() ext-real set
Shift (h,K38(x)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
h - (Shift (h,K38(x))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
0 + 1 is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
(backward_difference (h,x)) . (0 + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(backward_difference (h,x)) . 0 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
bD (((backward_difference (h,x)) . 0),x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (((backward_difference (h,x)) . 0),K38(x)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference (h,x)) . 0) - (Shift (((backward_difference (h,x)) . 0),K38(x))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
x is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
h is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
x + h is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
f is V11() V12() ext-real Element of REAL
z is V11() V12() ext-real Element of REAL
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
backward_difference (f,f) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(backward_difference (f,f)) . x is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
backward_difference (((backward_difference (f,f)) . x),f) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(backward_difference (((backward_difference (f,f)) . x),f)) . h is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference (((backward_difference (f,f)) . x),f)) . h) . z is V11() V12() ext-real Element of REAL
(backward_difference (f,f)) . (x + h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference (f,f)) . (x + h)) . z is V11() V12() ext-real Element of REAL
(backward_difference (((backward_difference (f,f)) . x),f)) . 0 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
x + 0 is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
(backward_difference (f,f)) . (x + 0) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
x20 is V11() V12() ext-real Element of REAL
((backward_difference (((backward_difference (f,f)) . x),f)) . 0) . x20 is V11() V12() ext-real Element of REAL
((backward_difference (f,f)) . (x + 0)) . x20 is V11() V12() ext-real Element of REAL
x20 is V10() V11() V12() ext-real set
(backward_difference (((backward_difference (f,f)) . x),f)) . x20 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
x + x20 is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
(backward_difference (f,f)) . (x + x20) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
x20 + 1 is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
(backward_difference (((backward_difference (f,f)) . x),f)) . (x20 + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
x + (x20 + 1) is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
(backward_difference (f,f)) . (x + (x20 + 1)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
x21 is V11() V12() ext-real Element of REAL
((backward_difference (((backward_difference (f,f)) . x),f)) . (x20 + 1)) . x21 is V11() V12() ext-real Element of REAL
((backward_difference (f,f)) . (x + (x20 + 1))) . x21 is V11() V12() ext-real Element of REAL
bD (((backward_difference (((backward_difference (f,f)) . x),f)) . x20),f) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
K38(f) is V11() V12() ext-real set
Shift (((backward_difference (((backward_difference (f,f)) . x),f)) . x20),K38(f)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference (((backward_difference (f,f)) . x),f)) . x20) - (Shift (((backward_difference (((backward_difference (f,f)) . x),f)) . x20),K38(f))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(bD (((backward_difference (((backward_difference (f,f)) . x),f)) . x20),f)) . x21 is V11() V12() ext-real Element of REAL
((backward_difference (((backward_difference (f,f)) . x),f)) . x20) . x21 is V11() V12() ext-real Element of REAL
x21 - f is V11() V12() ext-real Element of REAL
K36(x21,K38(f)) is V11() V12() ext-real set
((backward_difference (((backward_difference (f,f)) . x),f)) . x20) . (x21 - f) is V11() V12() ext-real Element of REAL
(((backward_difference (((backward_difference (f,f)) . x),f)) . x20) . x21) - (((backward_difference (((backward_difference (f,f)) . x),f)) . x20) . (x21 - f)) is V11() V12() ext-real Element of REAL
K38((((backward_difference (((backward_difference (f,f)) . x),f)) . x20) . (x21 - f))) is V11() V12() ext-real set
K36((((backward_difference (((backward_difference (f,f)) . x),f)) . x20) . x21),K38((((backward_difference (((backward_difference (f,f)) . x),f)) . x20) . (x21 - f)))) is V11() V12() ext-real set
((backward_difference (f,f)) . (x + x20)) . x21 is V11() V12() ext-real Element of REAL
(((backward_difference (f,f)) . (x + x20)) . x21) - (((backward_difference (((backward_difference (f,f)) . x),f)) . x20) . (x21 - f)) is V11() V12() ext-real Element of REAL
K36((((backward_difference (f,f)) . (x + x20)) . x21),K38((((backward_difference (((backward_difference (f,f)) . x),f)) . x20) . (x21 - f)))) is V11() V12() ext-real set
((backward_difference (f,f)) . (x + x20)) . (x21 - f) is V11() V12() ext-real Element of REAL
(((backward_difference (f,f)) . (x + x20)) . x21) - (((backward_difference (f,f)) . (x + x20)) . (x21 - f)) is V11() V12() ext-real Element of REAL
K38((((backward_difference (f,f)) . (x + x20)) . (x21 - f))) is V11() V12() ext-real set
K36((((backward_difference (f,f)) . (x + x20)) . x21),K38((((backward_difference (f,f)) . (x + x20)) . (x21 - f)))) is V11() V12() ext-real set
bD (((backward_difference (f,f)) . (x + x20)),f) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (((backward_difference (f,f)) . (x + x20)),K38(f)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference (f,f)) . (x + x20)) - (Shift (((backward_difference (f,f)) . (x + x20)),K38(f))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(bD (((backward_difference (f,f)) . (x + x20)),f)) . x21 is V11() V12() ext-real Element of REAL
(x + x20) + 1 is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
(backward_difference (f,f)) . ((x + x20) + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference (f,f)) . ((x + x20) + 1)) . x21 is V11() V12() ext-real Element of REAL
x is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
x + 1 is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
h is V11() V12() ext-real Element of REAL
f is V11() V12() ext-real Element of REAL
z is V11() V12() ext-real Element of REAL
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
h (#) f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
central_difference (f,f) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(central_difference (f,f)) . (x + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((central_difference (f,f)) . (x + 1)) . z is V11() V12() ext-real Element of REAL
h * (((central_difference (f,f)) . (x + 1)) . z) is V11() V12() ext-real Element of REAL
x20 is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
(h (#) f) + x20 is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
central_difference (((h (#) f) + x20),f) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(central_difference (((h (#) f) + x20),f)) . (x + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((central_difference (((h (#) f) + x20),f)) . (x + 1)) . z is V11() V12() ext-real Element of REAL
central_difference (x20,f) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(central_difference (x20,f)) . (x + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((central_difference (x20,f)) . (x + 1)) . z is V11() V12() ext-real Element of REAL
(h * (((central_difference (f,f)) . (x + 1)) . z)) + (((central_difference (x20,f)) . (x + 1)) . z) is V11() V12() ext-real Element of REAL
central_difference ((h (#) f),f) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(central_difference ((h (#) f),f)) . (x + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((central_difference ((h (#) f),f)) . (x + 1)) . z is V11() V12() ext-real Element of REAL
(((central_difference ((h (#) f),f)) . (x + 1)) . z) + (((central_difference (x20,f)) . (x + 1)) . z) is V11() V12() ext-real Element of REAL
x is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
x + 1 is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
h is V11() V12() ext-real Element of REAL
f is V11() V12() ext-real Element of REAL
z is V11() V12() ext-real Element of REAL
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
central_difference (f,f) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(central_difference (f,f)) . (x + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((central_difference (f,f)) . (x + 1)) . z is V11() V12() ext-real Element of REAL
x20 is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
h (#) x20 is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
f + (h (#) x20) is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
central_difference ((f + (h (#) x20)),f) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(central_difference ((f + (h (#) x20)),f)) . (x + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((central_difference ((f + (h (#) x20)),f)) . (x + 1)) . z is V11() V12() ext-real Element of REAL
central_difference (x20,f) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(central_difference (x20,f)) . (x + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((central_difference (x20,f)) . (x + 1)) . z is V11() V12() ext-real Element of REAL
h * (((central_difference (x20,f)) . (x + 1)) . z) is V11() V12() ext-real Element of REAL
(((central_difference (f,f)) . (x + 1)) . z) + (h * (((central_difference (x20,f)) . (x + 1)) . z)) is V11() V12() ext-real Element of REAL
central_difference ((h (#) x20),f) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(central_difference ((h (#) x20),f)) . (x + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((central_difference ((h (#) x20),f)) . (x + 1)) . z is V11() V12() ext-real Element of REAL
(((central_difference (f,f)) . (x + 1)) . z) + (((central_difference ((h (#) x20),f)) . (x + 1)) . z) is V11() V12() ext-real Element of REAL
x is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
x + 1 is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
h is V11() V12() ext-real Element of REAL
f is V11() V12() ext-real Element of REAL
z is V11() V12() ext-real Element of REAL
f is V11() V12() ext-real Element of REAL
x20 is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
h (#) x20 is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
central_difference (x20,z) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(central_difference (x20,z)) . (x + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((central_difference (x20,z)) . (x + 1)) . f is V11() V12() ext-real Element of REAL
h * (((central_difference (x20,z)) . (x + 1)) . f) is V11() V12() ext-real Element of REAL
x21 is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
f (#) x21 is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
(h (#) x20) - (f (#) x21) is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
central_difference (((h (#) x20) - (f (#) x21)),z) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(central_difference (((h (#) x20) - (f (#) x21)),z)) . (x + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((central_difference (((h (#) x20) - (f (#) x21)),z)) . (x + 1)) . f is V11() V12() ext-real Element of REAL
central_difference (x21,z) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(central_difference (x21,z)) . (x + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((central_difference (x21,z)) . (x + 1)) . f is V11() V12() ext-real Element of REAL
f * (((central_difference (x21,z)) . (x + 1)) . f) is V11() V12() ext-real Element of REAL
(h * (((central_difference (x20,z)) . (x + 1)) . f)) - (f * (((central_difference (x21,z)) . (x + 1)) . f)) is V11() V12() ext-real Element of REAL
K38((f * (((central_difference (x21,z)) . (x + 1)) . f))) is V11() V12() ext-real set
K36((h * (((central_difference (x20,z)) . (x + 1)) . f)),K38((f * (((central_difference (x21,z)) . (x + 1)) . f)))) is V11() V12() ext-real set
central_difference ((h (#) x20),z) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(central_difference ((h (#) x20),z)) . (x + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((central_difference ((h (#) x20),z)) . (x + 1)) . f is V11() V12() ext-real Element of REAL
central_difference ((f (#) x21),z) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(central_difference ((f (#) x21),z)) . (x + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((central_difference ((f (#) x21),z)) . (x + 1)) . f is V11() V12() ext-real Element of REAL
(((central_difference ((h (#) x20),z)) . (x + 1)) . f) - (((central_difference ((f (#) x21),z)) . (x + 1)) . f) is V11() V12() ext-real Element of REAL
K38((((central_difference ((f (#) x21),z)) . (x + 1)) . f)) is V11() V12() ext-real set
K36((((central_difference ((h (#) x20),z)) . (x + 1)) . f),K38((((central_difference ((f (#) x21),z)) . (x + 1)) . f))) is V11() V12() ext-real set
(h * (((central_difference (x20,z)) . (x + 1)) . f)) - (((central_difference ((f (#) x21),z)) . (x + 1)) . f) is V11() V12() ext-real Element of REAL
K36((h * (((central_difference (x20,z)) . (x + 1)) . f)),K38((((central_difference ((f (#) x21),z)) . (x + 1)) . f))) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
h is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
central_difference (h,x) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(central_difference (h,x)) . 1 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
cD (h,x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
x / 2 is V11() V12() ext-real Element of REAL
K37(x,K39(2)) is V11() V12() ext-real set
Shift (h,(x / 2)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
- (x / 2) is V11() V12() ext-real Element of REAL
Shift (h,(- (x / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (h,(x / 2))) - (Shift (h,(- (x / 2)))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
0 + 1 is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
(central_difference (h,x)) . (0 + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(central_difference (h,x)) . 0 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
cD (((central_difference (h,x)) . 0),x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (((central_difference (h,x)) . 0),(x / 2)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (((central_difference (h,x)) . 0),(- (x / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (((central_difference (h,x)) . 0),(x / 2))) - (Shift (((central_difference (h,x)) . 0),(- (x / 2)))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
x is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
h is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
x + h is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
f is V11() V12() ext-real Element of REAL
z is V11() V12() ext-real Element of REAL
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
central_difference (f,f) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(central_difference (f,f)) . x is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
central_difference (((central_difference (f,f)) . x),f) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(central_difference (((central_difference (f,f)) . x),f)) . h is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((central_difference (((central_difference (f,f)) . x),f)) . h) . z is V11() V12() ext-real Element of REAL
(central_difference (f,f)) . (x + h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((central_difference (f,f)) . (x + h)) . z is V11() V12() ext-real Element of REAL
(central_difference (((central_difference (f,f)) . x),f)) . 0 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
x + 0 is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
(central_difference (f,f)) . (x + 0) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
x20 is V11() V12() ext-real Element of REAL
((central_difference (((central_difference (f,f)) . x),f)) . 0) . x20 is V11() V12() ext-real Element of REAL
((central_difference (f,f)) . (x + 0)) . x20 is V11() V12() ext-real Element of REAL
x20 is V10() V11() V12() ext-real set
(central_difference (((central_difference (f,f)) . x),f)) . x20 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
x + x20 is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
(central_difference (f,f)) . (x + x20) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
x20 + 1 is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
(central_difference (((central_difference (f,f)) . x),f)) . (x20 + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
x + (x20 + 1) is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
(central_difference (f,f)) . (x + (x20 + 1)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
x21 is V11() V12() ext-real Element of REAL
((central_difference (((central_difference (f,f)) . x),f)) . (x20 + 1)) . x21 is V11() V12() ext-real Element of REAL
((central_difference (f,f)) . (x + (x20 + 1))) . x21 is V11() V12() ext-real Element of REAL
cD (((central_difference (((central_difference (f,f)) . x),f)) . x20),f) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
f / 2 is V11() V12() ext-real Element of REAL
K37(f,K39(2)) is V11() V12() ext-real set
Shift (((central_difference (((central_difference (f,f)) . x),f)) . x20),(f / 2)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
- (f / 2) is V11() V12() ext-real Element of REAL
Shift (((central_difference (((central_difference (f,f)) . x),f)) . x20),(- (f / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (((central_difference (((central_difference (f,f)) . x),f)) . x20),(f / 2))) - (Shift (((central_difference (((central_difference (f,f)) . x),f)) . x20),(- (f / 2)))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(cD (((central_difference (((central_difference (f,f)) . x),f)) . x20),f)) . x21 is V11() V12() ext-real Element of REAL
f / 2 is V11() V12() ext-real Element of REAL
x21 + (f / 2) is V11() V12() ext-real Element of REAL
((central_difference (((central_difference (f,f)) . x),f)) . x20) . (x21 + (f / 2)) is V11() V12() ext-real Element of REAL
x21 - (f / 2) is V11() V12() ext-real Element of REAL
K38((f / 2)) is V11() V12() ext-real set
K36(x21,K38((f / 2))) is V11() V12() ext-real set
((central_difference (((central_difference (f,f)) . x),f)) . x20) . (x21 - (f / 2)) is V11() V12() ext-real Element of REAL
(((central_difference (((central_difference (f,f)) . x),f)) . x20) . (x21 + (f / 2))) - (((central_difference (((central_difference (f,f)) . x),f)) . x20) . (x21 - (f / 2))) is V11() V12() ext-real Element of REAL
K38((((central_difference (((central_difference (f,f)) . x),f)) . x20) . (x21 - (f / 2)))) is V11() V12() ext-real set
K36((((central_difference (((central_difference (f,f)) . x),f)) . x20) . (x21 + (f / 2))),K38((((central_difference (((central_difference (f,f)) . x),f)) . x20) . (x21 - (f / 2))))) is V11() V12() ext-real set
((central_difference (f,f)) . (x + x20)) . (x21 + (f / 2)) is V11() V12() ext-real Element of REAL
(((central_difference (f,f)) . (x + x20)) . (x21 + (f / 2))) - (((central_difference (((central_difference (f,f)) . x),f)) . x20) . (x21 - (f / 2))) is V11() V12() ext-real Element of REAL
K36((((central_difference (f,f)) . (x + x20)) . (x21 + (f / 2))),K38((((central_difference (((central_difference (f,f)) . x),f)) . x20) . (x21 - (f / 2))))) is V11() V12() ext-real set
((central_difference (f,f)) . (x + x20)) . (x21 - (f / 2)) is V11() V12() ext-real Element of REAL
(((central_difference (f,f)) . (x + x20)) . (x21 + (f / 2))) - (((central_difference (f,f)) . (x + x20)) . (x21 - (f / 2))) is V11() V12() ext-real Element of REAL
K38((((central_difference (f,f)) . (x + x20)) . (x21 - (f / 2)))) is V11() V12() ext-real set
K36((((central_difference (f,f)) . (x + x20)) . (x21 + (f / 2))),K38((((central_difference (f,f)) . (x + x20)) . (x21 - (f / 2))))) is V11() V12() ext-real set
cD (((central_difference (f,f)) . (x + x20)),f) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (((central_difference (f,f)) . (x + x20)),(f / 2)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (((central_difference (f,f)) . (x + x20)),(- (f / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (((central_difference (f,f)) . (x + x20)),(f / 2))) - (Shift (((central_difference (f,f)) . (x + x20)),(- (f / 2)))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(cD (((central_difference (f,f)) . (x + x20)),f)) . x21 is V11() V12() ext-real Element of REAL
(x + x20) + 1 is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
(central_difference (f,f)) . ((x + x20) + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((central_difference (f,f)) . ((x + x20) + 1)) . x21 is V11() V12() ext-real Element of REAL
x is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
x / 2 is V11() V12() ext-real Element of REAL
K37(x,K39(2)) is V11() V12() ext-real set
h is V11() V12() ext-real Element of REAL
(x / 2) * h is V11() V12() ext-real Element of REAL
f is V11() V12() ext-real Element of REAL
f + ((x / 2) * h) is V11() V12() ext-real Element of REAL
f - ((x / 2) * h) is V11() V12() ext-real Element of REAL
K38(((x / 2) * h)) is V11() V12() ext-real set
K36(f,K38(((x / 2) * h))) is V11() V12() ext-real set
z is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
forward_difference (z,h) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(forward_difference (z,h)) . x is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((forward_difference (z,h)) . x) . f is V11() V12() ext-real Element of REAL
central_difference (z,h) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(central_difference (z,h)) . x is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((central_difference (z,h)) . x) . (f + ((x / 2) * h)) is V11() V12() ext-real Element of REAL
backward_difference (z,h) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(backward_difference (z,h)) . x is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference (z,h)) . x) . f is V11() V12() ext-real Element of REAL
((central_difference (z,h)) . x) . (f - ((x / 2) * h)) is V11() V12() ext-real Element of REAL
(backward_difference (z,h)) . 0 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(central_difference (z,h)) . 0 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
0 / 2 is V11() V12() ext-real Element of REAL
K37(0,K39(2)) is V11() V12() ext-real set
(0 / 2) * h is V11() V12() ext-real Element of REAL
f is V11() V12() ext-real Element of REAL
((backward_difference (z,h)) . 0) . f is V11() V12() ext-real Element of REAL
f - ((0 / 2) * h) is V11() V12() ext-real Element of REAL
K38(((0 / 2) * h)) is V11() V12() ext-real set
K36(f,K38(((0 / 2) * h))) is V11() V12() ext-real set
((central_difference (z,h)) . 0) . (f - ((0 / 2) * h)) is V11() V12() ext-real Element of REAL
z . f is V11() V12() ext-real Element of REAL
0 / 2 is V11() V12() ext-real Element of REAL
(0 / 2) * h is V11() V12() ext-real Element of REAL
f - ((0 / 2) * h) is V11() V12() ext-real Element of REAL
K38(((0 / 2) * h)) is V11() V12() ext-real set
K36(f,K38(((0 / 2) * h))) is V11() V12() ext-real set
((central_difference (z,h)) . 0) . (f - ((0 / 2) * h)) is V11() V12() ext-real Element of REAL
f is V10() V11() V12() ext-real set
(backward_difference (z,h)) . f is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(central_difference (z,h)) . f is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
f / 2 is V11() V12() ext-real Element of REAL
K37(f,K39(2)) is V11() V12() ext-real set
(f / 2) * h is V11() V12() ext-real Element of REAL
f + 1 is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
(backward_difference (z,h)) . (f + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(central_difference (z,h)) . (f + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(f + 1) / 2 is V11() V12() ext-real Element of REAL
K37((f + 1),K39(2)) is V11() V12() ext-real set
((f + 1) / 2) * h is V11() V12() ext-real Element of REAL
x20 is V11() V12() ext-real Element of REAL
((backward_difference (z,h)) . (f + 1)) . x20 is V11() V12() ext-real Element of REAL
x20 - (((f + 1) / 2) * h) is V11() V12() ext-real Element of REAL
K38((((f + 1) / 2) * h)) is V11() V12() ext-real set
K36(x20,K38((((f + 1) / 2) * h))) is V11() V12() ext-real set
((central_difference (z,h)) . (f + 1)) . (x20 - (((f + 1) / 2) * h)) is V11() V12() ext-real Element of REAL
bD (((backward_difference (z,h)) . f),h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
K38(h) is V11() V12() ext-real set
Shift (((backward_difference (z,h)) . f),K38(h)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference (z,h)) . f) - (Shift (((backward_difference (z,h)) . f),K38(h))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(bD (((backward_difference (z,h)) . f),h)) . x20 is V11() V12() ext-real Element of REAL
((backward_difference (z,h)) . f) . x20 is V11() V12() ext-real Element of REAL
x20 - h is V11() V12() ext-real Element of REAL
K36(x20,K38(h)) is V11() V12() ext-real set
((backward_difference (z,h)) . f) . (x20 - h) is V11() V12() ext-real Element of REAL
(((backward_difference (z,h)) . f) . x20) - (((backward_difference (z,h)) . f) . (x20 - h)) is V11() V12() ext-real Element of REAL
K38((((backward_difference (z,h)) . f) . (x20 - h))) is V11() V12() ext-real set
K36((((backward_difference (z,h)) . f) . x20),K38((((backward_difference (z,h)) . f) . (x20 - h)))) is V11() V12() ext-real set
x20 - ((f / 2) * h) is V11() V12() ext-real Element of REAL
K38(((f / 2) * h)) is V11() V12() ext-real set
K36(x20,K38(((f / 2) * h))) is V11() V12() ext-real set
((central_difference (z,h)) . f) . (x20 - ((f / 2) * h)) is V11() V12() ext-real Element of REAL
(((central_difference (z,h)) . f) . (x20 - ((f / 2) * h))) - (((backward_difference (z,h)) . f) . (x20 - h)) is V11() V12() ext-real Element of REAL
K36((((central_difference (z,h)) . f) . (x20 - ((f / 2) * h))),K38((((backward_difference (z,h)) . f) . (x20 - h)))) is V11() V12() ext-real set
(x20 - h) - ((f / 2) * h) is V11() V12() ext-real Element of REAL
K36((x20 - h),K38(((f / 2) * h))) is V11() V12() ext-real set
((central_difference (z,h)) . f) . ((x20 - h) - ((f / 2) * h)) is V11() V12() ext-real Element of REAL
(((central_difference (z,h)) . f) . (x20 - ((f / 2) * h))) - (((central_difference (z,h)) . f) . ((x20 - h) - ((f / 2) * h))) is V11() V12() ext-real Element of REAL
K38((((central_difference (z,h)) . f) . ((x20 - h) - ((f / 2) * h)))) is V11() V12() ext-real set
K36((((central_difference (z,h)) . f) . (x20 - ((f / 2) * h))),K38((((central_difference (z,h)) . f) . ((x20 - h) - ((f / 2) * h))))) is V11() V12() ext-real set
(f + 1) / 2 is V11() V12() ext-real Element of REAL
((f + 1) / 2) * h is V11() V12() ext-real Element of REAL
x20 - (((f + 1) / 2) * h) is V11() V12() ext-real Element of REAL
K38((((f + 1) / 2) * h)) is V11() V12() ext-real set
K36(x20,K38((((f + 1) / 2) * h))) is V11() V12() ext-real set
h / 2 is V11() V12() ext-real Element of REAL
K37(h,K39(2)) is V11() V12() ext-real set
(x20 - (((f + 1) / 2) * h)) + (h / 2) is V11() V12() ext-real Element of REAL
((central_difference (z,h)) . f) . ((x20 - (((f + 1) / 2) * h)) + (h / 2)) is V11() V12() ext-real Element of REAL
(x20 - (((f + 1) / 2) * h)) - (h / 2) is V11() V12() ext-real Element of REAL
K38((h / 2)) is V11() V12() ext-real set
K36((x20 - (((f + 1) / 2) * h)),K38((h / 2))) is V11() V12() ext-real set
((central_difference (z,h)) . f) . ((x20 - (((f + 1) / 2) * h)) - (h / 2)) is V11() V12() ext-real Element of REAL
(((central_difference (z,h)) . f) . ((x20 - (((f + 1) / 2) * h)) + (h / 2))) - (((central_difference (z,h)) . f) . ((x20 - (((f + 1) / 2) * h)) - (h / 2))) is V11() V12() ext-real Element of REAL
K38((((central_difference (z,h)) . f) . ((x20 - (((f + 1) / 2) * h)) - (h / 2)))) is V11() V12() ext-real set
K36((((central_difference (z,h)) . f) . ((x20 - (((f + 1) / 2) * h)) + (h / 2))),K38((((central_difference (z,h)) . f) . ((x20 - (((f + 1) / 2) * h)) - (h / 2))))) is V11() V12() ext-real set
cD (((central_difference (z,h)) . f),h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
h / 2 is V11() V12() ext-real Element of REAL
Shift (((central_difference (z,h)) . f),(h / 2)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
- (h / 2) is V11() V12() ext-real Element of REAL
Shift (((central_difference (z,h)) . f),(- (h / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (((central_difference (z,h)) . f),(h / 2))) - (Shift (((central_difference (z,h)) . f),(- (h / 2)))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(cD (((central_difference (z,h)) . f),h)) . (x20 - (((f + 1) / 2) * h)) is V11() V12() ext-real Element of REAL
((central_difference (z,h)) . (f + 1)) . (x20 - (((f + 1) / 2) * h)) is V11() V12() ext-real Element of REAL
x is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
x - 1 is V11() V12() ext-real Element of REAL
K38(1) is V1() V11() V12() ext-real set
K36(x,K38(1)) is V11() V12() ext-real set
(x - 1) / 2 is V11() V12() ext-real Element of REAL
K37((x - 1),K39(2)) is V11() V12() ext-real set
h is V11() V12() ext-real Element of REAL
((x - 1) / 2) * h is V11() V12() ext-real Element of REAL
h / 2 is V11() V12() ext-real Element of REAL
K37(h,K39(2)) is V11() V12() ext-real set
f is V11() V12() ext-real Element of REAL
f + (((x - 1) / 2) * h) is V11() V12() ext-real Element of REAL
(f + (((x - 1) / 2) * h)) + (h / 2) is V11() V12() ext-real Element of REAL
f - (((x - 1) / 2) * h) is V11() V12() ext-real Element of REAL
K38((((x - 1) / 2) * h)) is V11() V12() ext-real set
K36(f,K38((((x - 1) / 2) * h))) is V11() V12() ext-real set
(f - (((x - 1) / 2) * h)) - (h / 2) is V11() V12() ext-real Element of REAL
K38((h / 2)) is V11() V12() ext-real set
K36((f - (((x - 1) / 2) * h)),K38((h / 2))) is V11() V12() ext-real set
z is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
forward_difference (z,h) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(forward_difference (z,h)) . x is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((forward_difference (z,h)) . x) . f is V11() V12() ext-real Element of REAL
central_difference (z,h) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(central_difference (z,h)) . x is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((central_difference (z,h)) . x) . ((f + (((x - 1) / 2) * h)) + (h / 2)) is V11() V12() ext-real Element of REAL
backward_difference (z,h) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(backward_difference (z,h)) . x is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference (z,h)) . x) . f is V11() V12() ext-real Element of REAL
((central_difference (z,h)) . x) . ((f - (((x - 1) / 2) * h)) - (h / 2)) is V11() V12() ext-real Element of REAL
(backward_difference (z,h)) . 0 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(central_difference (z,h)) . 0 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
0 - 1 is V11() V12() ext-real Element of REAL
K36(0,K38(1)) is V11() V12() ext-real set
(0 - 1) / 2 is V11() V12() ext-real Element of REAL
K37((0 - 1),K39(2)) is V11() V12() ext-real set
((0 - 1) / 2) * h is V11() V12() ext-real Element of REAL
f is V11() V12() ext-real Element of REAL
((backward_difference (z,h)) . 0) . f is V11() V12() ext-real Element of REAL
f - (((0 - 1) / 2) * h) is V11() V12() ext-real Element of REAL
K38((((0 - 1) / 2) * h)) is V11() V12() ext-real set
K36(f,K38((((0 - 1) / 2) * h))) is V11() V12() ext-real set
(f - (((0 - 1) / 2) * h)) - (h / 2) is V11() V12() ext-real Element of REAL
K36((f - (((0 - 1) / 2) * h)),K38((h / 2))) is V11() V12() ext-real set
((central_difference (z,h)) . 0) . ((f - (((0 - 1) / 2) * h)) - (h / 2)) is V11() V12() ext-real Element of REAL
z . f is V11() V12() ext-real Element of REAL
0 - 1 is V11() V12() ext-real Element of REAL
(0 - 1) / 2 is V11() V12() ext-real Element of REAL
K37((0 - 1),K39(2)) is V11() V12() ext-real set
((0 - 1) / 2) * h is V11() V12() ext-real Element of REAL
f - (((0 - 1) / 2) * h) is V11() V12() ext-real Element of REAL
K38((((0 - 1) / 2) * h)) is V11() V12() ext-real set
K36(f,K38((((0 - 1) / 2) * h))) is V11() V12() ext-real set
(f - (((0 - 1) / 2) * h)) - (h / 2) is V11() V12() ext-real Element of REAL
K36((f - (((0 - 1) / 2) * h)),K38((h / 2))) is V11() V12() ext-real set
((central_difference (z,h)) . 0) . ((f - (((0 - 1) / 2) * h)) - (h / 2)) is V11() V12() ext-real Element of REAL
f is V10() V11() V12() ext-real set
(backward_difference (z,h)) . f is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(central_difference (z,h)) . f is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
f - 1 is V11() V12() ext-real Element of REAL
K36(f,K38(1)) is V11() V12() ext-real set
(f - 1) / 2 is V11() V12() ext-real Element of REAL
K37((f - 1),K39(2)) is V11() V12() ext-real set
((f - 1) / 2) * h is V11() V12() ext-real Element of REAL
f + 1 is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
(backward_difference (z,h)) . (f + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(central_difference (z,h)) . (f + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(f + 1) - 1 is V11() V12() ext-real Element of REAL
K36((f + 1),K38(1)) is V11() V12() ext-real set
((f + 1) - 1) / 2 is V11() V12() ext-real Element of REAL
K37(((f + 1) - 1),K39(2)) is V11() V12() ext-real set
(((f + 1) - 1) / 2) * h is V11() V12() ext-real Element of REAL
x20 is V11() V12() ext-real Element of REAL
((backward_difference (z,h)) . (f + 1)) . x20 is V11() V12() ext-real Element of REAL
x20 - ((((f + 1) - 1) / 2) * h) is V11() V12() ext-real Element of REAL
K38(((((f + 1) - 1) / 2) * h)) is V11() V12() ext-real set
K36(x20,K38(((((f + 1) - 1) / 2) * h))) is V11() V12() ext-real set
(x20 - ((((f + 1) - 1) / 2) * h)) - (h / 2) is V11() V12() ext-real Element of REAL
K36((x20 - ((((f + 1) - 1) / 2) * h)),K38((h / 2))) is V11() V12() ext-real set
((central_difference (z,h)) . (f + 1)) . ((x20 - ((((f + 1) - 1) / 2) * h)) - (h / 2)) is V11() V12() ext-real Element of REAL
bD (((backward_difference (z,h)) . f),h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
K38(h) is V11() V12() ext-real set
Shift (((backward_difference (z,h)) . f),K38(h)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference (z,h)) . f) - (Shift (((backward_difference (z,h)) . f),K38(h))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(bD (((backward_difference (z,h)) . f),h)) . x20 is V11() V12() ext-real Element of REAL
((backward_difference (z,h)) . f) . x20 is V11() V12() ext-real Element of REAL
x20 - h is V11() V12() ext-real Element of REAL
K36(x20,K38(h)) is V11() V12() ext-real set
((backward_difference (z,h)) . f) . (x20 - h) is V11() V12() ext-real Element of REAL
(((backward_difference (z,h)) . f) . x20) - (((backward_difference (z,h)) . f) . (x20 - h)) is V11() V12() ext-real Element of REAL
K38((((backward_difference (z,h)) . f) . (x20 - h))) is V11() V12() ext-real set
K36((((backward_difference (z,h)) . f) . x20),K38((((backward_difference (z,h)) . f) . (x20 - h)))) is V11() V12() ext-real set
x20 - (((f - 1) / 2) * h) is V11() V12() ext-real Element of REAL
K38((((f - 1) / 2) * h)) is V11() V12() ext-real set
K36(x20,K38((((f - 1) / 2) * h))) is V11() V12() ext-real set
(x20 - (((f - 1) / 2) * h)) - (h / 2) is V11() V12() ext-real Element of REAL
K36((x20 - (((f - 1) / 2) * h)),K38((h / 2))) is V11() V12() ext-real set
((central_difference (z,h)) . f) . ((x20 - (((f - 1) / 2) * h)) - (h / 2)) is V11() V12() ext-real Element of REAL
(((central_difference (z,h)) . f) . ((x20 - (((f - 1) / 2) * h)) - (h / 2))) - (((backward_difference (z,h)) . f) . (x20 - h)) is V11() V12() ext-real Element of REAL
K36((((central_difference (z,h)) . f) . ((x20 - (((f - 1) / 2) * h)) - (h / 2))),K38((((backward_difference (z,h)) . f) . (x20 - h)))) is V11() V12() ext-real set
(x20 - h) - (((f - 1) / 2) * h) is V11() V12() ext-real Element of REAL
K36((x20 - h),K38((((f - 1) / 2) * h))) is V11() V12() ext-real set
((x20 - h) - (((f - 1) / 2) * h)) - (h / 2) is V11() V12() ext-real Element of REAL
K36(((x20 - h) - (((f - 1) / 2) * h)),K38((h / 2))) is V11() V12() ext-real set
((central_difference (z,h)) . f) . (((x20 - h) - (((f - 1) / 2) * h)) - (h / 2)) is V11() V12() ext-real Element of REAL
(((central_difference (z,h)) . f) . ((x20 - (((f - 1) / 2) * h)) - (h / 2))) - (((central_difference (z,h)) . f) . (((x20 - h) - (((f - 1) / 2) * h)) - (h / 2))) is V11() V12() ext-real Element of REAL
K38((((central_difference (z,h)) . f) . (((x20 - h) - (((f - 1) / 2) * h)) - (h / 2)))) is V11() V12() ext-real set
K36((((central_difference (z,h)) . f) . ((x20 - (((f - 1) / 2) * h)) - (h / 2))),K38((((central_difference (z,h)) . f) . (((x20 - h) - (((f - 1) / 2) * h)) - (h / 2))))) is V11() V12() ext-real set
f / 2 is V11() V12() ext-real Element of REAL
K37(f,K39(2)) is V11() V12() ext-real set
(f / 2) * h is V11() V12() ext-real Element of REAL
x20 - ((f / 2) * h) is V11() V12() ext-real Element of REAL
K38(((f / 2) * h)) is V11() V12() ext-real set
K36(x20,K38(((f / 2) * h))) is V11() V12() ext-real set
(x20 - ((f / 2) * h)) - (h / 2) is V11() V12() ext-real Element of REAL
K36((x20 - ((f / 2) * h)),K38((h / 2))) is V11() V12() ext-real set
((x20 - ((f / 2) * h)) - (h / 2)) + (h / 2) is V11() V12() ext-real Element of REAL
((central_difference (z,h)) . f) . (((x20 - ((f / 2) * h)) - (h / 2)) + (h / 2)) is V11() V12() ext-real Element of REAL
((x20 - ((f / 2) * h)) - (h / 2)) - (h / 2) is V11() V12() ext-real Element of REAL
K36(((x20 - ((f / 2) * h)) - (h / 2)),K38((h / 2))) is V11() V12() ext-real set
((central_difference (z,h)) . f) . (((x20 - ((f / 2) * h)) - (h / 2)) - (h / 2)) is V11() V12() ext-real Element of REAL
(((central_difference (z,h)) . f) . (((x20 - ((f / 2) * h)) - (h / 2)) + (h / 2))) - (((central_difference (z,h)) . f) . (((x20 - ((f / 2) * h)) - (h / 2)) - (h / 2))) is V11() V12() ext-real Element of REAL
K38((((central_difference (z,h)) . f) . (((x20 - ((f / 2) * h)) - (h / 2)) - (h / 2)))) is V11() V12() ext-real set
K36((((central_difference (z,h)) . f) . (((x20 - ((f / 2) * h)) - (h / 2)) + (h / 2))),K38((((central_difference (z,h)) . f) . (((x20 - ((f / 2) * h)) - (h / 2)) - (h / 2))))) is V11() V12() ext-real set
cD (((central_difference (z,h)) . f),h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
h / 2 is V11() V12() ext-real Element of REAL
Shift (((central_difference (z,h)) . f),(h / 2)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
- (h / 2) is V11() V12() ext-real Element of REAL
Shift (((central_difference (z,h)) . f),(- (h / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (((central_difference (z,h)) . f),(h / 2))) - (Shift (((central_difference (z,h)) . f),(- (h / 2)))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(cD (((central_difference (z,h)) . f),h)) . ((x20 - ((f / 2) * h)) - (h / 2)) is V11() V12() ext-real Element of REAL
((central_difference (z,h)) . (f + 1)) . ((x20 - ((f / 2) * h)) - (h / 2)) is V11() V12() ext-real Element of REAL
x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
x + h is V11() V12() ext-real Element of REAL
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
[!f,x,(x + h)!] is V11() V12() ext-real Element of REAL
f . x is V11() V12() ext-real Element of REAL
f . (x + h) is V11() V12() ext-real Element of REAL
(f . x) - (f . (x + h)) is V11() V12() ext-real Element of REAL
K38((f . (x + h))) is V11() V12() ext-real set
K36((f . x),K38((f . (x + h)))) is V11() V12() ext-real set
K40(x,(x + h)) is V11() V12() ext-real set
K38((x + h)) is V11() V12() ext-real set
K36(x,K38((x + h))) is V11() V12() ext-real set
((f . x) - (f . (x + h))) / K40(x,(x + h)) is V11() V12() ext-real Element of REAL
K39(K40(x,(x + h))) is V11() V12() ext-real set
K37(((f . x) - (f . (x + h))),K39(K40(x,(x + h)))) is V11() V12() ext-real set
fD (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (f,h)) - f is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(fD (f,h)) . x is V11() V12() ext-real Element of REAL
((fD (f,h)) . x) / h is V11() V12() ext-real Element of REAL
K39(h) is V11() V12() ext-real set
K37(((fD (f,h)) . x),K39(h)) is V11() V12() ext-real set
f . (x + h) is V11() V12() ext-real Element of REAL
f . x is V11() V12() ext-real Element of REAL
(f . (x + h)) - (f . x) is V11() V12() ext-real Element of REAL
K38((f . x)) is V11() V12() ext-real set
K36((f . (x + h)),K38((f . x))) is V11() V12() ext-real set
- ((f . (x + h)) - (f . x)) is V11() V12() ext-real Element of REAL
- h is V11() V12() ext-real Element of REAL
(- ((f . (x + h)) - (f . x))) / (- h) is V11() V12() ext-real Element of REAL
K39((- h)) is V11() V12() ext-real set
K37((- ((f . (x + h)) - (f . x))),K39((- h))) is V11() V12() ext-real set
((f . (x + h)) - (f . x)) / h is V11() V12() ext-real Element of REAL
K37(((f . (x + h)) - (f . x)),K39(h)) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
x - h is V11() V12() ext-real Element of REAL
K38(h) is V11() V12() ext-real set
K36(x,K38(h)) is V11() V12() ext-real set
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
[!f,(x - h),x!] is V11() V12() ext-real Element of REAL
f . (x - h) is V11() V12() ext-real Element of REAL
f . x is V11() V12() ext-real Element of REAL
(f . (x - h)) - (f . x) is V11() V12() ext-real Element of REAL
K38((f . x)) is V11() V12() ext-real set
K36((f . (x - h)),K38((f . x))) is V11() V12() ext-real set
K40((x - h),x) is V11() V12() ext-real set
K38(x) is V11() V12() ext-real set
K36((x - h),K38(x)) is V11() V12() ext-real set
((f . (x - h)) - (f . x)) / K40((x - h),x) is V11() V12() ext-real Element of REAL
K39(K40((x - h),x)) is V11() V12() ext-real set
K37(((f . (x - h)) - (f . x)),K39(K40((x - h),x))) is V11() V12() ext-real set
bD (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (f,K38(h)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
f - (Shift (f,K38(h))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(bD (f,h)) . x is V11() V12() ext-real Element of REAL
((bD (f,h)) . x) / h is V11() V12() ext-real Element of REAL
K39(h) is V11() V12() ext-real set
K37(((bD (f,h)) . x),K39(h)) is V11() V12() ext-real set
backward_difference (f,h) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(backward_difference (f,h)) . 1 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference (f,h)) . 1) . x is V11() V12() ext-real Element of REAL
(((backward_difference (f,h)) . 1) . x) / h is V11() V12() ext-real Element of REAL
K37((((backward_difference (f,h)) . 1) . x),K39(h)) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
h / 2 is V11() V12() ext-real Element of REAL
K37(h,K39(2)) is V11() V12() ext-real set
x - (h / 2) is V11() V12() ext-real Element of REAL
K38((h / 2)) is V11() V12() ext-real set
K36(x,K38((h / 2))) is V11() V12() ext-real set
x + (h / 2) is V11() V12() ext-real Element of REAL
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
[!f,(x - (h / 2)),(x + (h / 2))!] is V11() V12() ext-real Element of REAL
f . (x - (h / 2)) is V11() V12() ext-real Element of REAL
f . (x + (h / 2)) is V11() V12() ext-real Element of REAL
(f . (x - (h / 2))) - (f . (x + (h / 2))) is V11() V12() ext-real Element of REAL
K38((f . (x + (h / 2)))) is V11() V12() ext-real set
K36((f . (x - (h / 2))),K38((f . (x + (h / 2))))) is V11() V12() ext-real set
K40((x - (h / 2)),(x + (h / 2))) is V11() V12() ext-real set
K38((x + (h / 2))) is V11() V12() ext-real set
K36((x - (h / 2)),K38((x + (h / 2)))) is V11() V12() ext-real set
((f . (x - (h / 2))) - (f . (x + (h / 2)))) / K40((x - (h / 2)),(x + (h / 2))) is V11() V12() ext-real Element of REAL
K39(K40((x - (h / 2)),(x + (h / 2)))) is V11() V12() ext-real set
K37(((f . (x - (h / 2))) - (f . (x + (h / 2)))),K39(K40((x - (h / 2)),(x + (h / 2))))) is V11() V12() ext-real set
cD (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
h / 2 is V11() V12() ext-real Element of REAL
Shift (f,(h / 2)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
- (h / 2) is V11() V12() ext-real Element of REAL
Shift (f,(- (h / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (f,(h / 2))) - (Shift (f,(- (h / 2)))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(cD (f,h)) . x is V11() V12() ext-real Element of REAL
((cD (f,h)) . x) / h is V11() V12() ext-real Element of REAL
K39(h) is V11() V12() ext-real set
K37(((cD (f,h)) . x),K39(h)) is V11() V12() ext-real set
[!f,(x + (h / 2)),(x - (h / 2))!] is V11() V12() ext-real Element of REAL
(f . (x + (h / 2))) - (f . (x - (h / 2))) is V11() V12() ext-real Element of REAL
K38((f . (x - (h / 2)))) is V11() V12() ext-real set
K36((f . (x + (h / 2))),K38((f . (x - (h / 2))))) is V11() V12() ext-real set
K40((x + (h / 2)),(x - (h / 2))) is V11() V12() ext-real set
K38((x - (h / 2))) is V11() V12() ext-real set
K36((x + (h / 2)),K38((x - (h / 2)))) is V11() V12() ext-real set
((f . (x + (h / 2))) - (f . (x - (h / 2)))) / K40((x + (h / 2)),(x - (h / 2))) is V11() V12() ext-real Element of REAL
K39(K40((x + (h / 2)),(x - (h / 2)))) is V11() V12() ext-real set
K37(((f . (x + (h / 2))) - (f . (x - (h / 2)))),K39(K40((x + (h / 2)),(x - (h / 2))))) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
h / 2 is V11() V12() ext-real Element of REAL
K37(h,K39(2)) is V11() V12() ext-real set
x - (h / 2) is V11() V12() ext-real Element of REAL
K38((h / 2)) is V11() V12() ext-real set
K36(x,K38((h / 2))) is V11() V12() ext-real set
x + (h / 2) is V11() V12() ext-real Element of REAL
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
[!f,(x - (h / 2)),(x + (h / 2))!] is V11() V12() ext-real Element of REAL
f . (x - (h / 2)) is V11() V12() ext-real Element of REAL
f . (x + (h / 2)) is V11() V12() ext-real Element of REAL
(f . (x - (h / 2))) - (f . (x + (h / 2))) is V11() V12() ext-real Element of REAL
K38((f . (x + (h / 2)))) is V11() V12() ext-real set
K36((f . (x - (h / 2))),K38((f . (x + (h / 2))))) is V11() V12() ext-real set
K40((x - (h / 2)),(x + (h / 2))) is V11() V12() ext-real set
K38((x + (h / 2))) is V11() V12() ext-real set
K36((x - (h / 2)),K38((x + (h / 2)))) is V11() V12() ext-real set
((f . (x - (h / 2))) - (f . (x + (h / 2)))) / K40((x - (h / 2)),(x + (h / 2))) is V11() V12() ext-real Element of REAL
K39(K40((x - (h / 2)),(x + (h / 2)))) is V11() V12() ext-real set
K37(((f . (x - (h / 2))) - (f . (x + (h / 2)))),K39(K40((x - (h / 2)),(x + (h / 2))))) is V11() V12() ext-real set
central_difference (f,h) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(central_difference (f,h)) . 1 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((central_difference (f,h)) . 1) . x is V11() V12() ext-real Element of REAL
(((central_difference (f,h)) . 1) . x) / h is V11() V12() ext-real Element of REAL
K39(h) is V11() V12() ext-real set
K37((((central_difference (f,h)) . 1) . x),K39(h)) is V11() V12() ext-real set
cD (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
h / 2 is V11() V12() ext-real Element of REAL
Shift (f,(h / 2)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
- (h / 2) is V11() V12() ext-real Element of REAL
Shift (f,(- (h / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (f,(h / 2))) - (Shift (f,(- (h / 2)))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(cD (f,h)) . x is V11() V12() ext-real Element of REAL
((cD (f,h)) . x) / h is V11() V12() ext-real Element of REAL
K37(((cD (f,h)) . x),K39(h)) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
2 * x is V11() V12() ext-real Element of REAL
(2 * x) * x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
h - x is V11() V12() ext-real Element of REAL
K38(x) is V11() V12() ext-real set
K36(h,K38(x)) is V11() V12() ext-real set
h + x is V11() V12() ext-real Element of REAL
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
[!f,(h - x),h,(h + x)!] is V11() V12() ext-real Element of REAL
[!f,(h - x),h!] is V11() V12() ext-real Element of REAL
f . (h - x) is V11() V12() ext-real Element of REAL
f . h is V11() V12() ext-real Element of REAL
(f . (h - x)) - (f . h) is V11() V12() ext-real Element of REAL
K38((f . h)) is V11() V12() ext-real set
K36((f . (h - x)),K38((f . h))) is V11() V12() ext-real set
K40((h - x),h) is V11() V12() ext-real set
K38(h) is V11() V12() ext-real set
K36((h - x),K38(h)) is V11() V12() ext-real set
((f . (h - x)) - (f . h)) / K40((h - x),h) is V11() V12() ext-real Element of REAL
K39(K40((h - x),h)) is V11() V12() ext-real set
K37(((f . (h - x)) - (f . h)),K39(K40((h - x),h))) is V11() V12() ext-real set
[!f,h,(h + x)!] is V11() V12() ext-real Element of REAL
f . (h + x) is V11() V12() ext-real Element of REAL
(f . h) - (f . (h + x)) is V11() V12() ext-real Element of REAL
K38((f . (h + x))) is V11() V12() ext-real set
K36((f . h),K38((f . (h + x)))) is V11() V12() ext-real set
K40(h,(h + x)) is V11() V12() ext-real set
K38((h + x)) is V11() V12() ext-real set
K36(h,K38((h + x))) is V11() V12() ext-real set
((f . h) - (f . (h + x))) / K40(h,(h + x)) is V11() V12() ext-real Element of REAL
K39(K40(h,(h + x))) is V11() V12() ext-real set
K37(((f . h) - (f . (h + x))),K39(K40(h,(h + x)))) is V11() V12() ext-real set
[!f,(h - x),h!] - [!f,h,(h + x)!] is V11() V12() ext-real Element of REAL
K38([!f,h,(h + x)!]) is V11() V12() ext-real set
K36([!f,(h - x),h!],K38([!f,h,(h + x)!])) is V11() V12() ext-real set
K40((h - x),(h + x)) is V11() V12() ext-real set
K36((h - x),K38((h + x))) is V11() V12() ext-real set
([!f,(h - x),h!] - [!f,h,(h + x)!]) / K40((h - x),(h + x)) is V11() V12() ext-real Element of REAL
K39(K40((h - x),(h + x))) is V11() V12() ext-real set
K37(([!f,(h - x),h!] - [!f,h,(h + x)!]),K39(K40((h - x),(h + x)))) is V11() V12() ext-real set
central_difference (f,x) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(central_difference (f,x)) . 2 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((central_difference (f,x)) . 2) . h is V11() V12() ext-real Element of REAL
(((central_difference (f,x)) . 2) . h) / ((2 * x) * x) is V11() V12() ext-real Element of REAL
K39(((2 * x) * x)) is V11() V12() ext-real set
K37((((central_difference (f,x)) . 2) . h),K39(((2 * x) * x))) is V11() V12() ext-real set
(central_difference (f,x)) . 1 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
[!f,(h + x),h,(h - x)!] is V11() V12() ext-real Element of REAL
[!f,(h + x),h!] is V11() V12() ext-real Element of REAL
(f . (h + x)) - (f . h) is V11() V12() ext-real Element of REAL
K36((f . (h + x)),K38((f . h))) is V11() V12() ext-real set
K40((h + x),h) is V11() V12() ext-real set
K36((h + x),K38(h)) is V11() V12() ext-real set
((f . (h + x)) - (f . h)) / K40((h + x),h) is V11() V12() ext-real Element of REAL
K39(K40((h + x),h)) is V11() V12() ext-real set
K37(((f . (h + x)) - (f . h)),K39(K40((h + x),h))) is V11() V12() ext-real set
[!f,h,(h - x)!] is V11() V12() ext-real Element of REAL
(f . h) - (f . (h - x)) is V11() V12() ext-real Element of REAL
K38((f . (h - x))) is V11() V12() ext-real set
K36((f . h),K38((f . (h - x)))) is V11() V12() ext-real set
K40(h,(h - x)) is V11() V12() ext-real set
K38((h - x)) is V11() V12() ext-real set
K36(h,K38((h - x))) is V11() V12() ext-real set
((f . h) - (f . (h - x))) / K40(h,(h - x)) is V11() V12() ext-real Element of REAL
K39(K40(h,(h - x))) is V11() V12() ext-real set
K37(((f . h) - (f . (h - x))),K39(K40(h,(h - x)))) is V11() V12() ext-real set
[!f,(h + x),h!] - [!f,h,(h - x)!] is V11() V12() ext-real Element of REAL
K38([!f,h,(h - x)!]) is V11() V12() ext-real set
K36([!f,(h + x),h!],K38([!f,h,(h - x)!])) is V11() V12() ext-real set
K40((h + x),(h - x)) is V11() V12() ext-real set
K36((h + x),K38((h - x))) is V11() V12() ext-real set
([!f,(h + x),h!] - [!f,h,(h - x)!]) / K40((h + x),(h - x)) is V11() V12() ext-real Element of REAL
K39(K40((h + x),(h - x))) is V11() V12() ext-real set
K37(([!f,(h + x),h!] - [!f,h,(h - x)!]),K39(K40((h + x),(h - x)))) is V11() V12() ext-real set
[!f,h,(h + x)!] - [!f,h,(h - x)!] is V11() V12() ext-real Element of REAL
K36([!f,h,(h + x)!],K38([!f,h,(h - x)!])) is V11() V12() ext-real set
(h + x) - (h - x) is V11() V12() ext-real Element of REAL
([!f,h,(h + x)!] - [!f,h,(h - x)!]) / ((h + x) - (h - x)) is V11() V12() ext-real Element of REAL
K39(((h + x) - (h - x))) is V11() V12() ext-real set
K37(([!f,h,(h + x)!] - [!f,h,(h - x)!]),K39(((h + x) - (h - x)))) is V11() V12() ext-real set
x / 2 is V11() V12() ext-real Element of REAL
K37(x,K39(2)) is V11() V12() ext-real set
h + (x / 2) is V11() V12() ext-real Element of REAL
(h + (x / 2)) - (x / 2) is V11() V12() ext-real Element of REAL
K38((x / 2)) is V11() V12() ext-real set
K36((h + (x / 2)),K38((x / 2))) is V11() V12() ext-real set
(h + (x / 2)) + (x / 2) is V11() V12() ext-real Element of REAL
[!f,((h + (x / 2)) - (x / 2)),((h + (x / 2)) + (x / 2))!] is V11() V12() ext-real Element of REAL
f . ((h + (x / 2)) - (x / 2)) is V11() V12() ext-real Element of REAL
f . ((h + (x / 2)) + (x / 2)) is V11() V12() ext-real Element of REAL
(f . ((h + (x / 2)) - (x / 2))) - (f . ((h + (x / 2)) + (x / 2))) is V11() V12() ext-real Element of REAL
K38((f . ((h + (x / 2)) + (x / 2)))) is V11() V12() ext-real set
K36((f . ((h + (x / 2)) - (x / 2))),K38((f . ((h + (x / 2)) + (x / 2))))) is V11() V12() ext-real set
K40(((h + (x / 2)) - (x / 2)),((h + (x / 2)) + (x / 2))) is V11() V12() ext-real set
K38(((h + (x / 2)) + (x / 2))) is V11() V12() ext-real set
K36(((h + (x / 2)) - (x / 2)),K38(((h + (x / 2)) + (x / 2)))) is V11() V12() ext-real set
((f . ((h + (x / 2)) - (x / 2))) - (f . ((h + (x / 2)) + (x / 2)))) / K40(((h + (x / 2)) - (x / 2)),((h + (x / 2)) + (x / 2))) is V11() V12() ext-real Element of REAL
K39(K40(((h + (x / 2)) - (x / 2)),((h + (x / 2)) + (x / 2)))) is V11() V12() ext-real set
K37(((f . ((h + (x / 2)) - (x / 2))) - (f . ((h + (x / 2)) + (x / 2)))),K39(K40(((h + (x / 2)) - (x / 2)),((h + (x / 2)) + (x / 2))))) is V11() V12() ext-real set
h - (x / 2) is V11() V12() ext-real Element of REAL
K36(h,K38((x / 2))) is V11() V12() ext-real set
(h - (x / 2)) - (x / 2) is V11() V12() ext-real Element of REAL
K36((h - (x / 2)),K38((x / 2))) is V11() V12() ext-real set
(h - (x / 2)) + (x / 2) is V11() V12() ext-real Element of REAL
[!f,((h - (x / 2)) - (x / 2)),((h - (x / 2)) + (x / 2))!] is V11() V12() ext-real Element of REAL
f . ((h - (x / 2)) - (x / 2)) is V11() V12() ext-real Element of REAL
f . ((h - (x / 2)) + (x / 2)) is V11() V12() ext-real Element of REAL
(f . ((h - (x / 2)) - (x / 2))) - (f . ((h - (x / 2)) + (x / 2))) is V11() V12() ext-real Element of REAL
K38((f . ((h - (x / 2)) + (x / 2)))) is V11() V12() ext-real set
K36((f . ((h - (x / 2)) - (x / 2))),K38((f . ((h - (x / 2)) + (x / 2))))) is V11() V12() ext-real set
K40(((h - (x / 2)) - (x / 2)),((h - (x / 2)) + (x / 2))) is V11() V12() ext-real set
K38(((h - (x / 2)) + (x / 2))) is V11() V12() ext-real set
K36(((h - (x / 2)) - (x / 2)),K38(((h - (x / 2)) + (x / 2)))) is V11() V12() ext-real set
((f . ((h - (x / 2)) - (x / 2))) - (f . ((h - (x / 2)) + (x / 2)))) / K40(((h - (x / 2)) - (x / 2)),((h - (x / 2)) + (x / 2))) is V11() V12() ext-real Element of REAL
K39(K40(((h - (x / 2)) - (x / 2)),((h - (x / 2)) + (x / 2)))) is V11() V12() ext-real set
K37(((f . ((h - (x / 2)) - (x / 2))) - (f . ((h - (x / 2)) + (x / 2)))),K39(K40(((h - (x / 2)) - (x / 2)),((h - (x / 2)) + (x / 2))))) is V11() V12() ext-real set
[!f,((h + (x / 2)) - (x / 2)),((h + (x / 2)) + (x / 2))!] - [!f,((h - (x / 2)) - (x / 2)),((h - (x / 2)) + (x / 2))!] is V11() V12() ext-real Element of REAL
K38([!f,((h - (x / 2)) - (x / 2)),((h - (x / 2)) + (x / 2))!]) is V11() V12() ext-real set
K36([!f,((h + (x / 2)) - (x / 2)),((h + (x / 2)) + (x / 2))!],K38([!f,((h - (x / 2)) - (x / 2)),((h - (x / 2)) + (x / 2))!])) is V11() V12() ext-real set
([!f,((h + (x / 2)) - (x / 2)),((h + (x / 2)) + (x / 2))!] - [!f,((h - (x / 2)) - (x / 2)),((h - (x / 2)) + (x / 2))!]) / ((h + x) - (h - x)) is V11() V12() ext-real Element of REAL
K37(([!f,((h + (x / 2)) - (x / 2)),((h + (x / 2)) + (x / 2))!] - [!f,((h - (x / 2)) - (x / 2)),((h - (x / 2)) + (x / 2))!]),K39(((h + x) - (h - x)))) is V11() V12() ext-real set
((central_difference (f,x)) . 1) . (h + (x / 2)) is V11() V12() ext-real Element of REAL
(((central_difference (f,x)) . 1) . (h + (x / 2))) / x is V11() V12() ext-real Element of REAL
K39(x) is V11() V12() ext-real set
K37((((central_difference (f,x)) . 1) . (h + (x / 2))),K39(x)) is V11() V12() ext-real set
((((central_difference (f,x)) . 1) . (h + (x / 2))) / x) - [!f,((h - (x / 2)) - (x / 2)),((h - (x / 2)) + (x / 2))!] is V11() V12() ext-real Element of REAL
K36(((((central_difference (f,x)) . 1) . (h + (x / 2))) / x),K38([!f,((h - (x / 2)) - (x / 2)),((h - (x / 2)) + (x / 2))!])) is V11() V12() ext-real set
(((((central_difference (f,x)) . 1) . (h + (x / 2))) / x) - [!f,((h - (x / 2)) - (x / 2)),((h - (x / 2)) + (x / 2))!]) / ((h + x) - (h - x)) is V11() V12() ext-real Element of REAL
K37((((((central_difference (f,x)) . 1) . (h + (x / 2))) / x) - [!f,((h - (x / 2)) - (x / 2)),((h - (x / 2)) + (x / 2))!]),K39(((h + x) - (h - x)))) is V11() V12() ext-real set
((central_difference (f,x)) . 1) . (h - (x / 2)) is V11() V12() ext-real Element of REAL
(((central_difference (f,x)) . 1) . (h - (x / 2))) / x is V11() V12() ext-real Element of REAL
K37((((central_difference (f,x)) . 1) . (h - (x / 2))),K39(x)) is V11() V12() ext-real set
((((central_difference (f,x)) . 1) . (h + (x / 2))) / x) - ((((central_difference (f,x)) . 1) . (h - (x / 2))) / x) is V11() V12() ext-real Element of REAL
K38(((((central_difference (f,x)) . 1) . (h - (x / 2))) / x)) is V11() V12() ext-real set
K36(((((central_difference (f,x)) . 1) . (h + (x / 2))) / x),K38(((((central_difference (f,x)) . 1) . (h - (x / 2))) / x))) is V11() V12() ext-real set
(((((central_difference (f,x)) . 1) . (h + (x / 2))) / x) - ((((central_difference (f,x)) . 1) . (h - (x / 2))) / x)) / ((h + x) - (h - x)) is V11() V12() ext-real Element of REAL
K37((((((central_difference (f,x)) . 1) . (h + (x / 2))) / x) - ((((central_difference (f,x)) . 1) . (h - (x / 2))) / x)),K39(((h + x) - (h - x)))) is V11() V12() ext-real set
(((central_difference (f,x)) . 1) . (h + (x / 2))) - (((central_difference (f,x)) . 1) . (h - (x / 2))) is V11() V12() ext-real Element of REAL
K38((((central_difference (f,x)) . 1) . (h - (x / 2)))) is V11() V12() ext-real set
K36((((central_difference (f,x)) . 1) . (h + (x / 2))),K38((((central_difference (f,x)) . 1) . (h - (x / 2))))) is V11() V12() ext-real set
((((central_difference (f,x)) . 1) . (h + (x / 2))) - (((central_difference (f,x)) . 1) . (h - (x / 2)))) / x is V11() V12() ext-real Element of REAL
K37(((((central_difference (f,x)) . 1) . (h + (x / 2))) - (((central_difference (f,x)) . 1) . (h - (x / 2)))),K39(x)) is V11() V12() ext-real set
(((((central_difference (f,x)) . 1) . (h + (x / 2))) - (((central_difference (f,x)) . 1) . (h - (x / 2)))) / x) / ((h + x) - (h - x)) is V11() V12() ext-real Element of REAL
K37((((((central_difference (f,x)) . 1) . (h + (x / 2))) - (((central_difference (f,x)) . 1) . (h - (x / 2)))) / x),K39(((h + x) - (h - x)))) is V11() V12() ext-real set
cD (((central_difference (f,x)) . 1),x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
x / 2 is V11() V12() ext-real Element of REAL
Shift (((central_difference (f,x)) . 1),(x / 2)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
- (x / 2) is V11() V12() ext-real Element of REAL
Shift (((central_difference (f,x)) . 1),(- (x / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (((central_difference (f,x)) . 1),(x / 2))) - (Shift (((central_difference (f,x)) . 1),(- (x / 2)))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(cD (((central_difference (f,x)) . 1),x)) . h is V11() V12() ext-real Element of REAL
((cD (((central_difference (f,x)) . 1),x)) . h) / x is V11() V12() ext-real Element of REAL
K37(((cD (((central_difference (f,x)) . 1),x)) . h),K39(x)) is V11() V12() ext-real set
(((cD (((central_difference (f,x)) . 1),x)) . h) / x) / (2 * x) is V11() V12() ext-real Element of REAL
K39((2 * x)) is V11() V12() ext-real set
K37((((cD (((central_difference (f,x)) . 1),x)) . h) / x),K39((2 * x))) is V11() V12() ext-real set
1 + 1 is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
(central_difference (f,x)) . (1 + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((central_difference (f,x)) . (1 + 1)) . h is V11() V12() ext-real Element of REAL
(((central_difference (f,x)) . (1 + 1)) . h) / x is V11() V12() ext-real Element of REAL
K37((((central_difference (f,x)) . (1 + 1)) . h),K39(x)) is V11() V12() ext-real set
((((central_difference (f,x)) . (1 + 1)) . h) / x) / (2 * x) is V11() V12() ext-real Element of REAL
K37(((((central_difference (f,x)) . (1 + 1)) . h) / x),K39((2 * x))) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
[!f,x,h!] is V11() V12() ext-real Element of REAL
f . x is V11() V12() ext-real Element of REAL
f . h is V11() V12() ext-real Element of REAL
(f . x) - (f . h) is V11() V12() ext-real Element of REAL
K38((f . h)) is V11() V12() ext-real set
K36((f . x),K38((f . h))) is V11() V12() ext-real set
K40(x,h) is V11() V12() ext-real set
K38(h) is V11() V12() ext-real set
K36(x,K38(h)) is V11() V12() ext-real set
((f . x) - (f . h)) / K40(x,h) is V11() V12() ext-real Element of REAL
K39(K40(x,h)) is V11() V12() ext-real set
K37(((f . x) - (f . h)),K39(K40(x,h))) is V11() V12() ext-real set
z is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
f - z is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
[!(f - z),x,h!] is V11() V12() ext-real Element of REAL
(f - z) . x is V11() V12() ext-real Element of REAL
(f - z) . h is V11() V12() ext-real Element of REAL
((f - z) . x) - ((f - z) . h) is V11() V12() ext-real Element of REAL
K38(((f - z) . h)) is V11() V12() ext-real set
K36(((f - z) . x),K38(((f - z) . h))) is V11() V12() ext-real set
(((f - z) . x) - ((f - z) . h)) / K40(x,h) is V11() V12() ext-real Element of REAL
K37((((f - z) . x) - ((f - z) . h)),K39(K40(x,h))) is V11() V12() ext-real set
[!z,x,h!] is V11() V12() ext-real Element of REAL
z . x is V11() V12() ext-real Element of REAL
z . h is V11() V12() ext-real Element of REAL
(z . x) - (z . h) is V11() V12() ext-real Element of REAL
K38((z . h)) is V11() V12() ext-real set
K36((z . x),K38((z . h))) is V11() V12() ext-real set
((z . x) - (z . h)) / K40(x,h) is V11() V12() ext-real Element of REAL
K37(((z . x) - (z . h)),K39(K40(x,h))) is V11() V12() ext-real set
[!f,x,h!] - [!z,x,h!] is V11() V12() ext-real Element of REAL
K38([!z,x,h!]) is V11() V12() ext-real set
K36([!f,x,h!],K38([!z,x,h!])) is V11() V12() ext-real set
f . x is V11() V12() ext-real Element of REAL
z . x is V11() V12() ext-real Element of REAL
(f . x) - (z . x) is V11() V12() ext-real Element of REAL
K38((z . x)) is V11() V12() ext-real set
K36((f . x),K38((z . x))) is V11() V12() ext-real set
(f - z) . h is V11() V12() ext-real Element of REAL
((f . x) - (z . x)) - ((f - z) . h) is V11() V12() ext-real Element of REAL
K38(((f - z) . h)) is V11() V12() ext-real set
K36(((f . x) - (z . x)),K38(((f - z) . h))) is V11() V12() ext-real set
x - h is V11() V12() ext-real Element of REAL
(((f . x) - (z . x)) - ((f - z) . h)) / (x - h) is V11() V12() ext-real Element of REAL
K39((x - h)) is V11() V12() ext-real set
K37((((f . x) - (z . x)) - ((f - z) . h)),K39((x - h))) is V11() V12() ext-real set
f . h is V11() V12() ext-real Element of REAL
z . h is V11() V12() ext-real Element of REAL
(f . h) - (z . h) is V11() V12() ext-real Element of REAL
K38((z . h)) is V11() V12() ext-real set
K36((f . h),K38((z . h))) is V11() V12() ext-real set
((f . x) - (z . x)) - ((f . h) - (z . h)) is V11() V12() ext-real Element of REAL
K38(((f . h) - (z . h))) is V11() V12() ext-real set
K36(((f . x) - (z . x)),K38(((f . h) - (z . h)))) is V11() V12() ext-real set
(((f . x) - (z . x)) - ((f . h) - (z . h))) / (x - h) is V11() V12() ext-real Element of REAL
K37((((f . x) - (z . x)) - ((f . h) - (z . h))),K39((x - h))) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
f is V11() V12() ext-real Element of REAL
z is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
x (#) z is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
[!z,h,f!] is V11() V12() ext-real Element of REAL
z . h is V11() V12() ext-real Element of REAL
z . f is V11() V12() ext-real Element of REAL
(z . h) - (z . f) is V11() V12() ext-real Element of REAL
K38((z . f)) is V11() V12() ext-real set
K36((z . h),K38((z . f))) is V11() V12() ext-real set
K40(h,f) is V11() V12() ext-real set
K38(f) is V11() V12() ext-real set
K36(h,K38(f)) is V11() V12() ext-real set
((z . h) - (z . f)) / K40(h,f) is V11() V12() ext-real Element of REAL
K39(K40(h,f)) is V11() V12() ext-real set
K37(((z . h) - (z . f)),K39(K40(h,f))) is V11() V12() ext-real set
x * [!z,h,f!] is V11() V12() ext-real Element of REAL
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
(x (#) z) + f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
[!((x (#) z) + f),h,f!] is V11() V12() ext-real Element of REAL
((x (#) z) + f) . h is V11() V12() ext-real Element of REAL
((x (#) z) + f) . f is V11() V12() ext-real Element of REAL
(((x (#) z) + f) . h) - (((x (#) z) + f) . f) is V11() V12() ext-real Element of REAL
K38((((x (#) z) + f) . f)) is V11() V12() ext-real set
K36((((x (#) z) + f) . h),K38((((x (#) z) + f) . f))) is V11() V12() ext-real set
((((x (#) z) + f) . h) - (((x (#) z) + f) . f)) / K40(h,f) is V11() V12() ext-real Element of REAL
K37(((((x (#) z) + f) . h) - (((x (#) z) + f) . f)),K39(K40(h,f))) is V11() V12() ext-real set
[!f,h,f!] is V11() V12() ext-real Element of REAL
f . h is V11() V12() ext-real Element of REAL
f . f is V11() V12() ext-real Element of REAL
(f . h) - (f . f) is V11() V12() ext-real Element of REAL
K38((f . f)) is V11() V12() ext-real set
K36((f . h),K38((f . f))) is V11() V12() ext-real set
((f . h) - (f . f)) / K40(h,f) is V11() V12() ext-real Element of REAL
K37(((f . h) - (f . f)),K39(K40(h,f))) is V11() V12() ext-real set
(x * [!z,h,f!]) + [!f,h,f!] is V11() V12() ext-real Element of REAL
[!(x (#) z),h,f!] is V11() V12() ext-real Element of REAL
(x (#) z) . h is V11() V12() ext-real Element of REAL
(x (#) z) . f is V11() V12() ext-real Element of REAL
((x (#) z) . h) - ((x (#) z) . f) is V11() V12() ext-real Element of REAL
K38(((x (#) z) . f)) is V11() V12() ext-real set
K36(((x (#) z) . h),K38(((x (#) z) . f))) is V11() V12() ext-real set
(((x (#) z) . h) - ((x (#) z) . f)) / K40(h,f) is V11() V12() ext-real Element of REAL
K37((((x (#) z) . h) - ((x (#) z) . f)),K39(K40(h,f))) is V11() V12() ext-real set
[!(x (#) z),h,f!] + [!f,h,f!] is V11() V12() ext-real Element of REAL
x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
f is V11() V12() ext-real Element of REAL
z is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
x (#) z is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
[!z,h,f!] is V11() V12() ext-real Element of REAL
z . h is V11() V12() ext-real Element of REAL
z . f is V11() V12() ext-real Element of REAL
(z . h) - (z . f) is V11() V12() ext-real Element of REAL
K38((z . f)) is V11() V12() ext-real set
K36((z . h),K38((z . f))) is V11() V12() ext-real set
K40(h,f) is V11() V12() ext-real set
K38(f) is V11() V12() ext-real set
K36(h,K38(f)) is V11() V12() ext-real set
((z . h) - (z . f)) / K40(h,f) is V11() V12() ext-real Element of REAL
K39(K40(h,f)) is V11() V12() ext-real set
K37(((z . h) - (z . f)),K39(K40(h,f))) is V11() V12() ext-real set
x * [!z,h,f!] is V11() V12() ext-real Element of REAL
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
(x (#) z) - f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
[!((x (#) z) - f),h,f!] is V11() V12() ext-real Element of REAL
((x (#) z) - f) . h is V11() V12() ext-real Element of REAL
((x (#) z) - f) . f is V11() V12() ext-real Element of REAL
(((x (#) z) - f) . h) - (((x (#) z) - f) . f) is V11() V12() ext-real Element of REAL
K38((((x (#) z) - f) . f)) is V11() V12() ext-real set
K36((((x (#) z) - f) . h),K38((((x (#) z) - f) . f))) is V11() V12() ext-real set
((((x (#) z) - f) . h) - (((x (#) z) - f) . f)) / K40(h,f) is V11() V12() ext-real Element of REAL
K37(((((x (#) z) - f) . h) - (((x (#) z) - f) . f)),K39(K40(h,f))) is V11() V12() ext-real set
[!f,h,f!] is V11() V12() ext-real Element of REAL
f . h is V11() V12() ext-real Element of REAL
f . f is V11() V12() ext-real Element of REAL
(f . h) - (f . f) is V11() V12() ext-real Element of REAL
K38((f . f)) is V11() V12() ext-real set
K36((f . h),K38((f . f))) is V11() V12() ext-real set
((f . h) - (f . f)) / K40(h,f) is V11() V12() ext-real Element of REAL
K37(((f . h) - (f . f)),K39(K40(h,f))) is V11() V12() ext-real set
(x * [!z,h,f!]) - [!f,h,f!] is V11() V12() ext-real Element of REAL
K38([!f,h,f!]) is V11() V12() ext-real set
K36((x * [!z,h,f!]),K38([!f,h,f!])) is V11() V12() ext-real set
[!(x (#) z),h,f!] is V11() V12() ext-real Element of REAL
(x (#) z) . h is V11() V12() ext-real Element of REAL
(x (#) z) . f is V11() V12() ext-real Element of REAL
((x (#) z) . h) - ((x (#) z) . f) is V11() V12() ext-real Element of REAL
K38(((x (#) z) . f)) is V11() V12() ext-real set
K36(((x (#) z) . h),K38(((x (#) z) . f))) is V11() V12() ext-real set
(((x (#) z) . h) - ((x (#) z) . f)) / K40(h,f) is V11() V12() ext-real Element of REAL
K37((((x (#) z) . h) - ((x (#) z) . f)),K39(K40(h,f))) is V11() V12() ext-real set
[!(x (#) z),h,f!] - [!f,h,f!] is V11() V12() ext-real Element of REAL
K36([!(x (#) z),h,f!],K38([!f,h,f!])) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
f is V11() V12() ext-real Element of REAL
z is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
[!z,h,f!] is V11() V12() ext-real Element of REAL
z . h is V11() V12() ext-real Element of REAL
z . f is V11() V12() ext-real Element of REAL
(z . h) - (z . f) is V11() V12() ext-real Element of REAL
K38((z . f)) is V11() V12() ext-real set
K36((z . h),K38((z . f))) is V11() V12() ext-real set
K40(h,f) is V11() V12() ext-real set
K38(f) is V11() V12() ext-real set
K36(h,K38(f)) is V11() V12() ext-real set
((z . h) - (z . f)) / K40(h,f) is V11() V12() ext-real Element of REAL
K39(K40(h,f)) is V11() V12() ext-real set
K37(((z . h) - (z . f)),K39(K40(h,f))) is V11() V12() ext-real set
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
x (#) f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
z + (x (#) f) is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
[!(z + (x (#) f)),h,f!] is V11() V12() ext-real Element of REAL
(z + (x (#) f)) . h is V11() V12() ext-real Element of REAL
(z + (x (#) f)) . f is V11() V12() ext-real Element of REAL
((z + (x (#) f)) . h) - ((z + (x (#) f)) . f) is V11() V12() ext-real Element of REAL
K38(((z + (x (#) f)) . f)) is V11() V12() ext-real set
K36(((z + (x (#) f)) . h),K38(((z + (x (#) f)) . f))) is V11() V12() ext-real set
(((z + (x (#) f)) . h) - ((z + (x (#) f)) . f)) / K40(h,f) is V11() V12() ext-real Element of REAL
K37((((z + (x (#) f)) . h) - ((z + (x (#) f)) . f)),K39(K40(h,f))) is V11() V12() ext-real set
[!f,h,f!] is V11() V12() ext-real Element of REAL
f . h is V11() V12() ext-real Element of REAL
f . f is V11() V12() ext-real Element of REAL
(f . h) - (f . f) is V11() V12() ext-real Element of REAL
K38((f . f)) is V11() V12() ext-real set
K36((f . h),K38((f . f))) is V11() V12() ext-real set
((f . h) - (f . f)) / K40(h,f) is V11() V12() ext-real Element of REAL
K37(((f . h) - (f . f)),K39(K40(h,f))) is V11() V12() ext-real set
x * [!f,h,f!] is V11() V12() ext-real Element of REAL
[!z,h,f!] + (x * [!f,h,f!]) is V11() V12() ext-real Element of REAL
[!(x (#) f),h,f!] is V11() V12() ext-real Element of REAL
(x (#) f) . h is V11() V12() ext-real Element of REAL
(x (#) f) . f is V11() V12() ext-real Element of REAL
((x (#) f) . h) - ((x (#) f) . f) is V11() V12() ext-real Element of REAL
K38(((x (#) f) . f)) is V11() V12() ext-real set
K36(((x (#) f) . h),K38(((x (#) f) . f))) is V11() V12() ext-real set
(((x (#) f) . h) - ((x (#) f) . f)) / K40(h,f) is V11() V12() ext-real Element of REAL
K37((((x (#) f) . h) - ((x (#) f) . f)),K39(K40(h,f))) is V11() V12() ext-real set
[!z,h,f!] + [!(x (#) f),h,f!] is V11() V12() ext-real Element of REAL
x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
f is V11() V12() ext-real Element of REAL
z is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
[!z,h,f!] is V11() V12() ext-real Element of REAL
z . h is V11() V12() ext-real Element of REAL
z . f is V11() V12() ext-real Element of REAL
(z . h) - (z . f) is V11() V12() ext-real Element of REAL
K38((z . f)) is V11() V12() ext-real set
K36((z . h),K38((z . f))) is V11() V12() ext-real set
K40(h,f) is V11() V12() ext-real set
K38(f) is V11() V12() ext-real set
K36(h,K38(f)) is V11() V12() ext-real set
((z . h) - (z . f)) / K40(h,f) is V11() V12() ext-real Element of REAL
K39(K40(h,f)) is V11() V12() ext-real set
K37(((z . h) - (z . f)),K39(K40(h,f))) is V11() V12() ext-real set
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
x (#) f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
z - (x (#) f) is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
[!(z - (x (#) f)),h,f!] is V11() V12() ext-real Element of REAL
(z - (x (#) f)) . h is V11() V12() ext-real Element of REAL
(z - (x (#) f)) . f is V11() V12() ext-real Element of REAL
((z - (x (#) f)) . h) - ((z - (x (#) f)) . f) is V11() V12() ext-real Element of REAL
K38(((z - (x (#) f)) . f)) is V11() V12() ext-real set
K36(((z - (x (#) f)) . h),K38(((z - (x (#) f)) . f))) is V11() V12() ext-real set
(((z - (x (#) f)) . h) - ((z - (x (#) f)) . f)) / K40(h,f) is V11() V12() ext-real Element of REAL
K37((((z - (x (#) f)) . h) - ((z - (x (#) f)) . f)),K39(K40(h,f))) is V11() V12() ext-real set
[!f,h,f!] is V11() V12() ext-real Element of REAL
f . h is V11() V12() ext-real Element of REAL
f . f is V11() V12() ext-real Element of REAL
(f . h) - (f . f) is V11() V12() ext-real Element of REAL
K38((f . f)) is V11() V12() ext-real set
K36((f . h),K38((f . f))) is V11() V12() ext-real set
((f . h) - (f . f)) / K40(h,f) is V11() V12() ext-real Element of REAL
K37(((f . h) - (f . f)),K39(K40(h,f))) is V11() V12() ext-real set
x * [!f,h,f!] is V11() V12() ext-real Element of REAL
[!z,h,f!] - (x * [!f,h,f!]) is V11() V12() ext-real Element of REAL
K38((x * [!f,h,f!])) is V11() V12() ext-real set
K36([!z,h,f!],K38((x * [!f,h,f!]))) is V11() V12() ext-real set
[!(x (#) f),h,f!] is V11() V12() ext-real Element of REAL
(x (#) f) . h is V11() V12() ext-real Element of REAL
(x (#) f) . f is V11() V12() ext-real Element of REAL
((x (#) f) . h) - ((x (#) f) . f) is V11() V12() ext-real Element of REAL
K38(((x (#) f) . f)) is V11() V12() ext-real set
K36(((x (#) f) . h),K38(((x (#) f) . f))) is V11() V12() ext-real set
(((x (#) f) . h) - ((x (#) f) . f)) / K40(h,f) is V11() V12() ext-real Element of REAL
K37((((x (#) f) . h) - ((x (#) f) . f)),K39(K40(h,f))) is V11() V12() ext-real set
[!z,h,f!] - [!(x (#) f),h,f!] is V11() V12() ext-real Element of REAL
K38([!(x (#) f),h,f!]) is V11() V12() ext-real set
K36([!z,h,f!],K38([!(x (#) f),h,f!])) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
f is V11() V12() ext-real Element of REAL
z is V11() V12() ext-real Element of REAL
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
x (#) f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
[!f,f,z!] is V11() V12() ext-real Element of REAL
f . f is V11() V12() ext-real Element of REAL
f . z is V11() V12() ext-real Element of REAL
(f . f) - (f . z) is V11() V12() ext-real Element of REAL
K38((f . z)) is V11() V12() ext-real set
K36((f . f),K38((f . z))) is V11() V12() ext-real set
K40(f,z) is V11() V12() ext-real set
K38(z) is V11() V12() ext-real set
K36(f,K38(z)) is V11() V12() ext-real set
((f . f) - (f . z)) / K40(f,z) is V11() V12() ext-real Element of REAL
K39(K40(f,z)) is V11() V12() ext-real set
K37(((f . f) - (f . z)),K39(K40(f,z))) is V11() V12() ext-real set
x * [!f,f,z!] is V11() V12() ext-real Element of REAL
x20 is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
h (#) x20 is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
(x (#) f) - (h (#) x20) is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
[!((x (#) f) - (h (#) x20)),f,z!] is V11() V12() ext-real Element of REAL
((x (#) f) - (h (#) x20)) . f is V11() V12() ext-real Element of REAL
((x (#) f) - (h (#) x20)) . z is V11() V12() ext-real Element of REAL
(((x (#) f) - (h (#) x20)) . f) - (((x (#) f) - (h (#) x20)) . z) is V11() V12() ext-real Element of REAL
K38((((x (#) f) - (h (#) x20)) . z)) is V11() V12() ext-real set
K36((((x (#) f) - (h (#) x20)) . f),K38((((x (#) f) - (h (#) x20)) . z))) is V11() V12() ext-real set
((((x (#) f) - (h (#) x20)) . f) - (((x (#) f) - (h (#) x20)) . z)) / K40(f,z) is V11() V12() ext-real Element of REAL
K37(((((x (#) f) - (h (#) x20)) . f) - (((x (#) f) - (h (#) x20)) . z)),K39(K40(f,z))) is V11() V12() ext-real set
[!x20,f,z!] is V11() V12() ext-real Element of REAL
x20 . f is V11() V12() ext-real Element of REAL
x20 . z is V11() V12() ext-real Element of REAL
(x20 . f) - (x20 . z) is V11() V12() ext-real Element of REAL
K38((x20 . z)) is V11() V12() ext-real set
K36((x20 . f),K38((x20 . z))) is V11() V12() ext-real set
((x20 . f) - (x20 . z)) / K40(f,z) is V11() V12() ext-real Element of REAL
K37(((x20 . f) - (x20 . z)),K39(K40(f,z))) is V11() V12() ext-real set
h * [!x20,f,z!] is V11() V12() ext-real Element of REAL
(x * [!f,f,z!]) - (h * [!x20,f,z!]) is V11() V12() ext-real Element of REAL
K38((h * [!x20,f,z!])) is V11() V12() ext-real set
K36((x * [!f,f,z!]),K38((h * [!x20,f,z!]))) is V11() V12() ext-real set
[!(x (#) f),f,z!] is V11() V12() ext-real Element of REAL
(x (#) f) . f is V11() V12() ext-real Element of REAL
(x (#) f) . z is V11() V12() ext-real Element of REAL
((x (#) f) . f) - ((x (#) f) . z) is V11() V12() ext-real Element of REAL
K38(((x (#) f) . z)) is V11() V12() ext-real set
K36(((x (#) f) . f),K38(((x (#) f) . z))) is V11() V12() ext-real set
(((x (#) f) . f) - ((x (#) f) . z)) / K40(f,z) is V11() V12() ext-real Element of REAL
K37((((x (#) f) . f) - ((x (#) f) . z)),K39(K40(f,z))) is V11() V12() ext-real set
[!(h (#) x20),f,z!] is V11() V12() ext-real Element of REAL
(h (#) x20) . f is V11() V12() ext-real Element of REAL
(h (#) x20) . z is V11() V12() ext-real Element of REAL
((h (#) x20) . f) - ((h (#) x20) . z) is V11() V12() ext-real Element of REAL
K38(((h (#) x20) . z)) is V11() V12() ext-real set
K36(((h (#) x20) . f),K38(((h (#) x20) . z))) is V11() V12() ext-real set
(((h (#) x20) . f) - ((h (#) x20) . z)) / K40(f,z) is V11() V12() ext-real Element of REAL
K37((((h (#) x20) . f) - ((h (#) x20) . z)),K39(K40(f,z))) is V11() V12() ext-real set
[!(x (#) f),f,z!] - [!(h (#) x20),f,z!] is V11() V12() ext-real Element of REAL
K38([!(h (#) x20),f,z!]) is V11() V12() ext-real set
K36([!(x (#) f),f,z!],K38([!(h (#) x20),f,z!])) is V11() V12() ext-real set
(x * [!f,f,z!]) - [!(h (#) x20),f,z!] is V11() V12() ext-real Element of REAL
K36((x * [!f,f,z!]),K38([!(h (#) x20),f,z!])) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
h - x is V11() V12() ext-real Element of REAL
K38(x) is V11() V12() ext-real set
K36(h,K38(x)) is V11() V12() ext-real set
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
f . h is V11() V12() ext-real Element of REAL
backward_difference (f,x) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(backward_difference (f,x)) . 1 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference (f,x)) . 1) . h is V11() V12() ext-real Element of REAL
z is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
f (#) z is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
backward_difference ((f (#) z),x) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(backward_difference ((f (#) z),x)) . 1 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference ((f (#) z),x)) . 1) . h is V11() V12() ext-real Element of REAL
backward_difference (z,x) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(backward_difference (z,x)) . 1 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference (z,x)) . 1) . h is V11() V12() ext-real Element of REAL
(f . h) * (((backward_difference (z,x)) . 1) . h) is V11() V12() ext-real Element of REAL
z . (h - x) is V11() V12() ext-real Element of REAL
(z . (h - x)) * (((backward_difference (f,x)) . 1) . h) is V11() V12() ext-real Element of REAL
((f . h) * (((backward_difference (z,x)) . 1) . h)) + ((z . (h - x)) * (((backward_difference (f,x)) . 1) . h)) is V11() V12() ext-real Element of REAL
0 + 1 is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
(backward_difference ((f (#) z),x)) . (0 + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference ((f (#) z),x)) . (0 + 1)) . h is V11() V12() ext-real Element of REAL
(backward_difference ((f (#) z),x)) . 0 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
bD (((backward_difference ((f (#) z),x)) . 0),x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (((backward_difference ((f (#) z),x)) . 0),K38(x)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference ((f (#) z),x)) . 0) - (Shift (((backward_difference ((f (#) z),x)) . 0),K38(x))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(bD (((backward_difference ((f (#) z),x)) . 0),x)) . h is V11() V12() ext-real Element of REAL
bD ((f (#) z),x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift ((f (#) z),K38(x)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(f (#) z) - (Shift ((f (#) z),K38(x))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(bD ((f (#) z),x)) . h is V11() V12() ext-real Element of REAL
(f (#) z) . h is V11() V12() ext-real Element of REAL
(f (#) z) . (h - x) is V11() V12() ext-real Element of REAL
((f (#) z) . h) - ((f (#) z) . (h - x)) is V11() V12() ext-real Element of REAL
K38(((f (#) z) . (h - x))) is V11() V12() ext-real set
K36(((f (#) z) . h),K38(((f (#) z) . (h - x)))) is V11() V12() ext-real set
z . h is V11() V12() ext-real Element of REAL
(f . h) * (z . h) is V11() V12() ext-real Element of REAL
((f . h) * (z . h)) - ((f (#) z) . (h - x)) is V11() V12() ext-real Element of REAL
K36(((f . h) * (z . h)),K38(((f (#) z) . (h - x)))) is V11() V12() ext-real set
f . (h - x) is V11() V12() ext-real Element of REAL
(f . (h - x)) * (z . (h - x)) is V11() V12() ext-real Element of REAL
((f . h) * (z . h)) - ((f . (h - x)) * (z . (h - x))) is V11() V12() ext-real Element of REAL
K38(((f . (h - x)) * (z . (h - x)))) is V11() V12() ext-real set
K36(((f . h) * (z . h)),K38(((f . (h - x)) * (z . (h - x))))) is V11() V12() ext-real set
(z . h) - (z . (h - x)) is V11() V12() ext-real Element of REAL
K38((z . (h - x))) is V11() V12() ext-real set
K36((z . h),K38((z . (h - x)))) is V11() V12() ext-real set
(f . h) * ((z . h) - (z . (h - x))) is V11() V12() ext-real Element of REAL
(f . h) - (f . (h - x)) is V11() V12() ext-real Element of REAL
K38((f . (h - x))) is V11() V12() ext-real set
K36((f . h),K38((f . (h - x)))) is V11() V12() ext-real set
(z . (h - x)) * ((f . h) - (f . (h - x))) is V11() V12() ext-real Element of REAL
((f . h) * ((z . h) - (z . (h - x)))) + ((z . (h - x)) * ((f . h) - (f . (h - x)))) is V11() V12() ext-real Element of REAL
bD (z,x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (z,K38(x)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
z - (Shift (z,K38(x))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(bD (z,x)) . h is V11() V12() ext-real Element of REAL
(f . h) * ((bD (z,x)) . h) is V11() V12() ext-real Element of REAL
((f . h) * ((bD (z,x)) . h)) + ((z . (h - x)) * ((f . h) - (f . (h - x)))) is V11() V12() ext-real Element of REAL
bD (f,x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (f,K38(x)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
f - (Shift (f,K38(x))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(bD (f,x)) . h is V11() V12() ext-real Element of REAL
(z . (h - x)) * ((bD (f,x)) . h) is V11() V12() ext-real Element of REAL
((f . h) * ((bD (z,x)) . h)) + ((z . (h - x)) * ((bD (f,x)) . h)) is V11() V12() ext-real Element of REAL
(backward_difference (z,x)) . 0 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
bD (((backward_difference (z,x)) . 0),x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (((backward_difference (z,x)) . 0),K38(x)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference (z,x)) . 0) - (Shift (((backward_difference (z,x)) . 0),K38(x))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(bD (((backward_difference (z,x)) . 0),x)) . h is V11() V12() ext-real Element of REAL
(f . h) * ((bD (((backward_difference (z,x)) . 0),x)) . h) is V11() V12() ext-real Element of REAL
((f . h) * ((bD (((backward_difference (z,x)) . 0),x)) . h)) + ((z . (h - x)) * ((bD (f,x)) . h)) is V11() V12() ext-real Element of REAL
(backward_difference (f,x)) . 0 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
bD (((backward_difference (f,x)) . 0),x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (((backward_difference (f,x)) . 0),K38(x)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference (f,x)) . 0) - (Shift (((backward_difference (f,x)) . 0),K38(x))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(bD (((backward_difference (f,x)) . 0),x)) . h is V11() V12() ext-real Element of REAL
(z . (h - x)) * ((bD (((backward_difference (f,x)) . 0),x)) . h) is V11() V12() ext-real Element of REAL
((f . h) * ((bD (((backward_difference (z,x)) . 0),x)) . h)) + ((z . (h - x)) * ((bD (((backward_difference (f,x)) . 0),x)) . h)) is V11() V12() ext-real Element of REAL
(backward_difference (z,x)) . (0 + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference (z,x)) . (0 + 1)) . h is V11() V12() ext-real Element of REAL
(f . h) * (((backward_difference (z,x)) . (0 + 1)) . h) is V11() V12() ext-real Element of REAL
((f . h) * (((backward_difference (z,x)) . (0 + 1)) . h)) + ((z . (h - x)) * ((bD (((backward_difference (f,x)) . 0),x)) . h)) is V11() V12() ext-real Element of REAL
x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
f is V11() V12() ext-real Element of REAL
z is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
[!z,x,h,f!] is V11() V12() ext-real Element of REAL
[!z,x,h!] is V11() V12() ext-real Element of REAL
z . x is V11() V12() ext-real Element of REAL
z . h is V11() V12() ext-real Element of REAL
(z . x) - (z . h) is V11() V12() ext-real Element of REAL
K38((z . h)) is V11() V12() ext-real set
K36((z . x),K38((z . h))) is V11() V12() ext-real set
K40(x,h) is V11() V12() ext-real set
K38(h) is V11() V12() ext-real set
K36(x,K38(h)) is V11() V12() ext-real set
((z . x) - (z . h)) / K40(x,h) is V11() V12() ext-real Element of REAL
K39(K40(x,h)) is V11() V12() ext-real set
K37(((z . x) - (z . h)),K39(K40(x,h))) is V11() V12() ext-real set
[!z,h,f!] is V11() V12() ext-real Element of REAL
z . f is V11() V12() ext-real Element of REAL
(z . h) - (z . f) is V11() V12() ext-real Element of REAL
K38((z . f)) is V11() V12() ext-real set
K36((z . h),K38((z . f))) is V11() V12() ext-real set
K40(h,f) is V11() V12() ext-real set
K38(f) is V11() V12() ext-real set
K36(h,K38(f)) is V11() V12() ext-real set
((z . h) - (z . f)) / K40(h,f) is V11() V12() ext-real Element of REAL
K39(K40(h,f)) is V11() V12() ext-real set
K37(((z . h) - (z . f)),K39(K40(h,f))) is V11() V12() ext-real set
[!z,x,h!] - [!z,h,f!] is V11() V12() ext-real Element of REAL
K38([!z,h,f!]) is V11() V12() ext-real set
K36([!z,x,h!],K38([!z,h,f!])) is V11() V12() ext-real set
K40(x,f) is V11() V12() ext-real set
K36(x,K38(f)) is V11() V12() ext-real set
([!z,x,h!] - [!z,h,f!]) / K40(x,f) is V11() V12() ext-real Element of REAL
K39(K40(x,f)) is V11() V12() ext-real set
K37(([!z,x,h!] - [!z,h,f!]),K39(K40(x,f))) is V11() V12() ext-real set
[!z,x,f,h!] is V11() V12() ext-real Element of REAL
[!z,x,f!] is V11() V12() ext-real Element of REAL
(z . x) - (z . f) is V11() V12() ext-real Element of REAL
K36((z . x),K38((z . f))) is V11() V12() ext-real set
((z . x) - (z . f)) / K40(x,f) is V11() V12() ext-real Element of REAL
K37(((z . x) - (z . f)),K39(K40(x,f))) is V11() V12() ext-real set
[!z,f,h!] is V11() V12() ext-real Element of REAL
(z . f) - (z . h) is V11() V12() ext-real Element of REAL
K36((z . f),K38((z . h))) is V11() V12() ext-real set
K40(f,h) is V11() V12() ext-real set
K36(f,K38(h)) is V11() V12() ext-real set
((z . f) - (z . h)) / K40(f,h) is V11() V12() ext-real Element of REAL
K39(K40(f,h)) is V11() V12() ext-real set
K37(((z . f) - (z . h)),K39(K40(f,h))) is V11() V12() ext-real set
[!z,x,f!] - [!z,f,h!] is V11() V12() ext-real Element of REAL
K38([!z,f,h!]) is V11() V12() ext-real set
K36([!z,x,f!],K38([!z,f,h!])) is V11() V12() ext-real set
([!z,x,f!] - [!z,f,h!]) / K40(x,h) is V11() V12() ext-real Element of REAL
K37(([!z,x,f!] - [!z,f,h!]),K39(K40(x,h))) is V11() V12() ext-real set
f - h is V11() V12() ext-real Element of REAL
f - x is V11() V12() ext-real Element of REAL
K38(x) is V11() V12() ext-real set
K36(f,K38(x)) is V11() V12() ext-real set
h - x is V11() V12() ext-real Element of REAL
K36(h,K38(x)) is V11() V12() ext-real set
z . x is V11() V12() ext-real Element of REAL
z . f is V11() V12() ext-real Element of REAL
(z . x) - (z . f) is V11() V12() ext-real Element of REAL
K38((z . f)) is V11() V12() ext-real set
K36((z . x),K38((z . f))) is V11() V12() ext-real set
- (f - x) is V11() V12() ext-real Element of REAL
((z . x) - (z . f)) / (- (f - x)) is V11() V12() ext-real Element of REAL
K39((- (f - x))) is V11() V12() ext-real set
K37(((z . x) - (z . f)),K39((- (f - x)))) is V11() V12() ext-real set
z . h is V11() V12() ext-real Element of REAL
(z . f) - (z . h) is V11() V12() ext-real Element of REAL
K38((z . h)) is V11() V12() ext-real set
K36((z . f),K38((z . h))) is V11() V12() ext-real set
((z . f) - (z . h)) / (f - h) is V11() V12() ext-real Element of REAL
K39((f - h)) is V11() V12() ext-real set
K37(((z . f) - (z . h)),K39((f - h))) is V11() V12() ext-real set
(((z . x) - (z . f)) / (- (f - x))) - (((z . f) - (z . h)) / (f - h)) is V11() V12() ext-real Element of REAL
K38((((z . f) - (z . h)) / (f - h))) is V11() V12() ext-real set
K36((((z . x) - (z . f)) / (- (f - x))),K38((((z . f) - (z . h)) / (f - h)))) is V11() V12() ext-real set
- (h - x) is V11() V12() ext-real Element of REAL
((((z . x) - (z . f)) / (- (f - x))) - (((z . f) - (z . h)) / (f - h))) / (- (h - x)) is V11() V12() ext-real Element of REAL
K39((- (h - x))) is V11() V12() ext-real set
K37(((((z . x) - (z . f)) / (- (f - x))) - (((z . f) - (z . h)) / (f - h))),K39((- (h - x)))) is V11() V12() ext-real set
((z . x) - (z . f)) / (f - x) is V11() V12() ext-real Element of REAL
K39((f - x)) is V11() V12() ext-real set
K37(((z . x) - (z . f)),K39((f - x))) is V11() V12() ext-real set
- (((z . x) - (z . f)) / (f - x)) is V11() V12() ext-real Element of REAL
(- (((z . x) - (z . f)) / (f - x))) - (((z . f) - (z . h)) / (f - h)) is V11() V12() ext-real Element of REAL
K36((- (((z . x) - (z . f)) / (f - x))),K38((((z . f) - (z . h)) / (f - h)))) is V11() V12() ext-real set
((- (((z . x) - (z . f)) / (f - x))) - (((z . f) - (z . h)) / (f - h))) / (- (h - x)) is V11() V12() ext-real Element of REAL
K37(((- (((z . x) - (z . f)) / (f - x))) - (((z . f) - (z . h)) / (f - h))),K39((- (h - x)))) is V11() V12() ext-real set
(((z . x) - (z . f)) / (f - x)) + (((z . f) - (z . h)) / (f - h)) is V11() V12() ext-real Element of REAL
- ((((z . x) - (z . f)) / (f - x)) + (((z . f) - (z . h)) / (f - h))) is V11() V12() ext-real Element of REAL
(- ((((z . x) - (z . f)) / (f - x)) + (((z . f) - (z . h)) / (f - h)))) / (- (h - x)) is V11() V12() ext-real Element of REAL
K37((- ((((z . x) - (z . f)) / (f - x)) + (((z . f) - (z . h)) / (f - h)))),K39((- (h - x)))) is V11() V12() ext-real set
((((z . x) - (z . f)) / (f - x)) + (((z . f) - (z . h)) / (f - h))) / (h - x) is V11() V12() ext-real Element of REAL
K39((h - x)) is V11() V12() ext-real set
K37(((((z . x) - (z . f)) / (f - x)) + (((z . f) - (z . h)) / (f - h))),K39((h - x))) is V11() V12() ext-real set
((z . x) - (z . f)) * (f - h) is V11() V12() ext-real Element of REAL
((z . f) - (z . h)) * (f - x) is V11() V12() ext-real Element of REAL
(((z . x) - (z . f)) * (f - h)) + (((z . f) - (z . h)) * (f - x)) is V11() V12() ext-real Element of REAL
(f - x) * (f - h) is V11() V12() ext-real Element of REAL
((((z . x) - (z . f)) * (f - h)) + (((z . f) - (z . h)) * (f - x))) / ((f - x) * (f - h)) is V11() V12() ext-real Element of REAL
K39(((f - x) * (f - h))) is V11() V12() ext-real set
K37(((((z . x) - (z . f)) * (f - h)) + (((z . f) - (z . h)) * (f - x))),K39(((f - x) * (f - h)))) is V11() V12() ext-real set
(((((z . x) - (z . f)) * (f - h)) + (((z . f) - (z . h)) * (f - x))) / ((f - x) * (f - h))) / (h - x) is V11() V12() ext-real Element of REAL
K37((((((z . x) - (z . f)) * (f - h)) + (((z . f) - (z . h)) * (f - x))) / ((f - x) * (f - h))),K39((h - x))) is V11() V12() ext-real set
(z . x) * (f - h) is V11() V12() ext-real Element of REAL
(z . h) * (f - x) is V11() V12() ext-real Element of REAL
((z . x) * (f - h)) - ((z . h) * (f - x)) is V11() V12() ext-real Element of REAL
K38(((z . h) * (f - x))) is V11() V12() ext-real set
K36(((z . x) * (f - h)),K38(((z . h) * (f - x)))) is V11() V12() ext-real set
(z . f) * (h - x) is V11() V12() ext-real Element of REAL
(((z . x) * (f - h)) - ((z . h) * (f - x))) + ((z . f) * (h - x)) is V11() V12() ext-real Element of REAL
((f - x) * (f - h)) * (h - x) is V11() V12() ext-real Element of REAL
((((z . x) * (f - h)) - ((z . h) * (f - x))) + ((z . f) * (h - x))) / (((f - x) * (f - h)) * (h - x)) is V11() V12() ext-real Element of REAL
K39((((f - x) * (f - h)) * (h - x))) is V11() V12() ext-real set
K37(((((z . x) * (f - h)) - ((z . h) * (f - x))) + ((z . f) * (h - x))),K39((((f - x) * (f - h)) * (h - x)))) is V11() V12() ext-real set
(z . x) - (z . h) is V11() V12() ext-real Element of REAL
K36((z . x),K38((z . h))) is V11() V12() ext-real set
((z . x) - (z . h)) / (- (h - x)) is V11() V12() ext-real Element of REAL
K37(((z . x) - (z . h)),K39((- (h - x)))) is V11() V12() ext-real set
(z . h) - (z . f) is V11() V12() ext-real Element of REAL
K36((z . h),K38((z . f))) is V11() V12() ext-real set
- (f - h) is V11() V12() ext-real Element of REAL
((z . h) - (z . f)) / (- (f - h)) is V11() V12() ext-real Element of REAL
K39((- (f - h))) is V11() V12() ext-real set
K37(((z . h) - (z . f)),K39((- (f - h)))) is V11() V12() ext-real set
(((z . x) - (z . h)) / (- (h - x))) - (((z . h) - (z . f)) / (- (f - h))) is V11() V12() ext-real Element of REAL
K38((((z . h) - (z . f)) / (- (f - h)))) is V11() V12() ext-real set
K36((((z . x) - (z . h)) / (- (h - x))),K38((((z . h) - (z . f)) / (- (f - h))))) is V11() V12() ext-real set
((((z . x) - (z . h)) / (- (h - x))) - (((z . h) - (z . f)) / (- (f - h)))) / (- (f - x)) is V11() V12() ext-real Element of REAL
K37(((((z . x) - (z . h)) / (- (h - x))) - (((z . h) - (z . f)) / (- (f - h)))),K39((- (f - x)))) is V11() V12() ext-real set
((z . x) - (z . h)) / (h - x) is V11() V12() ext-real Element of REAL
K37(((z . x) - (z . h)),K39((h - x))) is V11() V12() ext-real set
- (((z . x) - (z . h)) / (h - x)) is V11() V12() ext-real Element of REAL
(- (((z . x) - (z . h)) / (h - x))) - (((z . h) - (z . f)) / (- (f - h))) is V11() V12() ext-real Element of REAL
K36((- (((z . x) - (z . h)) / (h - x))),K38((((z . h) - (z . f)) / (- (f - h))))) is V11() V12() ext-real set
((- (((z . x) - (z . h)) / (h - x))) - (((z . h) - (z . f)) / (- (f - h)))) / (- (f - x)) is V11() V12() ext-real Element of REAL
K37(((- (((z . x) - (z . h)) / (h - x))) - (((z . h) - (z . f)) / (- (f - h)))),K39((- (f - x)))) is V11() V12() ext-real set
((z . h) - (z . f)) / (f - h) is V11() V12() ext-real Element of REAL
K37(((z . h) - (z . f)),K39((f - h))) is V11() V12() ext-real set
- (((z . h) - (z . f)) / (f - h)) is V11() V12() ext-real Element of REAL
(- (((z . x) - (z . h)) / (h - x))) - (- (((z . h) - (z . f)) / (f - h))) is V11() V12() ext-real Element of REAL
K38((- (((z . h) - (z . f)) / (f - h)))) is V11() V12() ext-real set
K36((- (((z . x) - (z . h)) / (h - x))),K38((- (((z . h) - (z . f)) / (f - h))))) is V11() V12() ext-real set
((- (((z . x) - (z . h)) / (h - x))) - (- (((z . h) - (z . f)) / (f - h)))) / (- (f - x)) is V11() V12() ext-real Element of REAL
K37(((- (((z . x) - (z . h)) / (h - x))) - (- (((z . h) - (z . f)) / (f - h)))),K39((- (f - x)))) is V11() V12() ext-real set
(((z . x) - (z . h)) / (h - x)) - (((z . h) - (z . f)) / (f - h)) is V11() V12() ext-real Element of REAL
K38((((z . h) - (z . f)) / (f - h))) is V11() V12() ext-real set
K36((((z . x) - (z . h)) / (h - x)),K38((((z . h) - (z . f)) / (f - h)))) is V11() V12() ext-real set
- ((((z . x) - (z . h)) / (h - x)) - (((z . h) - (z . f)) / (f - h))) is V11() V12() ext-real Element of REAL
(- ((((z . x) - (z . h)) / (h - x)) - (((z . h) - (z . f)) / (f - h)))) / (- (f - x)) is V11() V12() ext-real Element of REAL
K37((- ((((z . x) - (z . h)) / (h - x)) - (((z . h) - (z . f)) / (f - h)))),K39((- (f - x)))) is V11() V12() ext-real set
((((z . x) - (z . h)) / (h - x)) - (((z . h) - (z . f)) / (f - h))) / (f - x) is V11() V12() ext-real Element of REAL
K37(((((z . x) - (z . h)) / (h - x)) - (((z . h) - (z . f)) / (f - h))),K39((f - x))) is V11() V12() ext-real set
((z . x) - (z . h)) * (f - h) is V11() V12() ext-real Element of REAL
((z . h) - (z . f)) * (h - x) is V11() V12() ext-real Element of REAL
(((z . x) - (z . h)) * (f - h)) - (((z . h) - (z . f)) * (h - x)) is V11() V12() ext-real Element of REAL
K38((((z . h) - (z . f)) * (h - x))) is V11() V12() ext-real set
K36((((z . x) - (z . h)) * (f - h)),K38((((z . h) - (z . f)) * (h - x)))) is V11() V12() ext-real set
(h - x) * (f - h) is V11() V12() ext-real Element of REAL
((((z . x) - (z . h)) * (f - h)) - (((z . h) - (z . f)) * (h - x))) / ((h - x) * (f - h)) is V11() V12() ext-real Element of REAL
K39(((h - x) * (f - h))) is V11() V12() ext-real set
K37(((((z . x) - (z . h)) * (f - h)) - (((z . h) - (z . f)) * (h - x))),K39(((h - x) * (f - h)))) is V11() V12() ext-real set
(((((z . x) - (z . h)) * (f - h)) - (((z . h) - (z . f)) * (h - x))) / ((h - x) * (f - h))) / (f - x) is V11() V12() ext-real Element of REAL
K37((((((z . x) - (z . h)) * (f - h)) - (((z . h) - (z . f)) * (h - x))) / ((h - x) * (f - h))),K39((f - x))) is V11() V12() ext-real set
((h - x) * (f - h)) * (f - x) is V11() V12() ext-real Element of REAL
((((z . x) * (f - h)) - ((z . h) * (f - x))) + ((z . f) * (h - x))) / (((h - x) * (f - h)) * (f - x)) is V11() V12() ext-real Element of REAL
K39((((h - x) * (f - h)) * (f - x))) is V11() V12() ext-real set
K37(((((z . x) * (f - h)) - ((z . h) * (f - x))) + ((z . f) * (h - x))),K39((((h - x) * (f - h)) * (f - x)))) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
backward_difference (f,x) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
z is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
backward_difference (z,x) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
f (#) z is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
backward_difference ((f (#) z),x) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(backward_difference ((f (#) z),x)) . 1 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference ((f (#) z),x)) . 1) . h is V11() V12() ext-real Element of REAL
(backward_difference ((f (#) z),x)) . 2 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference ((f (#) z),x)) . 2) . h is V11() V12() ext-real Element of REAL
f is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Sequence-yielding Element of bool [:NAT,K69(REAL,REAL):]
f . 1 is V13() V16( NAT ) V17( REAL ) V18() V23( NAT ) V27( NAT , REAL ) V33() V34() V35() Element of bool [:NAT,REAL:]
Sum ((f . 1),1) is V11() V12() ext-real Element of REAL
f . 2 is V13() V16( NAT ) V17( REAL ) V18() V23( NAT ) V27( NAT , REAL ) V33() V34() V35() Element of bool [:NAT,REAL:]
Sum ((f . 2),2) is V11() V12() ext-real Element of REAL
1 -' 0 is V10() V11() V12() ext-real non negative V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
1 - 0 is V11() V12() ext-real Element of REAL
K38(0) is V11() V12() ext-real set
K36(1,K38(0)) is V11() V12() ext-real set
(f . 1) . 0 is V11() V12() ext-real Element of REAL
1 choose 0 is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
(backward_difference (f,x)) . 0 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference (f,x)) . 0) . h is V11() V12() ext-real Element of REAL
(1 choose 0) * (((backward_difference (f,x)) . 0) . h) is V11() V12() ext-real Element of REAL
(backward_difference (z,x)) . (1 -' 0) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
0 * x is V11() V12() ext-real Element of REAL
h - (0 * x) is V11() V12() ext-real Element of REAL
K38((0 * x)) is V11() V12() ext-real set
K36(h,K38((0 * x))) is V11() V12() ext-real set
((backward_difference (z,x)) . (1 -' 0)) . (h - (0 * x)) is V11() V12() ext-real Element of REAL
((1 choose 0) * (((backward_difference (f,x)) . 0) . h)) * (((backward_difference (z,x)) . (1 -' 0)) . (h - (0 * x))) is V11() V12() ext-real Element of REAL
1 * (((backward_difference (f,x)) . 0) . h) is V11() V12() ext-real Element of REAL
(1 * (((backward_difference (f,x)) . 0) . h)) * (((backward_difference (z,x)) . (1 -' 0)) . (h - (0 * x))) is V11() V12() ext-real Element of REAL
f . h is V11() V12() ext-real Element of REAL
(backward_difference (z,x)) . 1 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference (z,x)) . 1) . h is V11() V12() ext-real Element of REAL
(f . h) * (((backward_difference (z,x)) . 1) . h) is V11() V12() ext-real Element of REAL
1 -' 1 is V10() V11() V12() ext-real non negative V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
1 - 1 is V11() V12() ext-real Element of REAL
K38(1) is V1() V11() V12() ext-real set
K36(1,K38(1)) is V11() V12() ext-real set
(f . 1) . 1 is V11() V12() ext-real Element of REAL
1 choose 1 is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
(backward_difference (f,x)) . 1 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference (f,x)) . 1) . h is V11() V12() ext-real Element of REAL
(1 choose 1) * (((backward_difference (f,x)) . 1) . h) is V11() V12() ext-real Element of REAL
(backward_difference (z,x)) . (1 -' 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
1 * x is V11() V12() ext-real Element of REAL
h - (1 * x) is V11() V12() ext-real Element of REAL
K38((1 * x)) is V11() V12() ext-real set
K36(h,K38((1 * x))) is V11() V12() ext-real set
((backward_difference (z,x)) . (1 -' 1)) . (h - (1 * x)) is V11() V12() ext-real Element of REAL
((1 choose 1) * (((backward_difference (f,x)) . 1) . h)) * (((backward_difference (z,x)) . (1 -' 1)) . (h - (1 * x))) is V11() V12() ext-real Element of REAL
1 * (((backward_difference (f,x)) . 1) . h) is V11() V12() ext-real Element of REAL
(1 * (((backward_difference (f,x)) . 1) . h)) * (((backward_difference (z,x)) . (1 -' 1)) . (h - (1 * x))) is V11() V12() ext-real Element of REAL
h - x is V11() V12() ext-real Element of REAL
K38(x) is V11() V12() ext-real set
K36(h,K38(x)) is V11() V12() ext-real set
z . (h - x) is V11() V12() ext-real Element of REAL
(z . (h - x)) * (((backward_difference (f,x)) . 1) . h) is V11() V12() ext-real Element of REAL
Partial_Sums (f . 1) is V13() V16( NAT ) V17( REAL ) V18() V23( NAT ) V27( NAT , REAL ) V33() V34() V35() Element of bool [:NAT,REAL:]
0 + 1 is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
(Partial_Sums (f . 1)) . (0 + 1) is V11() V12() ext-real Element of REAL
(Partial_Sums (f . 1)) . 0 is V11() V12() ext-real Element of REAL
((Partial_Sums (f . 1)) . 0) + ((f . 1) . 1) is V11() V12() ext-real Element of REAL
((f . 1) . 0) + ((f . 1) . 1) is V11() V12() ext-real Element of REAL
1 + 1 is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
(backward_difference ((f (#) z),x)) . (1 + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference ((f (#) z),x)) . (1 + 1)) . h is V11() V12() ext-real Element of REAL
bD (((backward_difference ((f (#) z),x)) . 1),x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (((backward_difference ((f (#) z),x)) . 1),K38(x)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference ((f (#) z),x)) . 1) - (Shift (((backward_difference ((f (#) z),x)) . 1),K38(x))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(bD (((backward_difference ((f (#) z),x)) . 1),x)) . h is V11() V12() ext-real Element of REAL
((backward_difference ((f (#) z),x)) . 1) . (h - x) is V11() V12() ext-real Element of REAL
(((backward_difference ((f (#) z),x)) . 1) . h) - (((backward_difference ((f (#) z),x)) . 1) . (h - x)) is V11() V12() ext-real Element of REAL
K38((((backward_difference ((f (#) z),x)) . 1) . (h - x))) is V11() V12() ext-real set
K36((((backward_difference ((f (#) z),x)) . 1) . h),K38((((backward_difference ((f (#) z),x)) . 1) . (h - x)))) is V11() V12() ext-real set
(((backward_difference (f,x)) . 1) . h) * (z . (h - x)) is V11() V12() ext-real Element of REAL
((f . h) * (((backward_difference (z,x)) . 1) . h)) + ((((backward_difference (f,x)) . 1) . h) * (z . (h - x))) is V11() V12() ext-real Element of REAL
(((f . h) * (((backward_difference (z,x)) . 1) . h)) + ((((backward_difference (f,x)) . 1) . h) * (z . (h - x)))) - (((backward_difference ((f (#) z),x)) . 1) . (h - x)) is V11() V12() ext-real Element of REAL
K36((((f . h) * (((backward_difference (z,x)) . 1) . h)) + ((((backward_difference (f,x)) . 1) . h) * (z . (h - x)))),K38((((backward_difference ((f (#) z),x)) . 1) . (h - x)))) is V11() V12() ext-real set
f . (h - x) is V11() V12() ext-real Element of REAL
((backward_difference (z,x)) . 1) . (h - x) is V11() V12() ext-real Element of REAL
(f . (h - x)) * (((backward_difference (z,x)) . 1) . (h - x)) is V11() V12() ext-real Element of REAL
((backward_difference (f,x)) . 1) . (h - x) is V11() V12() ext-real Element of REAL
(h - x) - x is V11() V12() ext-real Element of REAL
K36((h - x),K38(x)) is V11() V12() ext-real set
z . ((h - x) - x) is V11() V12() ext-real Element of REAL
(((backward_difference (f,x)) . 1) . (h - x)) * (z . ((h - x) - x)) is V11() V12() ext-real Element of REAL
((f . (h - x)) * (((backward_difference (z,x)) . 1) . (h - x))) + ((((backward_difference (f,x)) . 1) . (h - x)) * (z . ((h - x) - x))) is V11() V12() ext-real Element of REAL
(((f . h) * (((backward_difference (z,x)) . 1) . h)) + ((((backward_difference (f,x)) . 1) . h) * (z . (h - x)))) - (((f . (h - x)) * (((backward_difference (z,x)) . 1) . (h - x))) + ((((backward_difference (f,x)) . 1) . (h - x)) * (z . ((h - x) - x)))) is V11() V12() ext-real Element of REAL
K38((((f . (h - x)) * (((backward_difference (z,x)) . 1) . (h - x))) + ((((backward_difference (f,x)) . 1) . (h - x)) * (z . ((h - x) - x))))) is V11() V12() ext-real set
K36((((f . h) * (((backward_difference (z,x)) . 1) . h)) + ((((backward_difference (f,x)) . 1) . h) * (z . (h - x)))),K38((((f . (h - x)) * (((backward_difference (z,x)) . 1) . (h - x))) + ((((backward_difference (f,x)) . 1) . (h - x)) * (z . ((h - x) - x)))))) is V11() V12() ext-real set
(((backward_difference (z,x)) . 1) . h) - (((backward_difference (z,x)) . 1) . (h - x)) is V11() V12() ext-real Element of REAL
K38((((backward_difference (z,x)) . 1) . (h - x))) is V11() V12() ext-real set
K36((((backward_difference (z,x)) . 1) . h),K38((((backward_difference (z,x)) . 1) . (h - x)))) is V11() V12() ext-real set
(f . h) * ((((backward_difference (z,x)) . 1) . h) - (((backward_difference (z,x)) . 1) . (h - x))) is V11() V12() ext-real Element of REAL
(f . h) - (f . (h - x)) is V11() V12() ext-real Element of REAL
K38((f . (h - x))) is V11() V12() ext-real set
K36((f . h),K38((f . (h - x)))) is V11() V12() ext-real set
((f . h) - (f . (h - x))) * (((backward_difference (z,x)) . 1) . (h - x)) is V11() V12() ext-real Element of REAL
((f . h) * ((((backward_difference (z,x)) . 1) . h) - (((backward_difference (z,x)) . 1) . (h - x)))) + (((f . h) - (f . (h - x))) * (((backward_difference (z,x)) . 1) . (h - x))) is V11() V12() ext-real Element of REAL
(((backward_difference (f,x)) . 1) . (h - x)) - (((backward_difference (f,x)) . 1) . h) is V11() V12() ext-real Element of REAL
K38((((backward_difference (f,x)) . 1) . h)) is V11() V12() ext-real set
K36((((backward_difference (f,x)) . 1) . (h - x)),K38((((backward_difference (f,x)) . 1) . h))) is V11() V12() ext-real set
2 * x is V11() V12() ext-real Element of REAL
h - (2 * x) is V11() V12() ext-real Element of REAL
K38((2 * x)) is V11() V12() ext-real set
K36(h,K38((2 * x))) is V11() V12() ext-real set
z . (h - (2 * x)) is V11() V12() ext-real Element of REAL
((((backward_difference (f,x)) . 1) . (h - x)) - (((backward_difference (f,x)) . 1) . h)) * (z . (h - (2 * x))) is V11() V12() ext-real Element of REAL
(((f . h) * ((((backward_difference (z,x)) . 1) . h) - (((backward_difference (z,x)) . 1) . (h - x)))) + (((f . h) - (f . (h - x))) * (((backward_difference (z,x)) . 1) . (h - x)))) - (((((backward_difference (f,x)) . 1) . (h - x)) - (((backward_difference (f,x)) . 1) . h)) * (z . (h - (2 * x)))) is V11() V12() ext-real Element of REAL
K38((((((backward_difference (f,x)) . 1) . (h - x)) - (((backward_difference (f,x)) . 1) . h)) * (z . (h - (2 * x))))) is V11() V12() ext-real set
K36((((f . h) * ((((backward_difference (z,x)) . 1) . h) - (((backward_difference (z,x)) . 1) . (h - x)))) + (((f . h) - (f . (h - x))) * (((backward_difference (z,x)) . 1) . (h - x)))),K38((((((backward_difference (f,x)) . 1) . (h - x)) - (((backward_difference (f,x)) . 1) . h)) * (z . (h - (2 * x)))))) is V11() V12() ext-real set
(z . (h - (2 * x))) - (z . (h - x)) is V11() V12() ext-real Element of REAL
K38((z . (h - x))) is V11() V12() ext-real set
K36((z . (h - (2 * x))),K38((z . (h - x)))) is V11() V12() ext-real set
(((backward_difference (f,x)) . 1) . h) * ((z . (h - (2 * x))) - (z . (h - x))) is V11() V12() ext-real Element of REAL
((((f . h) * ((((backward_difference (z,x)) . 1) . h) - (((backward_difference (z,x)) . 1) . (h - x)))) + (((f . h) - (f . (h - x))) * (((backward_difference (z,x)) . 1) . (h - x)))) - (((((backward_difference (f,x)) . 1) . (h - x)) - (((backward_difference (f,x)) . 1) . h)) * (z . (h - (2 * x))))) - ((((backward_difference (f,x)) . 1) . h) * ((z . (h - (2 * x))) - (z . (h - x)))) is V11() V12() ext-real Element of REAL
K38(((((backward_difference (f,x)) . 1) . h) * ((z . (h - (2 * x))) - (z . (h - x))))) is V11() V12() ext-real set
K36(((((f . h) * ((((backward_difference (z,x)) . 1) . h) - (((backward_difference (z,x)) . 1) . (h - x)))) + (((f . h) - (f . (h - x))) * (((backward_difference (z,x)) . 1) . (h - x)))) - (((((backward_difference (f,x)) . 1) . (h - x)) - (((backward_difference (f,x)) . 1) . h)) * (z . (h - (2 * x))))),K38(((((backward_difference (f,x)) . 1) . h) * ((z . (h - (2 * x))) - (z . (h - x)))))) is V11() V12() ext-real set
bD (((backward_difference (z,x)) . 1),x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (((backward_difference (z,x)) . 1),K38(x)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference (z,x)) . 1) - (Shift (((backward_difference (z,x)) . 1),K38(x))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(bD (((backward_difference (z,x)) . 1),x)) . h is V11() V12() ext-real Element of REAL
(f . h) * ((bD (((backward_difference (z,x)) . 1),x)) . h) is V11() V12() ext-real Element of REAL
((f . h) * ((bD (((backward_difference (z,x)) . 1),x)) . h)) + (((f . h) - (f . (h - x))) * (((backward_difference (z,x)) . 1) . (h - x))) is V11() V12() ext-real Element of REAL
(((f . h) * ((bD (((backward_difference (z,x)) . 1),x)) . h)) + (((f . h) - (f . (h - x))) * (((backward_difference (z,x)) . 1) . (h - x)))) - (((((backward_difference (f,x)) . 1) . (h - x)) - (((backward_difference (f,x)) . 1) . h)) * (z . (h - (2 * x)))) is V11() V12() ext-real Element of REAL
K36((((f . h) * ((bD (((backward_difference (z,x)) . 1),x)) . h)) + (((f . h) - (f . (h - x))) * (((backward_difference (z,x)) . 1) . (h - x)))),K38((((((backward_difference (f,x)) . 1) . (h - x)) - (((backward_difference (f,x)) . 1) . h)) * (z . (h - (2 * x)))))) is V11() V12() ext-real set
((((f . h) * ((bD (((backward_difference (z,x)) . 1),x)) . h)) + (((f . h) - (f . (h - x))) * (((backward_difference (z,x)) . 1) . (h - x)))) - (((((backward_difference (f,x)) . 1) . (h - x)) - (((backward_difference (f,x)) . 1) . h)) * (z . (h - (2 * x))))) - ((((backward_difference (f,x)) . 1) . h) * ((z . (h - (2 * x))) - (z . (h - x)))) is V11() V12() ext-real Element of REAL
K36(((((f . h) * ((bD (((backward_difference (z,x)) . 1),x)) . h)) + (((f . h) - (f . (h - x))) * (((backward_difference (z,x)) . 1) . (h - x)))) - (((((backward_difference (f,x)) . 1) . (h - x)) - (((backward_difference (f,x)) . 1) . h)) * (z . (h - (2 * x))))),K38(((((backward_difference (f,x)) . 1) . h) * ((z . (h - (2 * x))) - (z . (h - x)))))) is V11() V12() ext-real set
bD (f,x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (f,K38(x)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
f - (Shift (f,K38(x))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(bD (f,x)) . h is V11() V12() ext-real Element of REAL
((bD (f,x)) . h) * (((backward_difference (z,x)) . 1) . (h - x)) is V11() V12() ext-real Element of REAL
((f . h) * ((bD (((backward_difference (z,x)) . 1),x)) . h)) + (((bD (f,x)) . h) * (((backward_difference (z,x)) . 1) . (h - x))) is V11() V12() ext-real Element of REAL
(((backward_difference (f,x)) . 1) . h) - (((backward_difference (f,x)) . 1) . (h - x)) is V11() V12() ext-real Element of REAL
K38((((backward_difference (f,x)) . 1) . (h - x))) is V11() V12() ext-real set
K36((((backward_difference (f,x)) . 1) . h),K38((((backward_difference (f,x)) . 1) . (h - x)))) is V11() V12() ext-real set
((((backward_difference (f,x)) . 1) . h) - (((backward_difference (f,x)) . 1) . (h - x))) * (z . (h - (2 * x))) is V11() V12() ext-real Element of REAL
(((f . h) * ((bD (((backward_difference (z,x)) . 1),x)) . h)) + (((bD (f,x)) . h) * (((backward_difference (z,x)) . 1) . (h - x)))) + (((((backward_difference (f,x)) . 1) . h) - (((backward_difference (f,x)) . 1) . (h - x))) * (z . (h - (2 * x)))) is V11() V12() ext-real Element of REAL
((((f . h) * ((bD (((backward_difference (z,x)) . 1),x)) . h)) + (((bD (f,x)) . h) * (((backward_difference (z,x)) . 1) . (h - x)))) + (((((backward_difference (f,x)) . 1) . h) - (((backward_difference (f,x)) . 1) . (h - x))) * (z . (h - (2 * x))))) - ((((backward_difference (f,x)) . 1) . h) * ((z . (h - (2 * x))) - (z . (h - x)))) is V11() V12() ext-real Element of REAL
K36(((((f . h) * ((bD (((backward_difference (z,x)) . 1),x)) . h)) + (((bD (f,x)) . h) * (((backward_difference (z,x)) . 1) . (h - x)))) + (((((backward_difference (f,x)) . 1) . h) - (((backward_difference (f,x)) . 1) . (h - x))) * (z . (h - (2 * x))))),K38(((((backward_difference (f,x)) . 1) . h) * ((z . (h - (2 * x))) - (z . (h - x)))))) is V11() V12() ext-real set
bD (((backward_difference (f,x)) . 1),x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (((backward_difference (f,x)) . 1),K38(x)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference (f,x)) . 1) - (Shift (((backward_difference (f,x)) . 1),K38(x))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(bD (((backward_difference (f,x)) . 1),x)) . h is V11() V12() ext-real Element of REAL
((bD (((backward_difference (f,x)) . 1),x)) . h) * (z . (h - (2 * x))) is V11() V12() ext-real Element of REAL
(((f . h) * ((bD (((backward_difference (z,x)) . 1),x)) . h)) + (((bD (f,x)) . h) * (((backward_difference (z,x)) . 1) . (h - x)))) + (((bD (((backward_difference (f,x)) . 1),x)) . h) * (z . (h - (2 * x)))) is V11() V12() ext-real Element of REAL
(z . (h - x)) - (z . ((h - x) - x)) is V11() V12() ext-real Element of REAL
K38((z . ((h - x) - x))) is V11() V12() ext-real set
K36((z . (h - x)),K38((z . ((h - x) - x)))) is V11() V12() ext-real set
(((backward_difference (f,x)) . 1) . h) * ((z . (h - x)) - (z . ((h - x) - x))) is V11() V12() ext-real Element of REAL
((((f . h) * ((bD (((backward_difference (z,x)) . 1),x)) . h)) + (((bD (f,x)) . h) * (((backward_difference (z,x)) . 1) . (h - x)))) + (((bD (((backward_difference (f,x)) . 1),x)) . h) * (z . (h - (2 * x))))) + ((((backward_difference (f,x)) . 1) . h) * ((z . (h - x)) - (z . ((h - x) - x)))) is V11() V12() ext-real Element of REAL
bD (z,x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (z,K38(x)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
z - (Shift (z,K38(x))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(bD (z,x)) . (h - x) is V11() V12() ext-real Element of REAL
(((backward_difference (f,x)) . 1) . h) * ((bD (z,x)) . (h - x)) is V11() V12() ext-real Element of REAL
((((f . h) * ((bD (((backward_difference (z,x)) . 1),x)) . h)) + (((bD (f,x)) . h) * (((backward_difference (z,x)) . 1) . (h - x)))) + (((bD (((backward_difference (f,x)) . 1),x)) . h) * (z . (h - (2 * x))))) + ((((backward_difference (f,x)) . 1) . h) * ((bD (z,x)) . (h - x))) is V11() V12() ext-real Element of REAL
(backward_difference (z,x)) . (1 + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference (z,x)) . (1 + 1)) . h is V11() V12() ext-real Element of REAL
(f . h) * (((backward_difference (z,x)) . (1 + 1)) . h) is V11() V12() ext-real Element of REAL
((f . h) * (((backward_difference (z,x)) . (1 + 1)) . h)) + (((bD (f,x)) . h) * (((backward_difference (z,x)) . 1) . (h - x))) is V11() V12() ext-real Element of REAL
(((f . h) * (((backward_difference (z,x)) . (1 + 1)) . h)) + (((bD (f,x)) . h) * (((backward_difference (z,x)) . 1) . (h - x)))) + (((bD (((backward_difference (f,x)) . 1),x)) . h) * (z . (h - (2 * x)))) is V11() V12() ext-real Element of REAL
((((f . h) * (((backward_difference (z,x)) . (1 + 1)) . h)) + (((bD (f,x)) . h) * (((backward_difference (z,x)) . 1) . (h - x)))) + (((bD (((backward_difference (f,x)) . 1),x)) . h) * (z . (h - (2 * x))))) + ((((backward_difference (f,x)) . 1) . h) * ((bD (z,x)) . (h - x))) is V11() V12() ext-real Element of REAL
bD (((backward_difference (f,x)) . 0),x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (((backward_difference (f,x)) . 0),K38(x)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference (f,x)) . 0) - (Shift (((backward_difference (f,x)) . 0),K38(x))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(bD (((backward_difference (f,x)) . 0),x)) . h is V11() V12() ext-real Element of REAL
((bD (((backward_difference (f,x)) . 0),x)) . h) * (((backward_difference (z,x)) . 1) . (h - x)) is V11() V12() ext-real Element of REAL
((f . h) * (((backward_difference (z,x)) . (1 + 1)) . h)) + (((bD (((backward_difference (f,x)) . 0),x)) . h) * (((backward_difference (z,x)) . 1) . (h - x))) is V11() V12() ext-real Element of REAL
(((f . h) * (((backward_difference (z,x)) . (1 + 1)) . h)) + (((bD (((backward_difference (f,x)) . 0),x)) . h) * (((backward_difference (z,x)) . 1) . (h - x)))) + (((bD (((backward_difference (f,x)) . 1),x)) . h) * (z . (h - (2 * x)))) is V11() V12() ext-real Element of REAL
((((f . h) * (((backward_difference (z,x)) . (1 + 1)) . h)) + (((bD (((backward_difference (f,x)) . 0),x)) . h) * (((backward_difference (z,x)) . 1) . (h - x)))) + (((bD (((backward_difference (f,x)) . 1),x)) . h) * (z . (h - (2 * x))))) + ((((backward_difference (f,x)) . 1) . h) * ((bD (z,x)) . (h - x))) is V11() V12() ext-real Element of REAL
(backward_difference (z,x)) . 2 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference (z,x)) . 2) . h is V11() V12() ext-real Element of REAL
(f . h) * (((backward_difference (z,x)) . 2) . h) is V11() V12() ext-real Element of REAL
((f . h) * (((backward_difference (z,x)) . 2) . h)) + (((bD (((backward_difference (f,x)) . 0),x)) . h) * (((backward_difference (z,x)) . 1) . (h - x))) is V11() V12() ext-real Element of REAL
(backward_difference (f,x)) . 2 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference (f,x)) . 2) . h is V11() V12() ext-real Element of REAL
(((backward_difference (f,x)) . 2) . h) * (z . (h - (2 * x))) is V11() V12() ext-real Element of REAL
(((f . h) * (((backward_difference (z,x)) . 2) . h)) + (((bD (((backward_difference (f,x)) . 0),x)) . h) * (((backward_difference (z,x)) . 1) . (h - x)))) + ((((backward_difference (f,x)) . 2) . h) * (z . (h - (2 * x)))) is V11() V12() ext-real Element of REAL
((((f . h) * (((backward_difference (z,x)) . 2) . h)) + (((bD (((backward_difference (f,x)) . 0),x)) . h) * (((backward_difference (z,x)) . 1) . (h - x)))) + ((((backward_difference (f,x)) . 2) . h) * (z . (h - (2 * x))))) + ((((backward_difference (f,x)) . 1) . h) * ((bD (z,x)) . (h - x))) is V11() V12() ext-real Element of REAL
(backward_difference (f,x)) . (0 + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference (f,x)) . (0 + 1)) . h is V11() V12() ext-real Element of REAL
(((backward_difference (f,x)) . (0 + 1)) . h) * (((backward_difference (z,x)) . 1) . (h - x)) is V11() V12() ext-real Element of REAL
((f . h) * (((backward_difference (z,x)) . 2) . h)) + ((((backward_difference (f,x)) . (0 + 1)) . h) * (((backward_difference (z,x)) . 1) . (h - x))) is V11() V12() ext-real Element of REAL
(((f . h) * (((backward_difference (z,x)) . 2) . h)) + ((((backward_difference (f,x)) . (0 + 1)) . h) * (((backward_difference (z,x)) . 1) . (h - x)))) + ((((backward_difference (f,x)) . 2) . h) * (z . (h - (2 * x)))) is V11() V12() ext-real Element of REAL
((((f . h) * (((backward_difference (z,x)) . 2) . h)) + ((((backward_difference (f,x)) . (0 + 1)) . h) * (((backward_difference (z,x)) . 1) . (h - x)))) + ((((backward_difference (f,x)) . 2) . h) * (z . (h - (2 * x))))) + ((((backward_difference (f,x)) . 1) . h) * ((bD (z,x)) . (h - x))) is V11() V12() ext-real Element of REAL
(((backward_difference (f,x)) . 1) . h) * (((backward_difference (z,x)) . 1) . (h - x)) is V11() V12() ext-real Element of REAL
((f . h) * (((backward_difference (z,x)) . 2) . h)) + ((((backward_difference (f,x)) . 1) . h) * (((backward_difference (z,x)) . 1) . (h - x))) is V11() V12() ext-real Element of REAL
(((f . h) * (((backward_difference (z,x)) . 2) . h)) + ((((backward_difference (f,x)) . 1) . h) * (((backward_difference (z,x)) . 1) . (h - x)))) + ((((backward_difference (f,x)) . 2) . h) * (z . (h - (2 * x)))) is V11() V12() ext-real Element of REAL
(backward_difference (z,x)) . 0 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
bD (((backward_difference (z,x)) . 0),x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (((backward_difference (z,x)) . 0),K38(x)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference (z,x)) . 0) - (Shift (((backward_difference (z,x)) . 0),K38(x))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(bD (((backward_difference (z,x)) . 0),x)) . (h - x) is V11() V12() ext-real Element of REAL
(((backward_difference (f,x)) . 1) . h) * ((bD (((backward_difference (z,x)) . 0),x)) . (h - x)) is V11() V12() ext-real Element of REAL
((((f . h) * (((backward_difference (z,x)) . 2) . h)) + ((((backward_difference (f,x)) . 1) . h) * (((backward_difference (z,x)) . 1) . (h - x)))) + ((((backward_difference (f,x)) . 2) . h) * (z . (h - (2 * x))))) + ((((backward_difference (f,x)) . 1) . h) * ((bD (((backward_difference (z,x)) . 0),x)) . (h - x))) is V11() V12() ext-real Element of REAL
(backward_difference (z,x)) . (0 + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference (z,x)) . (0 + 1)) . (h - x) is V11() V12() ext-real Element of REAL
(((backward_difference (f,x)) . 1) . h) * (((backward_difference (z,x)) . (0 + 1)) . (h - x)) is V11() V12() ext-real Element of REAL
((((f . h) * (((backward_difference (z,x)) . 2) . h)) + ((((backward_difference (f,x)) . 1) . h) * (((backward_difference (z,x)) . 1) . (h - x)))) + ((((backward_difference (f,x)) . 2) . h) * (z . (h - (2 * x))))) + ((((backward_difference (f,x)) . 1) . h) * (((backward_difference (z,x)) . (0 + 1)) . (h - x))) is V11() V12() ext-real Element of REAL
2 * ((((backward_difference (f,x)) . 1) . h) * (((backward_difference (z,x)) . 1) . (h - x))) is V11() V12() ext-real Element of REAL
((f . h) * (((backward_difference (z,x)) . 2) . h)) + (2 * ((((backward_difference (f,x)) . 1) . h) * (((backward_difference (z,x)) . 1) . (h - x)))) is V11() V12() ext-real Element of REAL
(((f . h) * (((backward_difference (z,x)) . 2) . h)) + (2 * ((((backward_difference (f,x)) . 1) . h) * (((backward_difference (z,x)) . 1) . (h - x))))) + ((((backward_difference (f,x)) . 2) . h) * (z . (h - (2 * x)))) is V11() V12() ext-real Element of REAL
2 -' 0 is V10() V11() V12() ext-real non negative V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
2 - 0 is V11() V12() ext-real Element of REAL
K36(2,K38(0)) is V11() V12() ext-real set
(f . 2) . 0 is V11() V12() ext-real Element of REAL
2 choose 0 is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
(2 choose 0) * (((backward_difference (f,x)) . 0) . h) is V11() V12() ext-real Element of REAL
(backward_difference (z,x)) . (2 -' 0) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference (z,x)) . (2 -' 0)) . (h - (0 * x)) is V11() V12() ext-real Element of REAL
((2 choose 0) * (((backward_difference (f,x)) . 0) . h)) * (((backward_difference (z,x)) . (2 -' 0)) . (h - (0 * x))) is V11() V12() ext-real Element of REAL
(1 * (((backward_difference (f,x)) . 0) . h)) * (((backward_difference (z,x)) . (2 -' 0)) . (h - (0 * x))) is V11() V12() ext-real Element of REAL
2 -' 1 is V10() V11() V12() ext-real non negative V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
2 - 1 is V11() V12() ext-real Element of REAL
K36(2,K38(1)) is V11() V12() ext-real set
(f . 2) . 1 is V11() V12() ext-real Element of REAL
2 choose 1 is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
(2 choose 1) * (((backward_difference (f,x)) . 1) . h) is V11() V12() ext-real Element of REAL
(backward_difference (z,x)) . (2 -' 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference (z,x)) . (2 -' 1)) . (h - (1 * x)) is V11() V12() ext-real Element of REAL
((2 choose 1) * (((backward_difference (f,x)) . 1) . h)) * (((backward_difference (z,x)) . (2 -' 1)) . (h - (1 * x))) is V11() V12() ext-real Element of REAL
2 * (((backward_difference (f,x)) . 1) . h) is V11() V12() ext-real Element of REAL
(2 * (((backward_difference (f,x)) . 1) . h)) * (((backward_difference (z,x)) . 1) . (h - x)) is V11() V12() ext-real Element of REAL
2 -' 2 is V10() V11() V12() ext-real non negative V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
2 - 2 is V11() V12() ext-real Element of REAL
K38(2) is V1() V11() V12() ext-real set
K36(2,K38(2)) is V11() V12() ext-real set
(f . 2) . 2 is V11() V12() ext-real Element of REAL
2 choose 2 is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
(2 choose 2) * (((backward_difference (f,x)) . 2) . h) is V11() V12() ext-real Element of REAL
(backward_difference (z,x)) . (2 -' 2) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((backward_difference (z,x)) . (2 -' 2)) . (h - (2 * x)) is V11() V12() ext-real Element of REAL
((2 choose 2) * (((backward_difference (f,x)) . 2) . h)) * (((backward_difference (z,x)) . (2 -' 2)) . (h - (2 * x))) is V11() V12() ext-real Element of REAL
1 * (((backward_difference (f,x)) . 2) . h) is V11() V12() ext-real Element of REAL
(1 * (((backward_difference (f,x)) . 2) . h)) * (((backward_difference (z,x)) . (2 -' 2)) . (h - (2 * x))) is V11() V12() ext-real Element of REAL
Partial_Sums (f . 2) is V13() V16( NAT ) V17( REAL ) V18() V23( NAT ) V27( NAT , REAL ) V33() V34() V35() Element of bool [:NAT,REAL:]
(Partial_Sums (f . 2)) . (1 + 1) is V11() V12() ext-real Element of REAL
(Partial_Sums (f . 2)) . (0 + 1) is V11() V12() ext-real Element of REAL
((Partial_Sums (f . 2)) . (0 + 1)) + ((f . 2) . 2) is V11() V12() ext-real Element of REAL
(Partial_Sums (f . 2)) . 0 is V11() V12() ext-real Element of REAL
((Partial_Sums (f . 2)) . 0) + ((f . 2) . 1) is V11() V12() ext-real Element of REAL
(((Partial_Sums (f . 2)) . 0) + ((f . 2) . 1)) + ((f . 2) . 2) is V11() V12() ext-real Element of REAL
x is V11() V12() ext-real Element of REAL
x / 2 is V11() V12() ext-real Element of REAL
K37(x,K39(2)) is V11() V12() ext-real set
h is V11() V12() ext-real Element of REAL
h + (x / 2) is V11() V12() ext-real Element of REAL
h - (x / 2) is V11() V12() ext-real Element of REAL
K38((x / 2)) is V11() V12() ext-real set
K36(h,K38((x / 2))) is V11() V12() ext-real set
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
f . (h + (x / 2)) is V11() V12() ext-real Element of REAL
central_difference (f,x) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(central_difference (f,x)) . 1 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((central_difference (f,x)) . 1) . h is V11() V12() ext-real Element of REAL
z is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
f (#) z is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
central_difference ((f (#) z),x) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(central_difference ((f (#) z),x)) . 1 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((central_difference ((f (#) z),x)) . 1) . h is V11() V12() ext-real Element of REAL
central_difference (z,x) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(central_difference (z,x)) . 1 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((central_difference (z,x)) . 1) . h is V11() V12() ext-real Element of REAL
(f . (h + (x / 2))) * (((central_difference (z,x)) . 1) . h) is V11() V12() ext-real Element of REAL
z . (h - (x / 2)) is V11() V12() ext-real Element of REAL
(z . (h - (x / 2))) * (((central_difference (f,x)) . 1) . h) is V11() V12() ext-real Element of REAL
((f . (h + (x / 2))) * (((central_difference (z,x)) . 1) . h)) + ((z . (h - (x / 2))) * (((central_difference (f,x)) . 1) . h)) is V11() V12() ext-real Element of REAL
0 + 1 is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
(central_difference ((f (#) z),x)) . (0 + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((central_difference ((f (#) z),x)) . (0 + 1)) . h is V11() V12() ext-real Element of REAL
(central_difference ((f (#) z),x)) . 0 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
cD (((central_difference ((f (#) z),x)) . 0),x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
x / 2 is V11() V12() ext-real Element of REAL
Shift (((central_difference ((f (#) z),x)) . 0),(x / 2)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
- (x / 2) is V11() V12() ext-real Element of REAL
Shift (((central_difference ((f (#) z),x)) . 0),(- (x / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (((central_difference ((f (#) z),x)) . 0),(x / 2))) - (Shift (((central_difference ((f (#) z),x)) . 0),(- (x / 2)))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(cD (((central_difference ((f (#) z),x)) . 0),x)) . h is V11() V12() ext-real Element of REAL
cD ((f (#) z),x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift ((f (#) z),(x / 2)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift ((f (#) z),(- (x / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift ((f (#) z),(x / 2))) - (Shift ((f (#) z),(- (x / 2)))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(cD ((f (#) z),x)) . h is V11() V12() ext-real Element of REAL
(f (#) z) . (h + (x / 2)) is V11() V12() ext-real Element of REAL
(f (#) z) . (h - (x / 2)) is V11() V12() ext-real Element of REAL
((f (#) z) . (h + (x / 2))) - ((f (#) z) . (h - (x / 2))) is V11() V12() ext-real Element of REAL
K38(((f (#) z) . (h - (x / 2)))) is V11() V12() ext-real set
K36(((f (#) z) . (h + (x / 2))),K38(((f (#) z) . (h - (x / 2))))) is V11() V12() ext-real set
z . (h + (x / 2)) is V11() V12() ext-real Element of REAL
(f . (h + (x / 2))) * (z . (h + (x / 2))) is V11() V12() ext-real Element of REAL
((f . (h + (x / 2))) * (z . (h + (x / 2)))) - ((f (#) z) . (h - (x / 2))) is V11() V12() ext-real Element of REAL
K36(((f . (h + (x / 2))) * (z . (h + (x / 2)))),K38(((f (#) z) . (h - (x / 2))))) is V11() V12() ext-real set
f . (h - (x / 2)) is V11() V12() ext-real Element of REAL
(f . (h - (x / 2))) * (z . (h - (x / 2))) is V11() V12() ext-real Element of REAL
((f . (h + (x / 2))) * (z . (h + (x / 2)))) - ((f . (h - (x / 2))) * (z . (h - (x / 2)))) is V11() V12() ext-real Element of REAL
K38(((f . (h - (x / 2))) * (z . (h - (x / 2))))) is V11() V12() ext-real set
K36(((f . (h + (x / 2))) * (z . (h + (x / 2)))),K38(((f . (h - (x / 2))) * (z . (h - (x / 2)))))) is V11() V12() ext-real set
(z . (h + (x / 2))) - (z . (h - (x / 2))) is V11() V12() ext-real Element of REAL
K38((z . (h - (x / 2)))) is V11() V12() ext-real set
K36((z . (h + (x / 2))),K38((z . (h - (x / 2))))) is V11() V12() ext-real set
(f . (h + (x / 2))) * ((z . (h + (x / 2))) - (z . (h - (x / 2)))) is V11() V12() ext-real Element of REAL
(f . (h + (x / 2))) - (f . (h - (x / 2))) is V11() V12() ext-real Element of REAL
K38((f . (h - (x / 2)))) is V11() V12() ext-real set
K36((f . (h + (x / 2))),K38((f . (h - (x / 2))))) is V11() V12() ext-real set
(z . (h - (x / 2))) * ((f . (h + (x / 2))) - (f . (h - (x / 2)))) is V11() V12() ext-real Element of REAL
((f . (h + (x / 2))) * ((z . (h + (x / 2))) - (z . (h - (x / 2))))) + ((z . (h - (x / 2))) * ((f . (h + (x / 2))) - (f . (h - (x / 2))))) is V11() V12() ext-real Element of REAL
cD (z,x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (z,(x / 2)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (z,(- (x / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (z,(x / 2))) - (Shift (z,(- (x / 2)))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(cD (z,x)) . h is V11() V12() ext-real Element of REAL
(f . (h + (x / 2))) * ((cD (z,x)) . h) is V11() V12() ext-real Element of REAL
((f . (h + (x / 2))) * ((cD (z,x)) . h)) + ((z . (h - (x / 2))) * ((f . (h + (x / 2))) - (f . (h - (x / 2))))) is V11() V12() ext-real Element of REAL
cD (f,x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (f,(x / 2)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (f,(- (x / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (f,(x / 2))) - (Shift (f,(- (x / 2)))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(cD (f,x)) . h is V11() V12() ext-real Element of REAL
(z . (h - (x / 2))) * ((cD (f,x)) . h) is V11() V12() ext-real Element of REAL
((f . (h + (x / 2))) * ((cD (z,x)) . h)) + ((z . (h - (x / 2))) * ((cD (f,x)) . h)) is V11() V12() ext-real Element of REAL
(central_difference (z,x)) . 0 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
cD (((central_difference (z,x)) . 0),x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (((central_difference (z,x)) . 0),(x / 2)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (((central_difference (z,x)) . 0),(- (x / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (((central_difference (z,x)) . 0),(x / 2))) - (Shift (((central_difference (z,x)) . 0),(- (x / 2)))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(cD (((central_difference (z,x)) . 0),x)) . h is V11() V12() ext-real Element of REAL
(f . (h + (x / 2))) * ((cD (((central_difference (z,x)) . 0),x)) . h) is V11() V12() ext-real Element of REAL
((f . (h + (x / 2))) * ((cD (((central_difference (z,x)) . 0),x)) . h)) + ((z . (h - (x / 2))) * ((cD (f,x)) . h)) is V11() V12() ext-real Element of REAL
(central_difference (f,x)) . 0 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
cD (((central_difference (f,x)) . 0),x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (((central_difference (f,x)) . 0),(x / 2)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (((central_difference (f,x)) . 0),(- (x / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (((central_difference (f,x)) . 0),(x / 2))) - (Shift (((central_difference (f,x)) . 0),(- (x / 2)))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(cD (((central_difference (f,x)) . 0),x)) . h is V11() V12() ext-real Element of REAL
(z . (h - (x / 2))) * ((cD (((central_difference (f,x)) . 0),x)) . h) is V11() V12() ext-real Element of REAL
((f . (h + (x / 2))) * ((cD (((central_difference (z,x)) . 0),x)) . h)) + ((z . (h - (x / 2))) * ((cD (((central_difference (f,x)) . 0),x)) . h)) is V11() V12() ext-real Element of REAL
(central_difference (z,x)) . (0 + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((central_difference (z,x)) . (0 + 1)) . h is V11() V12() ext-real Element of REAL
(f . (h + (x / 2))) * (((central_difference (z,x)) . (0 + 1)) . h) is V11() V12() ext-real Element of REAL
((f . (h + (x / 2))) * (((central_difference (z,x)) . (0 + 1)) . h)) + ((z . (h - (x / 2))) * ((cD (((central_difference (f,x)) . 0),x)) . h)) is V11() V12() ext-real Element of REAL
x is V11() V12() ext-real Element of REAL
x / 2 is V11() V12() ext-real Element of REAL
K37(x,K39(2)) is V11() V12() ext-real set
h is V11() V12() ext-real Element of REAL
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
central_difference (f,x) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
z is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
central_difference (z,x) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
f (#) z is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
central_difference ((f (#) z),x) is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Element of bool [:NAT,K69(REAL,REAL):]
(central_difference ((f (#) z),x)) . 1 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((central_difference ((f (#) z),x)) . 1) . h is V11() V12() ext-real Element of REAL
(central_difference ((f (#) z),x)) . 2 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((central_difference ((f (#) z),x)) . 2) . h is V11() V12() ext-real Element of REAL
f is V13() V16( NAT ) V17(K69(REAL,REAL)) V18() V27( NAT ,K69(REAL,REAL)) Sequence-yielding Element of bool [:NAT,K69(REAL,REAL):]
f . 1 is V13() V16( NAT ) V17( REAL ) V18() V23( NAT ) V27( NAT , REAL ) V33() V34() V35() Element of bool [:NAT,REAL:]
Sum ((f . 1),1) is V11() V12() ext-real Element of REAL
f . 2 is V13() V16( NAT ) V17( REAL ) V18() V23( NAT ) V27( NAT , REAL ) V33() V34() V35() Element of bool [:NAT,REAL:]
Sum ((f . 2),2) is V11() V12() ext-real Element of REAL
1 -' 0 is V10() V11() V12() ext-real non negative V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
1 - 0 is V11() V12() ext-real Element of REAL
K38(0) is V11() V12() ext-real set
K36(1,K38(0)) is V11() V12() ext-real set
(f . 1) . 0 is V11() V12() ext-real Element of REAL
1 choose 0 is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
(central_difference (f,x)) . 0 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(1 -' 0) * (x / 2) is V11() V12() ext-real Element of REAL
h + ((1 -' 0) * (x / 2)) is V11() V12() ext-real Element of REAL
((central_difference (f,x)) . 0) . (h + ((1 -' 0) * (x / 2))) is V11() V12() ext-real Element of REAL
(1 choose 0) * (((central_difference (f,x)) . 0) . (h + ((1 -' 0) * (x / 2)))) is V11() V12() ext-real Element of REAL
(central_difference (z,x)) . (1 -' 0) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
0 * (x / 2) is V11() V12() ext-real Element of REAL
h - (0 * (x / 2)) is V11() V12() ext-real Element of REAL
K38((0 * (x / 2))) is V11() V12() ext-real set
K36(h,K38((0 * (x / 2)))) is V11() V12() ext-real set
((central_difference (z,x)) . (1 -' 0)) . (h - (0 * (x / 2))) is V11() V12() ext-real Element of REAL
((1 choose 0) * (((central_difference (f,x)) . 0) . (h + ((1 -' 0) * (x / 2))))) * (((central_difference (z,x)) . (1 -' 0)) . (h - (0 * (x / 2)))) is V11() V12() ext-real Element of REAL
1 * (((central_difference (f,x)) . 0) . (h + ((1 -' 0) * (x / 2)))) is V11() V12() ext-real Element of REAL
(1 * (((central_difference (f,x)) . 0) . (h + ((1 -' 0) * (x / 2))))) * (((central_difference (z,x)) . (1 -' 0)) . (h - (0 * (x / 2)))) is V11() V12() ext-real Element of REAL
h + (x / 2) is V11() V12() ext-real Element of REAL
f . (h + (x / 2)) is V11() V12() ext-real Element of REAL
(central_difference (z,x)) . 1 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((central_difference (z,x)) . 1) . h is V11() V12() ext-real Element of REAL
(f . (h + (x / 2))) * (((central_difference (z,x)) . 1) . h) is V11() V12() ext-real Element of REAL
1 -' 1 is V10() V11() V12() ext-real non negative V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
1 - 1 is V11() V12() ext-real Element of REAL
K38(1) is V1() V11() V12() ext-real set
K36(1,K38(1)) is V11() V12() ext-real set
(f . 1) . 1 is V11() V12() ext-real Element of REAL
1 choose 1 is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
(central_difference (f,x)) . 1 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(1 -' 1) * (x / 2) is V11() V12() ext-real Element of REAL
h + ((1 -' 1) * (x / 2)) is V11() V12() ext-real Element of REAL
((central_difference (f,x)) . 1) . (h + ((1 -' 1) * (x / 2))) is V11() V12() ext-real Element of REAL
(1 choose 1) * (((central_difference (f,x)) . 1) . (h + ((1 -' 1) * (x / 2)))) is V11() V12() ext-real Element of REAL
(central_difference (z,x)) . (1 -' 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
1 * (x / 2) is V11() V12() ext-real Element of REAL
h - (1 * (x / 2)) is V11() V12() ext-real Element of REAL
K38((1 * (x / 2))) is V11() V12() ext-real set
K36(h,K38((1 * (x / 2)))) is V11() V12() ext-real set
((central_difference (z,x)) . (1 -' 1)) . (h - (1 * (x / 2))) is V11() V12() ext-real Element of REAL
((1 choose 1) * (((central_difference (f,x)) . 1) . (h + ((1 -' 1) * (x / 2))))) * (((central_difference (z,x)) . (1 -' 1)) . (h - (1 * (x / 2)))) is V11() V12() ext-real Element of REAL
1 * (((central_difference (f,x)) . 1) . (h + ((1 -' 1) * (x / 2)))) is V11() V12() ext-real Element of REAL
(1 * (((central_difference (f,x)) . 1) . (h + ((1 -' 1) * (x / 2))))) * (((central_difference (z,x)) . (1 -' 1)) . (h - (1 * (x / 2)))) is V11() V12() ext-real Element of REAL
h - (x / 2) is V11() V12() ext-real Element of REAL
K38((x / 2)) is V11() V12() ext-real set
K36(h,K38((x / 2))) is V11() V12() ext-real set
z . (h - (x / 2)) is V11() V12() ext-real Element of REAL
((central_difference (f,x)) . 1) . h is V11() V12() ext-real Element of REAL
(z . (h - (x / 2))) * (((central_difference (f,x)) . 1) . h) is V11() V12() ext-real Element of REAL
Partial_Sums (f . 1) is V13() V16( NAT ) V17( REAL ) V18() V23( NAT ) V27( NAT , REAL ) V33() V34() V35() Element of bool [:NAT,REAL:]
0 + 1 is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
(Partial_Sums (f . 1)) . (0 + 1) is V11() V12() ext-real Element of REAL
(Partial_Sums (f . 1)) . 0 is V11() V12() ext-real Element of REAL
((Partial_Sums (f . 1)) . 0) + ((f . 1) . 1) is V11() V12() ext-real Element of REAL
((f . 1) . 0) + ((f . 1) . 1) is V11() V12() ext-real Element of REAL
1 + 1 is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
(central_difference ((f (#) z),x)) . (1 + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((central_difference ((f (#) z),x)) . (1 + 1)) . h is V11() V12() ext-real Element of REAL
cD (((central_difference ((f (#) z),x)) . 1),x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
x / 2 is V11() V12() ext-real Element of REAL
Shift (((central_difference ((f (#) z),x)) . 1),(x / 2)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
- (x / 2) is V11() V12() ext-real Element of REAL
Shift (((central_difference ((f (#) z),x)) . 1),(- (x / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (((central_difference ((f (#) z),x)) . 1),(x / 2))) - (Shift (((central_difference ((f (#) z),x)) . 1),(- (x / 2)))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(cD (((central_difference ((f (#) z),x)) . 1),x)) . h is V11() V12() ext-real Element of REAL
((central_difference ((f (#) z),x)) . 1) . (h + (x / 2)) is V11() V12() ext-real Element of REAL
((central_difference ((f (#) z),x)) . 1) . (h - (x / 2)) is V11() V12() ext-real Element of REAL
(((central_difference ((f (#) z),x)) . 1) . (h + (x / 2))) - (((central_difference ((f (#) z),x)) . 1) . (h - (x / 2))) is V11() V12() ext-real Element of REAL
K38((((central_difference ((f (#) z),x)) . 1) . (h - (x / 2)))) is V11() V12() ext-real set
K36((((central_difference ((f (#) z),x)) . 1) . (h + (x / 2))),K38((((central_difference ((f (#) z),x)) . 1) . (h - (x / 2))))) is V11() V12() ext-real set
(h + (x / 2)) + (x / 2) is V11() V12() ext-real Element of REAL
f . ((h + (x / 2)) + (x / 2)) is V11() V12() ext-real Element of REAL
((central_difference (z,x)) . 1) . (h + (x / 2)) is V11() V12() ext-real Element of REAL
(f . ((h + (x / 2)) + (x / 2))) * (((central_difference (z,x)) . 1) . (h + (x / 2))) is V11() V12() ext-real Element of REAL
((central_difference (f,x)) . 1) . (h + (x / 2)) is V11() V12() ext-real Element of REAL
(h + (x / 2)) - (x / 2) is V11() V12() ext-real Element of REAL
K36((h + (x / 2)),K38((x / 2))) is V11() V12() ext-real set
z . ((h + (x / 2)) - (x / 2)) is V11() V12() ext-real Element of REAL
(((central_difference (f,x)) . 1) . (h + (x / 2))) * (z . ((h + (x / 2)) - (x / 2))) is V11() V12() ext-real Element of REAL
((f . ((h + (x / 2)) + (x / 2))) * (((central_difference (z,x)) . 1) . (h + (x / 2)))) + ((((central_difference (f,x)) . 1) . (h + (x / 2))) * (z . ((h + (x / 2)) - (x / 2)))) is V11() V12() ext-real Element of REAL
(((f . ((h + (x / 2)) + (x / 2))) * (((central_difference (z,x)) . 1) . (h + (x / 2)))) + ((((central_difference (f,x)) . 1) . (h + (x / 2))) * (z . ((h + (x / 2)) - (x / 2))))) - (((central_difference ((f (#) z),x)) . 1) . (h - (x / 2))) is V11() V12() ext-real Element of REAL
K36((((f . ((h + (x / 2)) + (x / 2))) * (((central_difference (z,x)) . 1) . (h + (x / 2)))) + ((((central_difference (f,x)) . 1) . (h + (x / 2))) * (z . ((h + (x / 2)) - (x / 2))))),K38((((central_difference ((f (#) z),x)) . 1) . (h - (x / 2))))) is V11() V12() ext-real set
h + x is V11() V12() ext-real Element of REAL
f . (h + x) is V11() V12() ext-real Element of REAL
(f . (h + x)) * (((central_difference (z,x)) . 1) . (h + (x / 2))) is V11() V12() ext-real Element of REAL
z . h is V11() V12() ext-real Element of REAL
(((central_difference (f,x)) . 1) . (h + (x / 2))) * (z . h) is V11() V12() ext-real Element of REAL
((f . (h + x)) * (((central_difference (z,x)) . 1) . (h + (x / 2)))) + ((((central_difference (f,x)) . 1) . (h + (x / 2))) * (z . h)) is V11() V12() ext-real Element of REAL
(h - (x / 2)) + (x / 2) is V11() V12() ext-real Element of REAL
f . ((h - (x / 2)) + (x / 2)) is V11() V12() ext-real Element of REAL
((central_difference (z,x)) . 1) . (h - (x / 2)) is V11() V12() ext-real Element of REAL
(f . ((h - (x / 2)) + (x / 2))) * (((central_difference (z,x)) . 1) . (h - (x / 2))) is V11() V12() ext-real Element of REAL
((central_difference (f,x)) . 1) . (h - (x / 2)) is V11() V12() ext-real Element of REAL
(h - (x / 2)) - (x / 2) is V11() V12() ext-real Element of REAL
K36((h - (x / 2)),K38((x / 2))) is V11() V12() ext-real set
z . ((h - (x / 2)) - (x / 2)) is V11() V12() ext-real Element of REAL
(((central_difference (f,x)) . 1) . (h - (x / 2))) * (z . ((h - (x / 2)) - (x / 2))) is V11() V12() ext-real Element of REAL
((f . ((h - (x / 2)) + (x / 2))) * (((central_difference (z,x)) . 1) . (h - (x / 2)))) + ((((central_difference (f,x)) . 1) . (h - (x / 2))) * (z . ((h - (x / 2)) - (x / 2)))) is V11() V12() ext-real Element of REAL
(((f . (h + x)) * (((central_difference (z,x)) . 1) . (h + (x / 2)))) + ((((central_difference (f,x)) . 1) . (h + (x / 2))) * (z . h))) - (((f . ((h - (x / 2)) + (x / 2))) * (((central_difference (z,x)) . 1) . (h - (x / 2)))) + ((((central_difference (f,x)) . 1) . (h - (x / 2))) * (z . ((h - (x / 2)) - (x / 2))))) is V11() V12() ext-real Element of REAL
K38((((f . ((h - (x / 2)) + (x / 2))) * (((central_difference (z,x)) . 1) . (h - (x / 2)))) + ((((central_difference (f,x)) . 1) . (h - (x / 2))) * (z . ((h - (x / 2)) - (x / 2)))))) is V11() V12() ext-real set
K36((((f . (h + x)) * (((central_difference (z,x)) . 1) . (h + (x / 2)))) + ((((central_difference (f,x)) . 1) . (h + (x / 2))) * (z . h))),K38((((f . ((h - (x / 2)) + (x / 2))) * (((central_difference (z,x)) . 1) . (h - (x / 2)))) + ((((central_difference (f,x)) . 1) . (h - (x / 2))) * (z . ((h - (x / 2)) - (x / 2))))))) is V11() V12() ext-real set
(((central_difference (z,x)) . 1) . (h + (x / 2))) - (((central_difference (z,x)) . 1) . (h - (x / 2))) is V11() V12() ext-real Element of REAL
K38((((central_difference (z,x)) . 1) . (h - (x / 2)))) is V11() V12() ext-real set
K36((((central_difference (z,x)) . 1) . (h + (x / 2))),K38((((central_difference (z,x)) . 1) . (h - (x / 2))))) is V11() V12() ext-real set
(f . (h + x)) * ((((central_difference (z,x)) . 1) . (h + (x / 2))) - (((central_difference (z,x)) . 1) . (h - (x / 2)))) is V11() V12() ext-real Element of REAL
f . h is V11() V12() ext-real Element of REAL
(f . (h + x)) - (f . h) is V11() V12() ext-real Element of REAL
K38((f . h)) is V11() V12() ext-real set
K36((f . (h + x)),K38((f . h))) is V11() V12() ext-real set
((f . (h + x)) - (f . h)) * (((central_difference (z,x)) . 1) . (h - (x / 2))) is V11() V12() ext-real Element of REAL
((f . (h + x)) * ((((central_difference (z,x)) . 1) . (h + (x / 2))) - (((central_difference (z,x)) . 1) . (h - (x / 2))))) + (((f . (h + x)) - (f . h)) * (((central_difference (z,x)) . 1) . (h - (x / 2)))) is V11() V12() ext-real Element of REAL
(((central_difference (f,x)) . 1) . (h - (x / 2))) - (((central_difference (f,x)) . 1) . (h + (x / 2))) is V11() V12() ext-real Element of REAL
K38((((central_difference (f,x)) . 1) . (h + (x / 2)))) is V11() V12() ext-real set
K36((((central_difference (f,x)) . 1) . (h - (x / 2))),K38((((central_difference (f,x)) . 1) . (h + (x / 2))))) is V11() V12() ext-real set
h - x is V11() V12() ext-real Element of REAL
K38(x) is V11() V12() ext-real set
K36(h,K38(x)) is V11() V12() ext-real set
z . (h - x) is V11() V12() ext-real Element of REAL
((((central_difference (f,x)) . 1) . (h - (x / 2))) - (((central_difference (f,x)) . 1) . (h + (x / 2)))) * (z . (h - x)) is V11() V12() ext-real Element of REAL
(((f . (h + x)) * ((((central_difference (z,x)) . 1) . (h + (x / 2))) - (((central_difference (z,x)) . 1) . (h - (x / 2))))) + (((f . (h + x)) - (f . h)) * (((central_difference (z,x)) . 1) . (h - (x / 2))))) - (((((central_difference (f,x)) . 1) . (h - (x / 2))) - (((central_difference (f,x)) . 1) . (h + (x / 2)))) * (z . (h - x))) is V11() V12() ext-real Element of REAL
K38((((((central_difference (f,x)) . 1) . (h - (x / 2))) - (((central_difference (f,x)) . 1) . (h + (x / 2)))) * (z . (h - x)))) is V11() V12() ext-real set
K36((((f . (h + x)) * ((((central_difference (z,x)) . 1) . (h + (x / 2))) - (((central_difference (z,x)) . 1) . (h - (x / 2))))) + (((f . (h + x)) - (f . h)) * (((central_difference (z,x)) . 1) . (h - (x / 2))))),K38((((((central_difference (f,x)) . 1) . (h - (x / 2))) - (((central_difference (f,x)) . 1) . (h + (x / 2)))) * (z . (h - x))))) is V11() V12() ext-real set
(z . (h - x)) - (z . h) is V11() V12() ext-real Element of REAL
K38((z . h)) is V11() V12() ext-real set
K36((z . (h - x)),K38((z . h))) is V11() V12() ext-real set
(((central_difference (f,x)) . 1) . (h + (x / 2))) * ((z . (h - x)) - (z . h)) is V11() V12() ext-real Element of REAL
((((f . (h + x)) * ((((central_difference (z,x)) . 1) . (h + (x / 2))) - (((central_difference (z,x)) . 1) . (h - (x / 2))))) + (((f . (h + x)) - (f . h)) * (((central_difference (z,x)) . 1) . (h - (x / 2))))) - (((((central_difference (f,x)) . 1) . (h - (x / 2))) - (((central_difference (f,x)) . 1) . (h + (x / 2)))) * (z . (h - x)))) - ((((central_difference (f,x)) . 1) . (h + (x / 2))) * ((z . (h - x)) - (z . h))) is V11() V12() ext-real Element of REAL
K38(((((central_difference (f,x)) . 1) . (h + (x / 2))) * ((z . (h - x)) - (z . h)))) is V11() V12() ext-real set
K36(((((f . (h + x)) * ((((central_difference (z,x)) . 1) . (h + (x / 2))) - (((central_difference (z,x)) . 1) . (h - (x / 2))))) + (((f . (h + x)) - (f . h)) * (((central_difference (z,x)) . 1) . (h - (x / 2))))) - (((((central_difference (f,x)) . 1) . (h - (x / 2))) - (((central_difference (f,x)) . 1) . (h + (x / 2)))) * (z . (h - x)))),K38(((((central_difference (f,x)) . 1) . (h + (x / 2))) * ((z . (h - x)) - (z . h))))) is V11() V12() ext-real set
cD (((central_difference (z,x)) . 1),x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (((central_difference (z,x)) . 1),(x / 2)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (((central_difference (z,x)) . 1),(- (x / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (((central_difference (z,x)) . 1),(x / 2))) - (Shift (((central_difference (z,x)) . 1),(- (x / 2)))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(cD (((central_difference (z,x)) . 1),x)) . h is V11() V12() ext-real Element of REAL
(f . (h + x)) * ((cD (((central_difference (z,x)) . 1),x)) . h) is V11() V12() ext-real Element of REAL
f . ((h + (x / 2)) - (x / 2)) is V11() V12() ext-real Element of REAL
(f . ((h + (x / 2)) + (x / 2))) - (f . ((h + (x / 2)) - (x / 2))) is V11() V12() ext-real Element of REAL
K38((f . ((h + (x / 2)) - (x / 2)))) is V11() V12() ext-real set
K36((f . ((h + (x / 2)) + (x / 2))),K38((f . ((h + (x / 2)) - (x / 2))))) is V11() V12() ext-real set
((f . ((h + (x / 2)) + (x / 2))) - (f . ((h + (x / 2)) - (x / 2)))) * (((central_difference (z,x)) . 1) . (h - (x / 2))) is V11() V12() ext-real Element of REAL
((f . (h + x)) * ((cD (((central_difference (z,x)) . 1),x)) . h)) + (((f . ((h + (x / 2)) + (x / 2))) - (f . ((h + (x / 2)) - (x / 2)))) * (((central_difference (z,x)) . 1) . (h - (x / 2)))) is V11() V12() ext-real Element of REAL
(((f . (h + x)) * ((cD (((central_difference (z,x)) . 1),x)) . h)) + (((f . ((h + (x / 2)) + (x / 2))) - (f . ((h + (x / 2)) - (x / 2)))) * (((central_difference (z,x)) . 1) . (h - (x / 2))))) - (((((central_difference (f,x)) . 1) . (h - (x / 2))) - (((central_difference (f,x)) . 1) . (h + (x / 2)))) * (z . (h - x))) is V11() V12() ext-real Element of REAL
K36((((f . (h + x)) * ((cD (((central_difference (z,x)) . 1),x)) . h)) + (((f . ((h + (x / 2)) + (x / 2))) - (f . ((h + (x / 2)) - (x / 2)))) * (((central_difference (z,x)) . 1) . (h - (x / 2))))),K38((((((central_difference (f,x)) . 1) . (h - (x / 2))) - (((central_difference (f,x)) . 1) . (h + (x / 2)))) * (z . (h - x))))) is V11() V12() ext-real set
((((f . (h + x)) * ((cD (((central_difference (z,x)) . 1),x)) . h)) + (((f . ((h + (x / 2)) + (x / 2))) - (f . ((h + (x / 2)) - (x / 2)))) * (((central_difference (z,x)) . 1) . (h - (x / 2))))) - (((((central_difference (f,x)) . 1) . (h - (x / 2))) - (((central_difference (f,x)) . 1) . (h + (x / 2)))) * (z . (h - x)))) - ((((central_difference (f,x)) . 1) . (h + (x / 2))) * ((z . (h - x)) - (z . h))) is V11() V12() ext-real Element of REAL
K36(((((f . (h + x)) * ((cD (((central_difference (z,x)) . 1),x)) . h)) + (((f . ((h + (x / 2)) + (x / 2))) - (f . ((h + (x / 2)) - (x / 2)))) * (((central_difference (z,x)) . 1) . (h - (x / 2))))) - (((((central_difference (f,x)) . 1) . (h - (x / 2))) - (((central_difference (f,x)) . 1) . (h + (x / 2)))) * (z . (h - x)))),K38(((((central_difference (f,x)) . 1) . (h + (x / 2))) * ((z . (h - x)) - (z . h))))) is V11() V12() ext-real set
cD (f,x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (f,(x / 2)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (f,(- (x / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (f,(x / 2))) - (Shift (f,(- (x / 2)))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(cD (f,x)) . (h + (x / 2)) is V11() V12() ext-real Element of REAL
((cD (f,x)) . (h + (x / 2))) * (((central_difference (z,x)) . 1) . (h - (x / 2))) is V11() V12() ext-real Element of REAL
((f . (h + x)) * ((cD (((central_difference (z,x)) . 1),x)) . h)) + (((cD (f,x)) . (h + (x / 2))) * (((central_difference (z,x)) . 1) . (h - (x / 2)))) is V11() V12() ext-real Element of REAL
(((central_difference (f,x)) . 1) . (h + (x / 2))) - (((central_difference (f,x)) . 1) . (h - (x / 2))) is V11() V12() ext-real Element of REAL
K38((((central_difference (f,x)) . 1) . (h - (x / 2)))) is V11() V12() ext-real set
K36((((central_difference (f,x)) . 1) . (h + (x / 2))),K38((((central_difference (f,x)) . 1) . (h - (x / 2))))) is V11() V12() ext-real set
((((central_difference (f,x)) . 1) . (h + (x / 2))) - (((central_difference (f,x)) . 1) . (h - (x / 2)))) * (z . (h - x)) is V11() V12() ext-real Element of REAL
(((f . (h + x)) * ((cD (((central_difference (z,x)) . 1),x)) . h)) + (((cD (f,x)) . (h + (x / 2))) * (((central_difference (z,x)) . 1) . (h - (x / 2))))) + (((((central_difference (f,x)) . 1) . (h + (x / 2))) - (((central_difference (f,x)) . 1) . (h - (x / 2)))) * (z . (h - x))) is V11() V12() ext-real Element of REAL
((((f . (h + x)) * ((cD (((central_difference (z,x)) . 1),x)) . h)) + (((cD (f,x)) . (h + (x / 2))) * (((central_difference (z,x)) . 1) . (h - (x / 2))))) + (((((central_difference (f,x)) . 1) . (h + (x / 2))) - (((central_difference (f,x)) . 1) . (h - (x / 2)))) * (z . (h - x)))) - ((((central_difference (f,x)) . 1) . (h + (x / 2))) * ((z . (h - x)) - (z . h))) is V11() V12() ext-real Element of REAL
K36(((((f . (h + x)) * ((cD (((central_difference (z,x)) . 1),x)) . h)) + (((cD (f,x)) . (h + (x / 2))) * (((central_difference (z,x)) . 1) . (h - (x / 2))))) + (((((central_difference (f,x)) . 1) . (h + (x / 2))) - (((central_difference (f,x)) . 1) . (h - (x / 2)))) * (z . (h - x)))),K38(((((central_difference (f,x)) . 1) . (h + (x / 2))) * ((z . (h - x)) - (z . h))))) is V11() V12() ext-real set
cD (((central_difference (f,x)) . 1),x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (((central_difference (f,x)) . 1),(x / 2)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (((central_difference (f,x)) . 1),(- (x / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (((central_difference (f,x)) . 1),(x / 2))) - (Shift (((central_difference (f,x)) . 1),(- (x / 2)))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(cD (((central_difference (f,x)) . 1),x)) . h is V11() V12() ext-real Element of REAL
((cD (((central_difference (f,x)) . 1),x)) . h) * (z . (h - x)) is V11() V12() ext-real Element of REAL
(((f . (h + x)) * ((cD (((central_difference (z,x)) . 1),x)) . h)) + (((cD (f,x)) . (h + (x / 2))) * (((central_difference (z,x)) . 1) . (h - (x / 2))))) + (((cD (((central_difference (f,x)) . 1),x)) . h) * (z . (h - x))) is V11() V12() ext-real Element of REAL
z . ((h - (x / 2)) + (x / 2)) is V11() V12() ext-real Element of REAL
(z . ((h - (x / 2)) + (x / 2))) - (z . ((h - (x / 2)) - (x / 2))) is V11() V12() ext-real Element of REAL
K38((z . ((h - (x / 2)) - (x / 2)))) is V11() V12() ext-real set
K36((z . ((h - (x / 2)) + (x / 2))),K38((z . ((h - (x / 2)) - (x / 2))))) is V11() V12() ext-real set
(((central_difference (f,x)) . 1) . (h + (x / 2))) * ((z . ((h - (x / 2)) + (x / 2))) - (z . ((h - (x / 2)) - (x / 2)))) is V11() V12() ext-real Element of REAL
((((f . (h + x)) * ((cD (((central_difference (z,x)) . 1),x)) . h)) + (((cD (f,x)) . (h + (x / 2))) * (((central_difference (z,x)) . 1) . (h - (x / 2))))) + (((cD (((central_difference (f,x)) . 1),x)) . h) * (z . (h - x)))) + ((((central_difference (f,x)) . 1) . (h + (x / 2))) * ((z . ((h - (x / 2)) + (x / 2))) - (z . ((h - (x / 2)) - (x / 2))))) is V11() V12() ext-real Element of REAL
cD (z,x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (z,(x / 2)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (z,(- (x / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (z,(x / 2))) - (Shift (z,(- (x / 2)))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(cD (z,x)) . (h - (x / 2)) is V11() V12() ext-real Element of REAL
(((central_difference (f,x)) . 1) . (h + (x / 2))) * ((cD (z,x)) . (h - (x / 2))) is V11() V12() ext-real Element of REAL
((((f . (h + x)) * ((cD (((central_difference (z,x)) . 1),x)) . h)) + (((cD (f,x)) . (h + (x / 2))) * (((central_difference (z,x)) . 1) . (h - (x / 2))))) + (((cD (((central_difference (f,x)) . 1),x)) . h) * (z . (h - x)))) + ((((central_difference (f,x)) . 1) . (h + (x / 2))) * ((cD (z,x)) . (h - (x / 2)))) is V11() V12() ext-real Element of REAL
(central_difference (z,x)) . (1 + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((central_difference (z,x)) . (1 + 1)) . h is V11() V12() ext-real Element of REAL
(f . (h + x)) * (((central_difference (z,x)) . (1 + 1)) . h) is V11() V12() ext-real Element of REAL
((f . (h + x)) * (((central_difference (z,x)) . (1 + 1)) . h)) + (((cD (f,x)) . (h + (x / 2))) * (((central_difference (z,x)) . 1) . (h - (x / 2)))) is V11() V12() ext-real Element of REAL
(((f . (h + x)) * (((central_difference (z,x)) . (1 + 1)) . h)) + (((cD (f,x)) . (h + (x / 2))) * (((central_difference (z,x)) . 1) . (h - (x / 2))))) + (((cD (((central_difference (f,x)) . 1),x)) . h) * (z . (h - x))) is V11() V12() ext-real Element of REAL
((((f . (h + x)) * (((central_difference (z,x)) . (1 + 1)) . h)) + (((cD (f,x)) . (h + (x / 2))) * (((central_difference (z,x)) . 1) . (h - (x / 2))))) + (((cD (((central_difference (f,x)) . 1),x)) . h) * (z . (h - x)))) + ((((central_difference (f,x)) . 1) . (h + (x / 2))) * ((cD (z,x)) . (h - (x / 2)))) is V11() V12() ext-real Element of REAL
(central_difference (z,x)) . 2 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((central_difference (z,x)) . 2) . h is V11() V12() ext-real Element of REAL
(f . (h + x)) * (((central_difference (z,x)) . 2) . h) is V11() V12() ext-real Element of REAL
(((central_difference (f,x)) . 1) . (h + (x / 2))) * (((central_difference (z,x)) . 1) . (h - (x / 2))) is V11() V12() ext-real Element of REAL
((f . (h + x)) * (((central_difference (z,x)) . 2) . h)) + ((((central_difference (f,x)) . 1) . (h + (x / 2))) * (((central_difference (z,x)) . 1) . (h - (x / 2)))) is V11() V12() ext-real Element of REAL
(((f . (h + x)) * (((central_difference (z,x)) . 2) . h)) + ((((central_difference (f,x)) . 1) . (h + (x / 2))) * (((central_difference (z,x)) . 1) . (h - (x / 2))))) + (((cD (((central_difference (f,x)) . 1),x)) . h) * (z . (h - x))) is V11() V12() ext-real Element of REAL
((((f . (h + x)) * (((central_difference (z,x)) . 2) . h)) + ((((central_difference (f,x)) . 1) . (h + (x / 2))) * (((central_difference (z,x)) . 1) . (h - (x / 2))))) + (((cD (((central_difference (f,x)) . 1),x)) . h) * (z . (h - x)))) + ((((central_difference (f,x)) . 1) . (h + (x / 2))) * ((cD (z,x)) . (h - (x / 2)))) is V11() V12() ext-real Element of REAL
(central_difference (f,x)) . (1 + 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((central_difference (f,x)) . (1 + 1)) . h is V11() V12() ext-real Element of REAL
(((central_difference (f,x)) . (1 + 1)) . h) * (z . (h - x)) is V11() V12() ext-real Element of REAL
(((f . (h + x)) * (((central_difference (z,x)) . 2) . h)) + ((((central_difference (f,x)) . 1) . (h + (x / 2))) * (((central_difference (z,x)) . 1) . (h - (x / 2))))) + ((((central_difference (f,x)) . (1 + 1)) . h) * (z . (h - x))) is V11() V12() ext-real Element of REAL
((((f . (h + x)) * (((central_difference (z,x)) . 2) . h)) + ((((central_difference (f,x)) . 1) . (h + (x / 2))) * (((central_difference (z,x)) . 1) . (h - (x / 2))))) + ((((central_difference (f,x)) . (1 + 1)) . h) * (z . (h - x)))) + ((((central_difference (f,x)) . 1) . (h + (x / 2))) * ((cD (z,x)) . (h - (x / 2)))) is V11() V12() ext-real Element of REAL
(central_difference (f,x)) . 2 is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((central_difference (f,x)) . 2) . h is V11() V12() ext-real Element of REAL
(((central_difference (f,x)) . 2) . h) * (z . (h - x)) is V11() V12() ext-real Element of REAL
(((f . (h + x)) * (((central_difference (z,x)) . 2) . h)) + ((((central_difference (f,x)) . 1) . (h + (x / 2))) * (((central_difference (z,x)) . 1) . (h - (x / 2))))) + ((((central_difference (f,x)) . 2) . h) * (z . (h - x))) is V11() V12() ext-real Element of REAL
((((f . (h + x)) * (((central_difference (z,x)) . 2) . h)) + ((((central_difference (f,x)) . 1) . (h + (x / 2))) * (((central_difference (z,x)) . 1) . (h - (x / 2))))) + ((((central_difference (f,x)) . 2) . h) * (z . (h - x)))) + ((((central_difference (f,x)) . 1) . (h + (x / 2))) * (((central_difference (z,x)) . 1) . (h - (x / 2)))) is V11() V12() ext-real Element of REAL
2 * (((central_difference (f,x)) . 1) . (h + (x / 2))) is V11() V12() ext-real Element of REAL
(2 * (((central_difference (f,x)) . 1) . (h + (x / 2)))) * (((central_difference (z,x)) . 1) . (h - (x / 2))) is V11() V12() ext-real Element of REAL
((f . (h + x)) * (((central_difference (z,x)) . 2) . h)) + ((2 * (((central_difference (f,x)) . 1) . (h + (x / 2)))) * (((central_difference (z,x)) . 1) . (h - (x / 2)))) is V11() V12() ext-real Element of REAL
(((f . (h + x)) * (((central_difference (z,x)) . 2) . h)) + ((2 * (((central_difference (f,x)) . 1) . (h + (x / 2)))) * (((central_difference (z,x)) . 1) . (h - (x / 2))))) + ((((central_difference (f,x)) . 2) . h) * (z . (h - x))) is V11() V12() ext-real Element of REAL
2 -' 0 is V10() V11() V12() ext-real non negative V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
2 - 0 is V11() V12() ext-real Element of REAL
K36(2,K38(0)) is V11() V12() ext-real set
(f . 2) . 0 is V11() V12() ext-real Element of REAL
2 choose 0 is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
(2 -' 0) * (x / 2) is V11() V12() ext-real Element of REAL
h + ((2 -' 0) * (x / 2)) is V11() V12() ext-real Element of REAL
((central_difference (f,x)) . 0) . (h + ((2 -' 0) * (x / 2))) is V11() V12() ext-real Element of REAL
(2 choose 0) * (((central_difference (f,x)) . 0) . (h + ((2 -' 0) * (x / 2)))) is V11() V12() ext-real Element of REAL
(central_difference (z,x)) . (2 -' 0) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((central_difference (z,x)) . (2 -' 0)) . (h - (0 * (x / 2))) is V11() V12() ext-real Element of REAL
((2 choose 0) * (((central_difference (f,x)) . 0) . (h + ((2 -' 0) * (x / 2))))) * (((central_difference (z,x)) . (2 -' 0)) . (h - (0 * (x / 2)))) is V11() V12() ext-real Element of REAL
1 * (((central_difference (f,x)) . 0) . (h + ((2 -' 0) * (x / 2)))) is V11() V12() ext-real Element of REAL
(1 * (((central_difference (f,x)) . 0) . (h + ((2 -' 0) * (x / 2))))) * (((central_difference (z,x)) . (2 -' 0)) . (h - (0 * (x / 2)))) is V11() V12() ext-real Element of REAL
2 -' 1 is V10() V11() V12() ext-real non negative V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
2 - 1 is V11() V12() ext-real Element of REAL
K36(2,K38(1)) is V11() V12() ext-real set
(f . 2) . 1 is V11() V12() ext-real Element of REAL
2 choose 1 is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
(2 -' 1) * (x / 2) is V11() V12() ext-real Element of REAL
h + ((2 -' 1) * (x / 2)) is V11() V12() ext-real Element of REAL
((central_difference (f,x)) . 1) . (h + ((2 -' 1) * (x / 2))) is V11() V12() ext-real Element of REAL
(2 choose 1) * (((central_difference (f,x)) . 1) . (h + ((2 -' 1) * (x / 2)))) is V11() V12() ext-real Element of REAL
(central_difference (z,x)) . (2 -' 1) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((central_difference (z,x)) . (2 -' 1)) . (h - (1 * (x / 2))) is V11() V12() ext-real Element of REAL
((2 choose 1) * (((central_difference (f,x)) . 1) . (h + ((2 -' 1) * (x / 2))))) * (((central_difference (z,x)) . (2 -' 1)) . (h - (1 * (x / 2)))) is V11() V12() ext-real Element of REAL
2 -' 2 is V10() V11() V12() ext-real non negative V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
2 - 2 is V11() V12() ext-real Element of REAL
K38(2) is V1() V11() V12() ext-real set
K36(2,K38(2)) is V11() V12() ext-real set
(f . 2) . 2 is V11() V12() ext-real Element of REAL
2 choose 2 is V10() V11() V12() ext-real V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
(2 -' 2) * (x / 2) is V11() V12() ext-real Element of REAL
h + ((2 -' 2) * (x / 2)) is V11() V12() ext-real Element of REAL
((central_difference (f,x)) . 2) . (h + ((2 -' 2) * (x / 2))) is V11() V12() ext-real Element of REAL
(2 choose 2) * (((central_difference (f,x)) . 2) . (h + ((2 -' 2) * (x / 2)))) is V11() V12() ext-real Element of REAL
(central_difference (z,x)) . (2 -' 2) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
2 * (x / 2) is V11() V12() ext-real Element of REAL
h - (2 * (x / 2)) is V11() V12() ext-real Element of REAL
K38((2 * (x / 2))) is V11() V12() ext-real set
K36(h,K38((2 * (x / 2)))) is V11() V12() ext-real set
((central_difference (z,x)) . (2 -' 2)) . (h - (2 * (x / 2))) is V11() V12() ext-real Element of REAL
((2 choose 2) * (((central_difference (f,x)) . 2) . (h + ((2 -' 2) * (x / 2))))) * (((central_difference (z,x)) . (2 -' 2)) . (h - (2 * (x / 2)))) is V11() V12() ext-real Element of REAL
1 * (((central_difference (f,x)) . 2) . (h + ((2 -' 2) * (x / 2)))) is V11() V12() ext-real Element of REAL
(1 * (((central_difference (f,x)) . 2) . (h + ((2 -' 2) * (x / 2))))) * (((central_difference (z,x)) . (2 -' 2)) . (h - (2 * (x / 2)))) is V11() V12() ext-real Element of REAL
Partial_Sums (f . 2) is V13() V16( NAT ) V17( REAL ) V18() V23( NAT ) V27( NAT , REAL ) V33() V34() V35() Element of bool [:NAT,REAL:]
(Partial_Sums (f . 2)) . (1 + 1) is V11() V12() ext-real Element of REAL
(Partial_Sums (f . 2)) . (0 + 1) is V11() V12() ext-real Element of REAL
((Partial_Sums (f . 2)) . (0 + 1)) + ((f . 2) . 2) is V11() V12() ext-real Element of REAL
(Partial_Sums (f . 2)) . 0 is V11() V12() ext-real Element of REAL
((Partial_Sums (f . 2)) . 0) + ((f . 2) . 1) is V11() V12() ext-real Element of REAL
(((Partial_Sums (f . 2)) . 0) + ((f . 2) . 1)) + ((f . 2) . 2) is V11() V12() ext-real Element of REAL
x is V11() V12() ext-real Element of REAL
sqrt x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
sqrt h is V11() V12() ext-real Element of REAL
(sqrt x) + (sqrt h) is V11() V12() ext-real Element of REAL
1 / ((sqrt x) + (sqrt h)) is V11() V12() ext-real Element of REAL
K39(((sqrt x) + (sqrt h))) is V11() V12() ext-real set
K37(1,K39(((sqrt x) + (sqrt h)))) is V11() V12() ext-real set
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
[!f,x,h!] is V11() V12() ext-real Element of REAL
f . x is V11() V12() ext-real Element of REAL
f . h is V11() V12() ext-real Element of REAL
(f . x) - (f . h) is V11() V12() ext-real Element of REAL
K38((f . h)) is V11() V12() ext-real set
K36((f . x),K38((f . h))) is V11() V12() ext-real set
K40(x,h) is V11() V12() ext-real set
K38(h) is V11() V12() ext-real set
K36(x,K38(h)) is V11() V12() ext-real set
((f . x) - (f . h)) / K40(x,h) is V11() V12() ext-real Element of REAL
K39(K40(x,h)) is V11() V12() ext-real set
K37(((f . x) - (f . h)),K39(K40(x,h))) is V11() V12() ext-real set
f . h is V11() V12() ext-real Element of REAL
(sqrt x) - (f . h) is V11() V12() ext-real Element of REAL
K38((f . h)) is V11() V12() ext-real set
K36((sqrt x),K38((f . h))) is V11() V12() ext-real set
x - h is V11() V12() ext-real Element of REAL
((sqrt x) - (f . h)) / (x - h) is V11() V12() ext-real Element of REAL
K39((x - h)) is V11() V12() ext-real set
K37(((sqrt x) - (f . h)),K39((x - h))) is V11() V12() ext-real set
(sqrt x) - (sqrt h) is V11() V12() ext-real Element of REAL
K38((sqrt h)) is V11() V12() ext-real set
K36((sqrt x),K38((sqrt h))) is V11() V12() ext-real set
((sqrt x) - (sqrt h)) / (x - h) is V11() V12() ext-real Element of REAL
K37(((sqrt x) - (sqrt h)),K39((x - h))) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
sqrt x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
sqrt h is V11() V12() ext-real Element of REAL
(sqrt x) + (sqrt h) is V11() V12() ext-real Element of REAL
f is V11() V12() ext-real Element of REAL
sqrt f is V11() V12() ext-real Element of REAL
(sqrt x) + (sqrt f) is V11() V12() ext-real Element of REAL
((sqrt x) + (sqrt h)) * ((sqrt x) + (sqrt f)) is V11() V12() ext-real Element of REAL
(sqrt h) + (sqrt f) is V11() V12() ext-real Element of REAL
(((sqrt x) + (sqrt h)) * ((sqrt x) + (sqrt f))) * ((sqrt h) + (sqrt f)) is V11() V12() ext-real Element of REAL
1 / ((((sqrt x) + (sqrt h)) * ((sqrt x) + (sqrt f))) * ((sqrt h) + (sqrt f))) is V11() V12() ext-real Element of REAL
K39(((((sqrt x) + (sqrt h)) * ((sqrt x) + (sqrt f))) * ((sqrt h) + (sqrt f)))) is V11() V12() ext-real set
K37(1,K39(((((sqrt x) + (sqrt h)) * ((sqrt x) + (sqrt f))) * ((sqrt h) + (sqrt f))))) is V11() V12() ext-real set
- (1 / ((((sqrt x) + (sqrt h)) * ((sqrt x) + (sqrt f))) * ((sqrt h) + (sqrt f)))) is V11() V12() ext-real Element of REAL
z is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
[!z,x,h,f!] is V11() V12() ext-real Element of REAL
[!z,x,h!] is V11() V12() ext-real Element of REAL
z . x is V11() V12() ext-real Element of REAL
z . h is V11() V12() ext-real Element of REAL
(z . x) - (z . h) is V11() V12() ext-real Element of REAL
K38((z . h)) is V11() V12() ext-real set
K36((z . x),K38((z . h))) is V11() V12() ext-real set
K40(x,h) is V11() V12() ext-real set
K38(h) is V11() V12() ext-real set
K36(x,K38(h)) is V11() V12() ext-real set
((z . x) - (z . h)) / K40(x,h) is V11() V12() ext-real Element of REAL
K39(K40(x,h)) is V11() V12() ext-real set
K37(((z . x) - (z . h)),K39(K40(x,h))) is V11() V12() ext-real set
[!z,h,f!] is V11() V12() ext-real Element of REAL
z . f is V11() V12() ext-real Element of REAL
(z . h) - (z . f) is V11() V12() ext-real Element of REAL
K38((z . f)) is V11() V12() ext-real set
K36((z . h),K38((z . f))) is V11() V12() ext-real set
K40(h,f) is V11() V12() ext-real set
K38(f) is V11() V12() ext-real set
K36(h,K38(f)) is V11() V12() ext-real set
((z . h) - (z . f)) / K40(h,f) is V11() V12() ext-real Element of REAL
K39(K40(h,f)) is V11() V12() ext-real set
K37(((z . h) - (z . f)),K39(K40(h,f))) is V11() V12() ext-real set
[!z,x,h!] - [!z,h,f!] is V11() V12() ext-real Element of REAL
K38([!z,h,f!]) is V11() V12() ext-real set
K36([!z,x,h!],K38([!z,h,f!])) is V11() V12() ext-real set
K40(x,f) is V11() V12() ext-real set
K36(x,K38(f)) is V11() V12() ext-real set
([!z,x,h!] - [!z,h,f!]) / K40(x,f) is V11() V12() ext-real Element of REAL
K39(K40(x,f)) is V11() V12() ext-real set
K37(([!z,x,h!] - [!z,h,f!]),K39(K40(x,f))) is V11() V12() ext-real set
z . x is V11() V12() ext-real Element of REAL
z . h is V11() V12() ext-real Element of REAL
z . f is V11() V12() ext-real Element of REAL
1 / ((sqrt x) + (sqrt h)) is V11() V12() ext-real Element of REAL
K39(((sqrt x) + (sqrt h))) is V11() V12() ext-real set
K37(1,K39(((sqrt x) + (sqrt h)))) is V11() V12() ext-real set
(sqrt h) - (sqrt f) is V11() V12() ext-real Element of REAL
K38((sqrt f)) is V11() V12() ext-real set
K36((sqrt h),K38((sqrt f))) is V11() V12() ext-real set
h - f is V11() V12() ext-real Element of REAL
((sqrt h) - (sqrt f)) / (h - f) is V11() V12() ext-real Element of REAL
K39((h - f)) is V11() V12() ext-real set
K37(((sqrt h) - (sqrt f)),K39((h - f))) is V11() V12() ext-real set
(1 / ((sqrt x) + (sqrt h))) - (((sqrt h) - (sqrt f)) / (h - f)) is V11() V12() ext-real Element of REAL
K38((((sqrt h) - (sqrt f)) / (h - f))) is V11() V12() ext-real set
K36((1 / ((sqrt x) + (sqrt h))),K38((((sqrt h) - (sqrt f)) / (h - f)))) is V11() V12() ext-real set
x - f is V11() V12() ext-real Element of REAL
((1 / ((sqrt x) + (sqrt h))) - (((sqrt h) - (sqrt f)) / (h - f))) / (x - f) is V11() V12() ext-real Element of REAL
K39((x - f)) is V11() V12() ext-real set
K37(((1 / ((sqrt x) + (sqrt h))) - (((sqrt h) - (sqrt f)) / (h - f))),K39((x - f))) is V11() V12() ext-real set
1 / ((sqrt h) + (sqrt f)) is V11() V12() ext-real Element of REAL
K39(((sqrt h) + (sqrt f))) is V11() V12() ext-real set
K37(1,K39(((sqrt h) + (sqrt f)))) is V11() V12() ext-real set
(1 / ((sqrt x) + (sqrt h))) - (1 / ((sqrt h) + (sqrt f))) is V11() V12() ext-real Element of REAL
K38((1 / ((sqrt h) + (sqrt f)))) is V11() V12() ext-real set
K36((1 / ((sqrt x) + (sqrt h))),K38((1 / ((sqrt h) + (sqrt f))))) is V11() V12() ext-real set
((1 / ((sqrt x) + (sqrt h))) - (1 / ((sqrt h) + (sqrt f)))) / (x - f) is V11() V12() ext-real Element of REAL
K37(((1 / ((sqrt x) + (sqrt h))) - (1 / ((sqrt h) + (sqrt f)))),K39((x - f))) is V11() V12() ext-real set
1 * ((sqrt h) + (sqrt f)) is V11() V12() ext-real Element of REAL
1 * ((sqrt x) + (sqrt h)) is V11() V12() ext-real Element of REAL
(1 * ((sqrt h) + (sqrt f))) - (1 * ((sqrt x) + (sqrt h))) is V11() V12() ext-real Element of REAL
K38((1 * ((sqrt x) + (sqrt h)))) is V11() V12() ext-real set
K36((1 * ((sqrt h) + (sqrt f))),K38((1 * ((sqrt x) + (sqrt h))))) is V11() V12() ext-real set
((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)) is V11() V12() ext-real Element of REAL
((1 * ((sqrt h) + (sqrt f))) - (1 * ((sqrt x) + (sqrt h)))) / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))) is V11() V12() ext-real Element of REAL
K39((((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))) is V11() V12() ext-real set
K37(((1 * ((sqrt h) + (sqrt f))) - (1 * ((sqrt x) + (sqrt h)))),K39((((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))))) is V11() V12() ext-real set
(((1 * ((sqrt h) + (sqrt f))) - (1 * ((sqrt x) + (sqrt h)))) / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))) / (x - f) is V11() V12() ext-real Element of REAL
K37((((1 * ((sqrt h) + (sqrt f))) - (1 * ((sqrt x) + (sqrt h)))) / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))),K39((x - f))) is V11() V12() ext-real set
(sqrt f) - (sqrt x) is V11() V12() ext-real Element of REAL
K38((sqrt x)) is V11() V12() ext-real set
K36((sqrt f),K38((sqrt x))) is V11() V12() ext-real set
((sqrt f) - (sqrt x)) / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))) is V11() V12() ext-real Element of REAL
K37(((sqrt f) - (sqrt x)),K39((((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))))) is V11() V12() ext-real set
f - x is V11() V12() ext-real Element of REAL
K38(x) is V11() V12() ext-real set
K36(f,K38(x)) is V11() V12() ext-real set
- (f - x) is V11() V12() ext-real Element of REAL
(((sqrt f) - (sqrt x)) / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))) / (- (f - x)) is V11() V12() ext-real Element of REAL
K39((- (f - x))) is V11() V12() ext-real set
K37((((sqrt f) - (sqrt x)) / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))),K39((- (f - x)))) is V11() V12() ext-real set
(((sqrt f) - (sqrt x)) / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))) / (f - x) is V11() V12() ext-real Element of REAL
K39((f - x)) is V11() V12() ext-real set
K37((((sqrt f) - (sqrt x)) / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))),K39((f - x))) is V11() V12() ext-real set
- ((((sqrt f) - (sqrt x)) / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))) / (f - x)) is V11() V12() ext-real Element of REAL
1 / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))) is V11() V12() ext-real Element of REAL
K37(1,K39((((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))))) is V11() V12() ext-real set
((sqrt f) - (sqrt x)) / (f - x) is V11() V12() ext-real Element of REAL
K37(((sqrt f) - (sqrt x)),K39((f - x))) is V11() V12() ext-real set
(1 / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))) * (((sqrt f) - (sqrt x)) / (f - x)) is V11() V12() ext-real Element of REAL
- ((1 / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))) * (((sqrt f) - (sqrt x)) / (f - x))) is V11() V12() ext-real Element of REAL
(sqrt f) + (sqrt x) is V11() V12() ext-real Element of REAL
1 / ((sqrt f) + (sqrt x)) is V11() V12() ext-real Element of REAL
K39(((sqrt f) + (sqrt x))) is V11() V12() ext-real set
K37(1,K39(((sqrt f) + (sqrt x)))) is V11() V12() ext-real set
(1 / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))) * (1 / ((sqrt f) + (sqrt x))) is V11() V12() ext-real Element of REAL
- ((1 / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))) * (1 / ((sqrt f) + (sqrt x)))) is V11() V12() ext-real Element of REAL
(((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x)) is V11() V12() ext-real Element of REAL
1 / ((((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))) is V11() V12() ext-real Element of REAL
K39(((((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x)))) is V11() V12() ext-real set
K37(1,K39(((((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))))) is V11() V12() ext-real set
- (1 / ((((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x)))) is V11() V12() ext-real Element of REAL
x is V11() V12() ext-real Element of REAL
sqrt x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
sqrt h is V11() V12() ext-real Element of REAL
(sqrt x) + (sqrt h) is V11() V12() ext-real Element of REAL
f is V11() V12() ext-real Element of REAL
sqrt f is V11() V12() ext-real Element of REAL
((sqrt x) + (sqrt h)) + (sqrt f) is V11() V12() ext-real Element of REAL
(sqrt x) + (sqrt f) is V11() V12() ext-real Element of REAL
((sqrt x) + (sqrt h)) * ((sqrt x) + (sqrt f)) is V11() V12() ext-real Element of REAL
(sqrt h) + (sqrt f) is V11() V12() ext-real Element of REAL
z is V11() V12() ext-real Element of REAL
sqrt z is V11() V12() ext-real Element of REAL
(((sqrt x) + (sqrt h)) + (sqrt f)) + (sqrt z) is V11() V12() ext-real Element of REAL
(sqrt x) + (sqrt z) is V11() V12() ext-real Element of REAL
(((sqrt x) + (sqrt h)) * ((sqrt x) + (sqrt f))) * ((sqrt x) + (sqrt z)) is V11() V12() ext-real Element of REAL
((((sqrt x) + (sqrt h)) * ((sqrt x) + (sqrt f))) * ((sqrt x) + (sqrt z))) * ((sqrt h) + (sqrt f)) is V11() V12() ext-real Element of REAL
(sqrt h) + (sqrt z) is V11() V12() ext-real Element of REAL
(((((sqrt x) + (sqrt h)) * ((sqrt x) + (sqrt f))) * ((sqrt x) + (sqrt z))) * ((sqrt h) + (sqrt f))) * ((sqrt h) + (sqrt z)) is V11() V12() ext-real Element of REAL
(sqrt f) + (sqrt z) is V11() V12() ext-real Element of REAL
((((((sqrt x) + (sqrt h)) * ((sqrt x) + (sqrt f))) * ((sqrt x) + (sqrt z))) * ((sqrt h) + (sqrt f))) * ((sqrt h) + (sqrt z))) * ((sqrt f) + (sqrt z)) is V11() V12() ext-real Element of REAL
((((sqrt x) + (sqrt h)) + (sqrt f)) + (sqrt z)) / (((((((sqrt x) + (sqrt h)) * ((sqrt x) + (sqrt f))) * ((sqrt x) + (sqrt z))) * ((sqrt h) + (sqrt f))) * ((sqrt h) + (sqrt z))) * ((sqrt f) + (sqrt z))) is V11() V12() ext-real Element of REAL
K39((((((((sqrt x) + (sqrt h)) * ((sqrt x) + (sqrt f))) * ((sqrt x) + (sqrt z))) * ((sqrt h) + (sqrt f))) * ((sqrt h) + (sqrt z))) * ((sqrt f) + (sqrt z)))) is V11() V12() ext-real set
K37(((((sqrt x) + (sqrt h)) + (sqrt f)) + (sqrt z)),K39((((((((sqrt x) + (sqrt h)) * ((sqrt x) + (sqrt f))) * ((sqrt x) + (sqrt z))) * ((sqrt h) + (sqrt f))) * ((sqrt h) + (sqrt z))) * ((sqrt f) + (sqrt z))))) is V11() V12() ext-real set
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
[!f,x,h,f,z!] is V11() V12() ext-real Element of REAL
[!f,x,h,f!] is V11() V12() ext-real Element of REAL
[!f,x,h!] is V11() V12() ext-real Element of REAL
f . x is V11() V12() ext-real Element of REAL
f . h is V11() V12() ext-real Element of REAL
(f . x) - (f . h) is V11() V12() ext-real Element of REAL
K38((f . h)) is V11() V12() ext-real set
K36((f . x),K38((f . h))) is V11() V12() ext-real set
K40(x,h) is V11() V12() ext-real set
K38(h) is V11() V12() ext-real set
K36(x,K38(h)) is V11() V12() ext-real set
((f . x) - (f . h)) / K40(x,h) is V11() V12() ext-real Element of REAL
K39(K40(x,h)) is V11() V12() ext-real set
K37(((f . x) - (f . h)),K39(K40(x,h))) is V11() V12() ext-real set
[!f,h,f!] is V11() V12() ext-real Element of REAL
f . f is V11() V12() ext-real Element of REAL
(f . h) - (f . f) is V11() V12() ext-real Element of REAL
K38((f . f)) is V11() V12() ext-real set
K36((f . h),K38((f . f))) is V11() V12() ext-real set
K40(h,f) is V11() V12() ext-real set
K38(f) is V11() V12() ext-real set
K36(h,K38(f)) is V11() V12() ext-real set
((f . h) - (f . f)) / K40(h,f) is V11() V12() ext-real Element of REAL
K39(K40(h,f)) is V11() V12() ext-real set
K37(((f . h) - (f . f)),K39(K40(h,f))) is V11() V12() ext-real set
[!f,x,h!] - [!f,h,f!] is V11() V12() ext-real Element of REAL
K38([!f,h,f!]) is V11() V12() ext-real set
K36([!f,x,h!],K38([!f,h,f!])) is V11() V12() ext-real set
K40(x,f) is V11() V12() ext-real set
K36(x,K38(f)) is V11() V12() ext-real set
([!f,x,h!] - [!f,h,f!]) / K40(x,f) is V11() V12() ext-real Element of REAL
K39(K40(x,f)) is V11() V12() ext-real set
K37(([!f,x,h!] - [!f,h,f!]),K39(K40(x,f))) is V11() V12() ext-real set
[!f,h,f,z!] is V11() V12() ext-real Element of REAL
[!f,f,z!] is V11() V12() ext-real Element of REAL
f . z is V11() V12() ext-real Element of REAL
(f . f) - (f . z) is V11() V12() ext-real Element of REAL
K38((f . z)) is V11() V12() ext-real set
K36((f . f),K38((f . z))) is V11() V12() ext-real set
K40(f,z) is V11() V12() ext-real set
K38(z) is V11() V12() ext-real set
K36(f,K38(z)) is V11() V12() ext-real set
((f . f) - (f . z)) / K40(f,z) is V11() V12() ext-real Element of REAL
K39(K40(f,z)) is V11() V12() ext-real set
K37(((f . f) - (f . z)),K39(K40(f,z))) is V11() V12() ext-real set
[!f,h,f!] - [!f,f,z!] is V11() V12() ext-real Element of REAL
K38([!f,f,z!]) is V11() V12() ext-real set
K36([!f,h,f!],K38([!f,f,z!])) is V11() V12() ext-real set
K40(h,z) is V11() V12() ext-real set
K36(h,K38(z)) is V11() V12() ext-real set
([!f,h,f!] - [!f,f,z!]) / K40(h,z) is V11() V12() ext-real Element of REAL
K39(K40(h,z)) is V11() V12() ext-real set
K37(([!f,h,f!] - [!f,f,z!]),K39(K40(h,z))) is V11() V12() ext-real set
[!f,x,h,f!] - [!f,h,f,z!] is V11() V12() ext-real Element of REAL
K38([!f,h,f,z!]) is V11() V12() ext-real set
K36([!f,x,h,f!],K38([!f,h,f,z!])) is V11() V12() ext-real set
K40(x,z) is V11() V12() ext-real set
K36(x,K38(z)) is V11() V12() ext-real set
([!f,x,h,f!] - [!f,h,f,z!]) / K40(x,z) is V11() V12() ext-real Element of REAL
K39(K40(x,z)) is V11() V12() ext-real set
K37(([!f,x,h,f!] - [!f,h,f,z!]),K39(K40(x,z))) is V11() V12() ext-real set
f . x is V11() V12() ext-real Element of REAL
f . h is V11() V12() ext-real Element of REAL
f . f is V11() V12() ext-real Element of REAL
f . z is V11() V12() ext-real Element of REAL
(sqrt f) + (sqrt x) is V11() V12() ext-real Element of REAL
(sqrt z) + (sqrt h) is V11() V12() ext-real Element of REAL
1 / ((sqrt x) + (sqrt h)) is V11() V12() ext-real Element of REAL
K39(((sqrt x) + (sqrt h))) is V11() V12() ext-real set
K37(1,K39(((sqrt x) + (sqrt h)))) is V11() V12() ext-real set
(sqrt h) - (sqrt f) is V11() V12() ext-real Element of REAL
K38((sqrt f)) is V11() V12() ext-real set
K36((sqrt h),K38((sqrt f))) is V11() V12() ext-real set
h - f is V11() V12() ext-real Element of REAL
((sqrt h) - (sqrt f)) / (h - f) is V11() V12() ext-real Element of REAL
K39((h - f)) is V11() V12() ext-real set
K37(((sqrt h) - (sqrt f)),K39((h - f))) is V11() V12() ext-real set
(1 / ((sqrt x) + (sqrt h))) - (((sqrt h) - (sqrt f)) / (h - f)) is V11() V12() ext-real Element of REAL
K38((((sqrt h) - (sqrt f)) / (h - f))) is V11() V12() ext-real set
K36((1 / ((sqrt x) + (sqrt h))),K38((((sqrt h) - (sqrt f)) / (h - f)))) is V11() V12() ext-real set
x - f is V11() V12() ext-real Element of REAL
((1 / ((sqrt x) + (sqrt h))) - (((sqrt h) - (sqrt f)) / (h - f))) / (x - f) is V11() V12() ext-real Element of REAL
K39((x - f)) is V11() V12() ext-real set
K37(((1 / ((sqrt x) + (sqrt h))) - (((sqrt h) - (sqrt f)) / (h - f))),K39((x - f))) is V11() V12() ext-real set
(sqrt f) - (sqrt z) is V11() V12() ext-real Element of REAL
K38((sqrt z)) is V11() V12() ext-real set
K36((sqrt f),K38((sqrt z))) is V11() V12() ext-real set
f - z is V11() V12() ext-real Element of REAL
((sqrt f) - (sqrt z)) / (f - z) is V11() V12() ext-real Element of REAL
K39((f - z)) is V11() V12() ext-real set
K37(((sqrt f) - (sqrt z)),K39((f - z))) is V11() V12() ext-real set
(((sqrt h) - (sqrt f)) / (h - f)) - (((sqrt f) - (sqrt z)) / (f - z)) is V11() V12() ext-real Element of REAL
K38((((sqrt f) - (sqrt z)) / (f - z))) is V11() V12() ext-real set
K36((((sqrt h) - (sqrt f)) / (h - f)),K38((((sqrt f) - (sqrt z)) / (f - z)))) is V11() V12() ext-real set
h - z is V11() V12() ext-real Element of REAL
((((sqrt h) - (sqrt f)) / (h - f)) - (((sqrt f) - (sqrt z)) / (f - z))) / (h - z) is V11() V12() ext-real Element of REAL
K39((h - z)) is V11() V12() ext-real set
K37(((((sqrt h) - (sqrt f)) / (h - f)) - (((sqrt f) - (sqrt z)) / (f - z))),K39((h - z))) is V11() V12() ext-real set
(((1 / ((sqrt x) + (sqrt h))) - (((sqrt h) - (sqrt f)) / (h - f))) / (x - f)) - (((((sqrt h) - (sqrt f)) / (h - f)) - (((sqrt f) - (sqrt z)) / (f - z))) / (h - z)) is V11() V12() ext-real Element of REAL
K38((((((sqrt h) - (sqrt f)) / (h - f)) - (((sqrt f) - (sqrt z)) / (f - z))) / (h - z))) is V11() V12() ext-real set
K36((((1 / ((sqrt x) + (sqrt h))) - (((sqrt h) - (sqrt f)) / (h - f))) / (x - f)),K38((((((sqrt h) - (sqrt f)) / (h - f)) - (((sqrt f) - (sqrt z)) / (f - z))) / (h - z)))) is V11() V12() ext-real set
x - z is V11() V12() ext-real Element of REAL
((((1 / ((sqrt x) + (sqrt h))) - (((sqrt h) - (sqrt f)) / (h - f))) / (x - f)) - (((((sqrt h) - (sqrt f)) / (h - f)) - (((sqrt f) - (sqrt z)) / (f - z))) / (h - z))) / (x - z) is V11() V12() ext-real Element of REAL
K39((x - z)) is V11() V12() ext-real set
K37(((((1 / ((sqrt x) + (sqrt h))) - (((sqrt h) - (sqrt f)) / (h - f))) / (x - f)) - (((((sqrt h) - (sqrt f)) / (h - f)) - (((sqrt f) - (sqrt z)) / (f - z))) / (h - z))),K39((x - z))) is V11() V12() ext-real set
1 / ((sqrt h) + (sqrt f)) is V11() V12() ext-real Element of REAL
K39(((sqrt h) + (sqrt f))) is V11() V12() ext-real set
K37(1,K39(((sqrt h) + (sqrt f)))) is V11() V12() ext-real set
(1 / ((sqrt x) + (sqrt h))) - (1 / ((sqrt h) + (sqrt f))) is V11() V12() ext-real Element of REAL
K38((1 / ((sqrt h) + (sqrt f)))) is V11() V12() ext-real set
K36((1 / ((sqrt x) + (sqrt h))),K38((1 / ((sqrt h) + (sqrt f))))) is V11() V12() ext-real set
((1 / ((sqrt x) + (sqrt h))) - (1 / ((sqrt h) + (sqrt f)))) / (x - f) is V11() V12() ext-real Element of REAL
K37(((1 / ((sqrt x) + (sqrt h))) - (1 / ((sqrt h) + (sqrt f)))),K39((x - f))) is V11() V12() ext-real set
(((1 / ((sqrt x) + (sqrt h))) - (1 / ((sqrt h) + (sqrt f)))) / (x - f)) - (((((sqrt h) - (sqrt f)) / (h - f)) - (((sqrt f) - (sqrt z)) / (f - z))) / (h - z)) is V11() V12() ext-real Element of REAL
K36((((1 / ((sqrt x) + (sqrt h))) - (1 / ((sqrt h) + (sqrt f)))) / (x - f)),K38((((((sqrt h) - (sqrt f)) / (h - f)) - (((sqrt f) - (sqrt z)) / (f - z))) / (h - z)))) is V11() V12() ext-real set
((((1 / ((sqrt x) + (sqrt h))) - (1 / ((sqrt h) + (sqrt f)))) / (x - f)) - (((((sqrt h) - (sqrt f)) / (h - f)) - (((sqrt f) - (sqrt z)) / (f - z))) / (h - z))) / (x - z) is V11() V12() ext-real Element of REAL
K37(((((1 / ((sqrt x) + (sqrt h))) - (1 / ((sqrt h) + (sqrt f)))) / (x - f)) - (((((sqrt h) - (sqrt f)) / (h - f)) - (((sqrt f) - (sqrt z)) / (f - z))) / (h - z))),K39((x - z))) is V11() V12() ext-real set
(1 / ((sqrt h) + (sqrt f))) - (((sqrt f) - (sqrt z)) / (f - z)) is V11() V12() ext-real Element of REAL
K36((1 / ((sqrt h) + (sqrt f))),K38((((sqrt f) - (sqrt z)) / (f - z)))) is V11() V12() ext-real set
((1 / ((sqrt h) + (sqrt f))) - (((sqrt f) - (sqrt z)) / (f - z))) / (h - z) is V11() V12() ext-real Element of REAL
K37(((1 / ((sqrt h) + (sqrt f))) - (((sqrt f) - (sqrt z)) / (f - z))),K39((h - z))) is V11() V12() ext-real set
(((1 / ((sqrt x) + (sqrt h))) - (1 / ((sqrt h) + (sqrt f)))) / (x - f)) - (((1 / ((sqrt h) + (sqrt f))) - (((sqrt f) - (sqrt z)) / (f - z))) / (h - z)) is V11() V12() ext-real Element of REAL
K38((((1 / ((sqrt h) + (sqrt f))) - (((sqrt f) - (sqrt z)) / (f - z))) / (h - z))) is V11() V12() ext-real set
K36((((1 / ((sqrt x) + (sqrt h))) - (1 / ((sqrt h) + (sqrt f)))) / (x - f)),K38((((1 / ((sqrt h) + (sqrt f))) - (((sqrt f) - (sqrt z)) / (f - z))) / (h - z)))) is V11() V12() ext-real set
((((1 / ((sqrt x) + (sqrt h))) - (1 / ((sqrt h) + (sqrt f)))) / (x - f)) - (((1 / ((sqrt h) + (sqrt f))) - (((sqrt f) - (sqrt z)) / (f - z))) / (h - z))) / (x - z) is V11() V12() ext-real Element of REAL
K37(((((1 / ((sqrt x) + (sqrt h))) - (1 / ((sqrt h) + (sqrt f)))) / (x - f)) - (((1 / ((sqrt h) + (sqrt f))) - (((sqrt f) - (sqrt z)) / (f - z))) / (h - z))),K39((x - z))) is V11() V12() ext-real set
1 / ((sqrt f) + (sqrt z)) is V11() V12() ext-real Element of REAL
K39(((sqrt f) + (sqrt z))) is V11() V12() ext-real set
K37(1,K39(((sqrt f) + (sqrt z)))) is V11() V12() ext-real set
(1 / ((sqrt h) + (sqrt f))) - (1 / ((sqrt f) + (sqrt z))) is V11() V12() ext-real Element of REAL
K38((1 / ((sqrt f) + (sqrt z)))) is V11() V12() ext-real set
K36((1 / ((sqrt h) + (sqrt f))),K38((1 / ((sqrt f) + (sqrt z))))) is V11() V12() ext-real set
((1 / ((sqrt h) + (sqrt f))) - (1 / ((sqrt f) + (sqrt z)))) / (h - z) is V11() V12() ext-real Element of REAL
K37(((1 / ((sqrt h) + (sqrt f))) - (1 / ((sqrt f) + (sqrt z)))),K39((h - z))) is V11() V12() ext-real set
(((1 / ((sqrt x) + (sqrt h))) - (1 / ((sqrt h) + (sqrt f)))) / (x - f)) - (((1 / ((sqrt h) + (sqrt f))) - (1 / ((sqrt f) + (sqrt z)))) / (h - z)) is V11() V12() ext-real Element of REAL
K38((((1 / ((sqrt h) + (sqrt f))) - (1 / ((sqrt f) + (sqrt z)))) / (h - z))) is V11() V12() ext-real set
K36((((1 / ((sqrt x) + (sqrt h))) - (1 / ((sqrt h) + (sqrt f)))) / (x - f)),K38((((1 / ((sqrt h) + (sqrt f))) - (1 / ((sqrt f) + (sqrt z)))) / (h - z)))) is V11() V12() ext-real set
((((1 / ((sqrt x) + (sqrt h))) - (1 / ((sqrt h) + (sqrt f)))) / (x - f)) - (((1 / ((sqrt h) + (sqrt f))) - (1 / ((sqrt f) + (sqrt z)))) / (h - z))) / (x - z) is V11() V12() ext-real Element of REAL
K37(((((1 / ((sqrt x) + (sqrt h))) - (1 / ((sqrt h) + (sqrt f)))) / (x - f)) - (((1 / ((sqrt h) + (sqrt f))) - (1 / ((sqrt f) + (sqrt z)))) / (h - z))),K39((x - z))) is V11() V12() ext-real set
1 * ((sqrt h) + (sqrt f)) is V11() V12() ext-real Element of REAL
1 * ((sqrt x) + (sqrt h)) is V11() V12() ext-real Element of REAL
(1 * ((sqrt h) + (sqrt f))) - (1 * ((sqrt x) + (sqrt h))) is V11() V12() ext-real Element of REAL
K38((1 * ((sqrt x) + (sqrt h)))) is V11() V12() ext-real set
K36((1 * ((sqrt h) + (sqrt f))),K38((1 * ((sqrt x) + (sqrt h))))) is V11() V12() ext-real set
((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)) is V11() V12() ext-real Element of REAL
((1 * ((sqrt h) + (sqrt f))) - (1 * ((sqrt x) + (sqrt h)))) / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))) is V11() V12() ext-real Element of REAL
K39((((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))) is V11() V12() ext-real set
K37(((1 * ((sqrt h) + (sqrt f))) - (1 * ((sqrt x) + (sqrt h)))),K39((((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))))) is V11() V12() ext-real set
(((1 * ((sqrt h) + (sqrt f))) - (1 * ((sqrt x) + (sqrt h)))) / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))) / (x - f) is V11() V12() ext-real Element of REAL
K37((((1 * ((sqrt h) + (sqrt f))) - (1 * ((sqrt x) + (sqrt h)))) / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))),K39((x - f))) is V11() V12() ext-real set
((((1 * ((sqrt h) + (sqrt f))) - (1 * ((sqrt x) + (sqrt h)))) / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))) / (x - f)) - (((1 / ((sqrt h) + (sqrt f))) - (1 / ((sqrt f) + (sqrt z)))) / (h - z)) is V11() V12() ext-real Element of REAL
K36(((((1 * ((sqrt h) + (sqrt f))) - (1 * ((sqrt x) + (sqrt h)))) / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))) / (x - f)),K38((((1 / ((sqrt h) + (sqrt f))) - (1 / ((sqrt f) + (sqrt z)))) / (h - z)))) is V11() V12() ext-real set
(((((1 * ((sqrt h) + (sqrt f))) - (1 * ((sqrt x) + (sqrt h)))) / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))) / (x - f)) - (((1 / ((sqrt h) + (sqrt f))) - (1 / ((sqrt f) + (sqrt z)))) / (h - z))) / (x - z) is V11() V12() ext-real Element of REAL
K37((((((1 * ((sqrt h) + (sqrt f))) - (1 * ((sqrt x) + (sqrt h)))) / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))) / (x - f)) - (((1 / ((sqrt h) + (sqrt f))) - (1 / ((sqrt f) + (sqrt z)))) / (h - z))),K39((x - z))) is V11() V12() ext-real set
1 * ((sqrt f) + (sqrt z)) is V11() V12() ext-real Element of REAL
(1 * ((sqrt f) + (sqrt z))) - (1 * ((sqrt h) + (sqrt f))) is V11() V12() ext-real Element of REAL
K38((1 * ((sqrt h) + (sqrt f)))) is V11() V12() ext-real set
K36((1 * ((sqrt f) + (sqrt z))),K38((1 * ((sqrt h) + (sqrt f))))) is V11() V12() ext-real set
((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z)) is V11() V12() ext-real Element of REAL
((1 * ((sqrt f) + (sqrt z))) - (1 * ((sqrt h) + (sqrt f)))) / (((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z))) is V11() V12() ext-real Element of REAL
K39((((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z)))) is V11() V12() ext-real set
K37(((1 * ((sqrt f) + (sqrt z))) - (1 * ((sqrt h) + (sqrt f)))),K39((((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z))))) is V11() V12() ext-real set
(((1 * ((sqrt f) + (sqrt z))) - (1 * ((sqrt h) + (sqrt f)))) / (((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z)))) / (h - z) is V11() V12() ext-real Element of REAL
K37((((1 * ((sqrt f) + (sqrt z))) - (1 * ((sqrt h) + (sqrt f)))) / (((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z)))),K39((h - z))) is V11() V12() ext-real set
((((1 * ((sqrt h) + (sqrt f))) - (1 * ((sqrt x) + (sqrt h)))) / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))) / (x - f)) - ((((1 * ((sqrt f) + (sqrt z))) - (1 * ((sqrt h) + (sqrt f)))) / (((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z)))) / (h - z)) is V11() V12() ext-real Element of REAL
K38(((((1 * ((sqrt f) + (sqrt z))) - (1 * ((sqrt h) + (sqrt f)))) / (((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z)))) / (h - z))) is V11() V12() ext-real set
K36(((((1 * ((sqrt h) + (sqrt f))) - (1 * ((sqrt x) + (sqrt h)))) / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))) / (x - f)),K38(((((1 * ((sqrt f) + (sqrt z))) - (1 * ((sqrt h) + (sqrt f)))) / (((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z)))) / (h - z)))) is V11() V12() ext-real set
(((((1 * ((sqrt h) + (sqrt f))) - (1 * ((sqrt x) + (sqrt h)))) / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))) / (x - f)) - ((((1 * ((sqrt f) + (sqrt z))) - (1 * ((sqrt h) + (sqrt f)))) / (((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z)))) / (h - z))) / (x - z) is V11() V12() ext-real Element of REAL
K37((((((1 * ((sqrt h) + (sqrt f))) - (1 * ((sqrt x) + (sqrt h)))) / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))) / (x - f)) - ((((1 * ((sqrt f) + (sqrt z))) - (1 * ((sqrt h) + (sqrt f)))) / (((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z)))) / (h - z))),K39((x - z))) is V11() V12() ext-real set
(sqrt f) - (sqrt x) is V11() V12() ext-real Element of REAL
K38((sqrt x)) is V11() V12() ext-real set
K36((sqrt f),K38((sqrt x))) is V11() V12() ext-real set
((sqrt f) - (sqrt x)) / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))) is V11() V12() ext-real Element of REAL
K37(((sqrt f) - (sqrt x)),K39((((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))))) is V11() V12() ext-real set
f - x is V11() V12() ext-real Element of REAL
K38(x) is V11() V12() ext-real set
K36(f,K38(x)) is V11() V12() ext-real set
- (f - x) is V11() V12() ext-real Element of REAL
(((sqrt f) - (sqrt x)) / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))) / (- (f - x)) is V11() V12() ext-real Element of REAL
K39((- (f - x))) is V11() V12() ext-real set
K37((((sqrt f) - (sqrt x)) / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))),K39((- (f - x)))) is V11() V12() ext-real set
(sqrt z) - (sqrt h) is V11() V12() ext-real Element of REAL
K38((sqrt h)) is V11() V12() ext-real set
K36((sqrt z),K38((sqrt h))) is V11() V12() ext-real set
((sqrt z) - (sqrt h)) / (((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z))) is V11() V12() ext-real Element of REAL
K37(((sqrt z) - (sqrt h)),K39((((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z))))) is V11() V12() ext-real set
z - h is V11() V12() ext-real Element of REAL
K36(z,K38(h)) is V11() V12() ext-real set
- (z - h) is V11() V12() ext-real Element of REAL
(((sqrt z) - (sqrt h)) / (((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z)))) / (- (z - h)) is V11() V12() ext-real Element of REAL
K39((- (z - h))) is V11() V12() ext-real set
K37((((sqrt z) - (sqrt h)) / (((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z)))),K39((- (z - h)))) is V11() V12() ext-real set
((((sqrt f) - (sqrt x)) / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))) / (- (f - x))) - ((((sqrt z) - (sqrt h)) / (((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z)))) / (- (z - h))) is V11() V12() ext-real Element of REAL
K38(((((sqrt z) - (sqrt h)) / (((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z)))) / (- (z - h)))) is V11() V12() ext-real set
K36(((((sqrt f) - (sqrt x)) / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))) / (- (f - x))),K38(((((sqrt z) - (sqrt h)) / (((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z)))) / (- (z - h))))) is V11() V12() ext-real set
(((((sqrt f) - (sqrt x)) / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))) / (- (f - x))) - ((((sqrt z) - (sqrt h)) / (((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z)))) / (- (z - h)))) / (x - z) is V11() V12() ext-real Element of REAL
K37((((((sqrt f) - (sqrt x)) / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))) / (- (f - x))) - ((((sqrt z) - (sqrt h)) / (((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z)))) / (- (z - h)))),K39((x - z))) is V11() V12() ext-real set
(((sqrt f) - (sqrt x)) / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))) / (f - x) is V11() V12() ext-real Element of REAL
K39((f - x)) is V11() V12() ext-real set
K37((((sqrt f) - (sqrt x)) / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))),K39((f - x))) is V11() V12() ext-real set
- ((((sqrt f) - (sqrt x)) / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))) / (f - x)) is V11() V12() ext-real Element of REAL
(- ((((sqrt f) - (sqrt x)) / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))) / (f - x))) - ((((sqrt z) - (sqrt h)) / (((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z)))) / (- (z - h))) is V11() V12() ext-real Element of REAL
K36((- ((((sqrt f) - (sqrt x)) / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))) / (f - x))),K38(((((sqrt z) - (sqrt h)) / (((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z)))) / (- (z - h))))) is V11() V12() ext-real set
((- ((((sqrt f) - (sqrt x)) / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))) / (f - x))) - ((((sqrt z) - (sqrt h)) / (((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z)))) / (- (z - h)))) / (x - z) is V11() V12() ext-real Element of REAL
K37(((- ((((sqrt f) - (sqrt x)) / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))) / (f - x))) - ((((sqrt z) - (sqrt h)) / (((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z)))) / (- (z - h)))),K39((x - z))) is V11() V12() ext-real set
1 / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))) is V11() V12() ext-real Element of REAL
K37(1,K39((((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))))) is V11() V12() ext-real set
((sqrt f) - (sqrt x)) / (f - x) is V11() V12() ext-real Element of REAL
K37(((sqrt f) - (sqrt x)),K39((f - x))) is V11() V12() ext-real set
(1 / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))) * (((sqrt f) - (sqrt x)) / (f - x)) is V11() V12() ext-real Element of REAL
- ((1 / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))) * (((sqrt f) - (sqrt x)) / (f - x))) is V11() V12() ext-real Element of REAL
(((sqrt z) - (sqrt h)) / (((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z)))) / (z - h) is V11() V12() ext-real Element of REAL
K39((z - h)) is V11() V12() ext-real set
K37((((sqrt z) - (sqrt h)) / (((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z)))),K39((z - h))) is V11() V12() ext-real set
- ((((sqrt z) - (sqrt h)) / (((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z)))) / (z - h)) is V11() V12() ext-real Element of REAL
(- ((1 / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))) * (((sqrt f) - (sqrt x)) / (f - x)))) - (- ((((sqrt z) - (sqrt h)) / (((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z)))) / (z - h))) is V11() V12() ext-real Element of REAL
K38((- ((((sqrt z) - (sqrt h)) / (((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z)))) / (z - h)))) is V11() V12() ext-real set
K36((- ((1 / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))) * (((sqrt f) - (sqrt x)) / (f - x)))),K38((- ((((sqrt z) - (sqrt h)) / (((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z)))) / (z - h))))) is V11() V12() ext-real set
((- ((1 / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))) * (((sqrt f) - (sqrt x)) / (f - x)))) - (- ((((sqrt z) - (sqrt h)) / (((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z)))) / (z - h)))) / (x - z) is V11() V12() ext-real Element of REAL
K37(((- ((1 / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))) * (((sqrt f) - (sqrt x)) / (f - x)))) - (- ((((sqrt z) - (sqrt h)) / (((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z)))) / (z - h)))),K39((x - z))) is V11() V12() ext-real set
1 / ((sqrt f) + (sqrt x)) is V11() V12() ext-real Element of REAL
K39(((sqrt f) + (sqrt x))) is V11() V12() ext-real set
K37(1,K39(((sqrt f) + (sqrt x)))) is V11() V12() ext-real set
(1 / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))) * (1 / ((sqrt f) + (sqrt x))) is V11() V12() ext-real Element of REAL
- ((1 / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))) * (1 / ((sqrt f) + (sqrt x)))) is V11() V12() ext-real Element of REAL
(- ((1 / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))) * (1 / ((sqrt f) + (sqrt x))))) - (- ((((sqrt z) - (sqrt h)) / (((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z)))) / (z - h))) is V11() V12() ext-real Element of REAL
K36((- ((1 / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))) * (1 / ((sqrt f) + (sqrt x))))),K38((- ((((sqrt z) - (sqrt h)) / (((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z)))) / (z - h))))) is V11() V12() ext-real set
((- ((1 / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))) * (1 / ((sqrt f) + (sqrt x))))) - (- ((((sqrt z) - (sqrt h)) / (((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z)))) / (z - h)))) / (x - z) is V11() V12() ext-real Element of REAL
K37(((- ((1 / (((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f)))) * (1 / ((sqrt f) + (sqrt x))))) - (- ((((sqrt z) - (sqrt h)) / (((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z)))) / (z - h)))),K39((x - z))) is V11() V12() ext-real set
(((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x)) is V11() V12() ext-real Element of REAL
1 / ((((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))) is V11() V12() ext-real Element of REAL
K39(((((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x)))) is V11() V12() ext-real set
K37(1,K39(((((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))))) is V11() V12() ext-real set
- (1 / ((((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x)))) is V11() V12() ext-real Element of REAL
1 / (((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z))) is V11() V12() ext-real Element of REAL
K37(1,K39((((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z))))) is V11() V12() ext-real set
((sqrt z) - (sqrt h)) / (z - h) is V11() V12() ext-real Element of REAL
K37(((sqrt z) - (sqrt h)),K39((z - h))) is V11() V12() ext-real set
(1 / (((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z)))) * (((sqrt z) - (sqrt h)) / (z - h)) is V11() V12() ext-real Element of REAL
(- (1 / ((((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))))) + ((1 / (((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z)))) * (((sqrt z) - (sqrt h)) / (z - h))) is V11() V12() ext-real Element of REAL
((- (1 / ((((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))))) + ((1 / (((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z)))) * (((sqrt z) - (sqrt h)) / (z - h)))) / (x - z) is V11() V12() ext-real Element of REAL
K37(((- (1 / ((((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))))) + ((1 / (((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z)))) * (((sqrt z) - (sqrt h)) / (z - h)))),K39((x - z))) is V11() V12() ext-real set
1 / ((sqrt z) + (sqrt h)) is V11() V12() ext-real Element of REAL
K39(((sqrt z) + (sqrt h))) is V11() V12() ext-real set
K37(1,K39(((sqrt z) + (sqrt h)))) is V11() V12() ext-real set
(1 / (((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z)))) * (1 / ((sqrt z) + (sqrt h))) is V11() V12() ext-real Element of REAL
(- (1 / ((((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))))) + ((1 / (((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z)))) * (1 / ((sqrt z) + (sqrt h)))) is V11() V12() ext-real Element of REAL
((- (1 / ((((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))))) + ((1 / (((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z)))) * (1 / ((sqrt z) + (sqrt h))))) / (x - z) is V11() V12() ext-real Element of REAL
K37(((- (1 / ((((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))))) + ((1 / (((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z)))) * (1 / ((sqrt z) + (sqrt h))))),K39((x - z))) is V11() V12() ext-real set
(((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z))) * ((sqrt z) + (sqrt h)) is V11() V12() ext-real Element of REAL
1 / ((((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z))) * ((sqrt z) + (sqrt h))) is V11() V12() ext-real Element of REAL
K39(((((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z))) * ((sqrt z) + (sqrt h)))) is V11() V12() ext-real set
K37(1,K39(((((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z))) * ((sqrt z) + (sqrt h))))) is V11() V12() ext-real set
(1 / ((((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z))) * ((sqrt z) + (sqrt h)))) - (1 / ((((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x)))) is V11() V12() ext-real Element of REAL
K38((1 / ((((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))))) is V11() V12() ext-real set
K36((1 / ((((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z))) * ((sqrt z) + (sqrt h)))),K38((1 / ((((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x)))))) is V11() V12() ext-real set
((1 / ((((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z))) * ((sqrt z) + (sqrt h)))) - (1 / ((((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))))) / (x - z) is V11() V12() ext-real Element of REAL
K37(((1 / ((((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z))) * ((sqrt z) + (sqrt h)))) - (1 / ((((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))))),K39((x - z))) is V11() V12() ext-real set
1 * ((((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))) is V11() V12() ext-real Element of REAL
1 * ((((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z))) * ((sqrt z) + (sqrt h))) is V11() V12() ext-real Element of REAL
(1 * ((((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x)))) - (1 * ((((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z))) * ((sqrt z) + (sqrt h)))) is V11() V12() ext-real Element of REAL
K38((1 * ((((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z))) * ((sqrt z) + (sqrt h))))) is V11() V12() ext-real set
K36((1 * ((((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x)))),K38((1 * ((((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z))) * ((sqrt z) + (sqrt h)))))) is V11() V12() ext-real set
((((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z))) * ((sqrt z) + (sqrt h))) * ((((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))) is V11() V12() ext-real Element of REAL
((1 * ((((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x)))) - (1 * ((((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z))) * ((sqrt z) + (sqrt h))))) / (((((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z))) * ((sqrt z) + (sqrt h))) * ((((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x)))) is V11() V12() ext-real Element of REAL
K39((((((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z))) * ((sqrt z) + (sqrt h))) * ((((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))))) is V11() V12() ext-real set
K37(((1 * ((((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x)))) - (1 * ((((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z))) * ((sqrt z) + (sqrt h))))),K39((((((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z))) * ((sqrt z) + (sqrt h))) * ((((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x)))))) is V11() V12() ext-real set
(((1 * ((((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x)))) - (1 * ((((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z))) * ((sqrt z) + (sqrt h))))) / (((((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z))) * ((sqrt z) + (sqrt h))) * ((((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))))) / (x - z) is V11() V12() ext-real Element of REAL
K37((((1 * ((((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x)))) - (1 * ((((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z))) * ((sqrt z) + (sqrt h))))) / (((((sqrt h) + (sqrt f)) * ((sqrt f) + (sqrt z))) * ((sqrt z) + (sqrt h))) * ((((sqrt x) + (sqrt h)) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))))),K39((x - z))) is V11() V12() ext-real set
((sqrt x) + (sqrt h)) * ((sqrt f) + (sqrt x)) is V11() V12() ext-real Element of REAL
((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h)) is V11() V12() ext-real Element of REAL
(((sqrt x) + (sqrt h)) * ((sqrt f) + (sqrt x))) - (((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) is V11() V12() ext-real Element of REAL
K38((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h)))) is V11() V12() ext-real set
K36((((sqrt x) + (sqrt h)) * ((sqrt f) + (sqrt x))),K38((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))))) is V11() V12() ext-real set
((((sqrt x) + (sqrt h)) * ((sqrt f) + (sqrt x))) - (((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h)))) * ((sqrt h) + (sqrt f)) is V11() V12() ext-real Element of REAL
(((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h)) is V11() V12() ext-real Element of REAL
((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f)) is V11() V12() ext-real Element of REAL
(((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x)) is V11() V12() ext-real Element of REAL
((((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))) * ((sqrt h) + (sqrt f)) is V11() V12() ext-real Element of REAL
(((((sqrt x) + (sqrt h)) * ((sqrt f) + (sqrt x))) - (((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h)))) * ((sqrt h) + (sqrt f))) / (((((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))) * ((sqrt h) + (sqrt f))) is V11() V12() ext-real Element of REAL
K39((((((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))) * ((sqrt h) + (sqrt f)))) is V11() V12() ext-real set
K37((((((sqrt x) + (sqrt h)) * ((sqrt f) + (sqrt x))) - (((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h)))) * ((sqrt h) + (sqrt f))),K39((((((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))) * ((sqrt h) + (sqrt f))))) is V11() V12() ext-real set
((((((sqrt x) + (sqrt h)) * ((sqrt f) + (sqrt x))) - (((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h)))) * ((sqrt h) + (sqrt f))) / (((((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))) * ((sqrt h) + (sqrt f)))) / (x - z) is V11() V12() ext-real Element of REAL
K37(((((((sqrt x) + (sqrt h)) * ((sqrt f) + (sqrt x))) - (((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h)))) * ((sqrt h) + (sqrt f))) / (((((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))) * ((sqrt h) + (sqrt f)))),K39((x - z))) is V11() V12() ext-real set
(sqrt x) * (sqrt f) is V11() V12() ext-real Element of REAL
(sqrt x) * (sqrt x) is V11() V12() ext-real Element of REAL
((sqrt x) * (sqrt f)) + ((sqrt x) * (sqrt x)) is V11() V12() ext-real Element of REAL
(sqrt h) * (sqrt f) is V11() V12() ext-real Element of REAL
(((sqrt x) * (sqrt f)) + ((sqrt x) * (sqrt x))) + ((sqrt h) * (sqrt f)) is V11() V12() ext-real Element of REAL
(sqrt h) * (sqrt x) is V11() V12() ext-real Element of REAL
((((sqrt x) * (sqrt f)) + ((sqrt x) * (sqrt x))) + ((sqrt h) * (sqrt f))) + ((sqrt h) * (sqrt x)) is V11() V12() ext-real Element of REAL
(sqrt f) * (sqrt z) is V11() V12() ext-real Element of REAL
(sqrt f) * (sqrt h) is V11() V12() ext-real Element of REAL
((sqrt f) * (sqrt z)) + ((sqrt f) * (sqrt h)) is V11() V12() ext-real Element of REAL
(sqrt z) * (sqrt z) is V11() V12() ext-real Element of REAL
(((sqrt f) * (sqrt z)) + ((sqrt f) * (sqrt h))) + ((sqrt z) * (sqrt z)) is V11() V12() ext-real Element of REAL
(sqrt z) * (sqrt h) is V11() V12() ext-real Element of REAL
((((sqrt f) * (sqrt z)) + ((sqrt f) * (sqrt h))) + ((sqrt z) * (sqrt z))) + ((sqrt z) * (sqrt h)) is V11() V12() ext-real Element of REAL
(((((sqrt x) * (sqrt f)) + ((sqrt x) * (sqrt x))) + ((sqrt h) * (sqrt f))) + ((sqrt h) * (sqrt x))) - (((((sqrt f) * (sqrt z)) + ((sqrt f) * (sqrt h))) + ((sqrt z) * (sqrt z))) + ((sqrt z) * (sqrt h))) is V11() V12() ext-real Element of REAL
K38((((((sqrt f) * (sqrt z)) + ((sqrt f) * (sqrt h))) + ((sqrt z) * (sqrt z))) + ((sqrt z) * (sqrt h)))) is V11() V12() ext-real set
K36((((((sqrt x) * (sqrt f)) + ((sqrt x) * (sqrt x))) + ((sqrt h) * (sqrt f))) + ((sqrt h) * (sqrt x))),K38((((((sqrt f) * (sqrt z)) + ((sqrt f) * (sqrt h))) + ((sqrt z) * (sqrt z))) + ((sqrt z) * (sqrt h))))) is V11() V12() ext-real set
((((((sqrt x) * (sqrt f)) + ((sqrt x) * (sqrt x))) + ((sqrt h) * (sqrt f))) + ((sqrt h) * (sqrt x))) - (((((sqrt f) * (sqrt z)) + ((sqrt f) * (sqrt h))) + ((sqrt z) * (sqrt z))) + ((sqrt z) * (sqrt h)))) / ((((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))) is V11() V12() ext-real Element of REAL
K39(((((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x)))) is V11() V12() ext-real set
K37(((((((sqrt x) * (sqrt f)) + ((sqrt x) * (sqrt x))) + ((sqrt h) * (sqrt f))) + ((sqrt h) * (sqrt x))) - (((((sqrt f) * (sqrt z)) + ((sqrt f) * (sqrt h))) + ((sqrt z) * (sqrt z))) + ((sqrt z) * (sqrt h)))),K39(((((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))))) is V11() V12() ext-real set
(((((((sqrt x) * (sqrt f)) + ((sqrt x) * (sqrt x))) + ((sqrt h) * (sqrt f))) + ((sqrt h) * (sqrt x))) - (((((sqrt f) * (sqrt z)) + ((sqrt f) * (sqrt h))) + ((sqrt z) * (sqrt z))) + ((sqrt z) * (sqrt h)))) / ((((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x)))) / (x - z) is V11() V12() ext-real Element of REAL
K37((((((((sqrt x) * (sqrt f)) + ((sqrt x) * (sqrt x))) + ((sqrt h) * (sqrt f))) + ((sqrt h) * (sqrt x))) - (((((sqrt f) * (sqrt z)) + ((sqrt f) * (sqrt h))) + ((sqrt z) * (sqrt z))) + ((sqrt z) * (sqrt h)))) / ((((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x)))),K39((x - z))) is V11() V12() ext-real set
x ^2 is V11() V12() ext-real Element of REAL
K37(x,x) is V11() V12() ext-real set
sqrt (x ^2) is V11() V12() ext-real Element of REAL
((sqrt x) * (sqrt f)) + (sqrt (x ^2)) is V11() V12() ext-real Element of REAL
(((sqrt x) * (sqrt f)) + (sqrt (x ^2))) + ((sqrt h) * (sqrt f)) is V11() V12() ext-real Element of REAL
((((sqrt x) * (sqrt f)) + (sqrt (x ^2))) + ((sqrt h) * (sqrt f))) + ((sqrt h) * (sqrt x)) is V11() V12() ext-real Element of REAL
(((((sqrt x) * (sqrt f)) + (sqrt (x ^2))) + ((sqrt h) * (sqrt f))) + ((sqrt h) * (sqrt x))) - (((((sqrt f) * (sqrt z)) + ((sqrt f) * (sqrt h))) + ((sqrt z) * (sqrt z))) + ((sqrt z) * (sqrt h))) is V11() V12() ext-real Element of REAL
K36((((((sqrt x) * (sqrt f)) + (sqrt (x ^2))) + ((sqrt h) * (sqrt f))) + ((sqrt h) * (sqrt x))),K38((((((sqrt f) * (sqrt z)) + ((sqrt f) * (sqrt h))) + ((sqrt z) * (sqrt z))) + ((sqrt z) * (sqrt h))))) is V11() V12() ext-real set
((((((sqrt x) * (sqrt f)) + (sqrt (x ^2))) + ((sqrt h) * (sqrt f))) + ((sqrt h) * (sqrt x))) - (((((sqrt f) * (sqrt z)) + ((sqrt f) * (sqrt h))) + ((sqrt z) * (sqrt z))) + ((sqrt z) * (sqrt h)))) / ((((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))) is V11() V12() ext-real Element of REAL
K37(((((((sqrt x) * (sqrt f)) + (sqrt (x ^2))) + ((sqrt h) * (sqrt f))) + ((sqrt h) * (sqrt x))) - (((((sqrt f) * (sqrt z)) + ((sqrt f) * (sqrt h))) + ((sqrt z) * (sqrt z))) + ((sqrt z) * (sqrt h)))),K39(((((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))))) is V11() V12() ext-real set
(((((((sqrt x) * (sqrt f)) + (sqrt (x ^2))) + ((sqrt h) * (sqrt f))) + ((sqrt h) * (sqrt x))) - (((((sqrt f) * (sqrt z)) + ((sqrt f) * (sqrt h))) + ((sqrt z) * (sqrt z))) + ((sqrt z) * (sqrt h)))) / ((((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x)))) / (x - z) is V11() V12() ext-real Element of REAL
K37((((((((sqrt x) * (sqrt f)) + (sqrt (x ^2))) + ((sqrt h) * (sqrt f))) + ((sqrt h) * (sqrt x))) - (((((sqrt f) * (sqrt z)) + ((sqrt f) * (sqrt h))) + ((sqrt z) * (sqrt z))) + ((sqrt z) * (sqrt h)))) / ((((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x)))),K39((x - z))) is V11() V12() ext-real set
((sqrt x) * (sqrt f)) + x is V11() V12() ext-real Element of REAL
(((sqrt x) * (sqrt f)) + x) + ((sqrt h) * (sqrt f)) is V11() V12() ext-real Element of REAL
((((sqrt x) * (sqrt f)) + x) + ((sqrt h) * (sqrt f))) + ((sqrt h) * (sqrt x)) is V11() V12() ext-real Element of REAL
(((((sqrt x) * (sqrt f)) + x) + ((sqrt h) * (sqrt f))) + ((sqrt h) * (sqrt x))) - (((((sqrt f) * (sqrt z)) + ((sqrt f) * (sqrt h))) + ((sqrt z) * (sqrt z))) + ((sqrt z) * (sqrt h))) is V11() V12() ext-real Element of REAL
K36((((((sqrt x) * (sqrt f)) + x) + ((sqrt h) * (sqrt f))) + ((sqrt h) * (sqrt x))),K38((((((sqrt f) * (sqrt z)) + ((sqrt f) * (sqrt h))) + ((sqrt z) * (sqrt z))) + ((sqrt z) * (sqrt h))))) is V11() V12() ext-real set
((((((sqrt x) * (sqrt f)) + x) + ((sqrt h) * (sqrt f))) + ((sqrt h) * (sqrt x))) - (((((sqrt f) * (sqrt z)) + ((sqrt f) * (sqrt h))) + ((sqrt z) * (sqrt z))) + ((sqrt z) * (sqrt h)))) / ((((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))) is V11() V12() ext-real Element of REAL
K37(((((((sqrt x) * (sqrt f)) + x) + ((sqrt h) * (sqrt f))) + ((sqrt h) * (sqrt x))) - (((((sqrt f) * (sqrt z)) + ((sqrt f) * (sqrt h))) + ((sqrt z) * (sqrt z))) + ((sqrt z) * (sqrt h)))),K39(((((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))))) is V11() V12() ext-real set
(((((((sqrt x) * (sqrt f)) + x) + ((sqrt h) * (sqrt f))) + ((sqrt h) * (sqrt x))) - (((((sqrt f) * (sqrt z)) + ((sqrt f) * (sqrt h))) + ((sqrt z) * (sqrt z))) + ((sqrt z) * (sqrt h)))) / ((((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x)))) / (x - z) is V11() V12() ext-real Element of REAL
K37((((((((sqrt x) * (sqrt f)) + x) + ((sqrt h) * (sqrt f))) + ((sqrt h) * (sqrt x))) - (((((sqrt f) * (sqrt z)) + ((sqrt f) * (sqrt h))) + ((sqrt z) * (sqrt z))) + ((sqrt z) * (sqrt h)))) / ((((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x)))),K39((x - z))) is V11() V12() ext-real set
z ^2 is V11() V12() ext-real Element of REAL
K37(z,z) is V11() V12() ext-real set
sqrt (z ^2) is V11() V12() ext-real Element of REAL
(((sqrt f) * (sqrt z)) + ((sqrt f) * (sqrt h))) + (sqrt (z ^2)) is V11() V12() ext-real Element of REAL
((((sqrt f) * (sqrt z)) + ((sqrt f) * (sqrt h))) + (sqrt (z ^2))) + ((sqrt z) * (sqrt h)) is V11() V12() ext-real Element of REAL
(((((sqrt x) * (sqrt f)) + x) + ((sqrt h) * (sqrt f))) + ((sqrt h) * (sqrt x))) - (((((sqrt f) * (sqrt z)) + ((sqrt f) * (sqrt h))) + (sqrt (z ^2))) + ((sqrt z) * (sqrt h))) is V11() V12() ext-real Element of REAL
K38((((((sqrt f) * (sqrt z)) + ((sqrt f) * (sqrt h))) + (sqrt (z ^2))) + ((sqrt z) * (sqrt h)))) is V11() V12() ext-real set
K36((((((sqrt x) * (sqrt f)) + x) + ((sqrt h) * (sqrt f))) + ((sqrt h) * (sqrt x))),K38((((((sqrt f) * (sqrt z)) + ((sqrt f) * (sqrt h))) + (sqrt (z ^2))) + ((sqrt z) * (sqrt h))))) is V11() V12() ext-real set
((((((sqrt x) * (sqrt f)) + x) + ((sqrt h) * (sqrt f))) + ((sqrt h) * (sqrt x))) - (((((sqrt f) * (sqrt z)) + ((sqrt f) * (sqrt h))) + (sqrt (z ^2))) + ((sqrt z) * (sqrt h)))) / ((((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))) is V11() V12() ext-real Element of REAL
K37(((((((sqrt x) * (sqrt f)) + x) + ((sqrt h) * (sqrt f))) + ((sqrt h) * (sqrt x))) - (((((sqrt f) * (sqrt z)) + ((sqrt f) * (sqrt h))) + (sqrt (z ^2))) + ((sqrt z) * (sqrt h)))),K39(((((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))))) is V11() V12() ext-real set
(((((((sqrt x) * (sqrt f)) + x) + ((sqrt h) * (sqrt f))) + ((sqrt h) * (sqrt x))) - (((((sqrt f) * (sqrt z)) + ((sqrt f) * (sqrt h))) + (sqrt (z ^2))) + ((sqrt z) * (sqrt h)))) / ((((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x)))) / (x - z) is V11() V12() ext-real Element of REAL
K37((((((((sqrt x) * (sqrt f)) + x) + ((sqrt h) * (sqrt f))) + ((sqrt h) * (sqrt x))) - (((((sqrt f) * (sqrt z)) + ((sqrt f) * (sqrt h))) + (sqrt (z ^2))) + ((sqrt z) * (sqrt h)))) / ((((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x)))),K39((x - z))) is V11() V12() ext-real set
(((sqrt f) * (sqrt z)) + ((sqrt f) * (sqrt h))) + z is V11() V12() ext-real Element of REAL
((((sqrt f) * (sqrt z)) + ((sqrt f) * (sqrt h))) + z) + ((sqrt z) * (sqrt h)) is V11() V12() ext-real Element of REAL
(((((sqrt x) * (sqrt f)) + x) + ((sqrt h) * (sqrt f))) + ((sqrt h) * (sqrt x))) - (((((sqrt f) * (sqrt z)) + ((sqrt f) * (sqrt h))) + z) + ((sqrt z) * (sqrt h))) is V11() V12() ext-real Element of REAL
K38((((((sqrt f) * (sqrt z)) + ((sqrt f) * (sqrt h))) + z) + ((sqrt z) * (sqrt h)))) is V11() V12() ext-real set
K36((((((sqrt x) * (sqrt f)) + x) + ((sqrt h) * (sqrt f))) + ((sqrt h) * (sqrt x))),K38((((((sqrt f) * (sqrt z)) + ((sqrt f) * (sqrt h))) + z) + ((sqrt z) * (sqrt h))))) is V11() V12() ext-real set
((((((sqrt x) * (sqrt f)) + x) + ((sqrt h) * (sqrt f))) + ((sqrt h) * (sqrt x))) - (((((sqrt f) * (sqrt z)) + ((sqrt f) * (sqrt h))) + z) + ((sqrt z) * (sqrt h)))) / ((((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))) is V11() V12() ext-real Element of REAL
K37(((((((sqrt x) * (sqrt f)) + x) + ((sqrt h) * (sqrt f))) + ((sqrt h) * (sqrt x))) - (((((sqrt f) * (sqrt z)) + ((sqrt f) * (sqrt h))) + z) + ((sqrt z) * (sqrt h)))),K39(((((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))))) is V11() V12() ext-real set
(((((((sqrt x) * (sqrt f)) + x) + ((sqrt h) * (sqrt f))) + ((sqrt h) * (sqrt x))) - (((((sqrt f) * (sqrt z)) + ((sqrt f) * (sqrt h))) + z) + ((sqrt z) * (sqrt h)))) / ((((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x)))) / (x - z) is V11() V12() ext-real Element of REAL
K37((((((((sqrt x) * (sqrt f)) + x) + ((sqrt h) * (sqrt f))) + ((sqrt h) * (sqrt x))) - (((((sqrt f) * (sqrt z)) + ((sqrt f) * (sqrt h))) + z) + ((sqrt z) * (sqrt h)))) / ((((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x)))),K39((x - z))) is V11() V12() ext-real set
(sqrt f) + (sqrt h) is V11() V12() ext-real Element of REAL
(sqrt x) - (sqrt z) is V11() V12() ext-real Element of REAL
K36((sqrt x),K38((sqrt z))) is V11() V12() ext-real set
((sqrt f) + (sqrt h)) * ((sqrt x) - (sqrt z)) is V11() V12() ext-real Element of REAL
(((sqrt f) + (sqrt h)) * ((sqrt x) - (sqrt z))) + (x - z) is V11() V12() ext-real Element of REAL
((((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))) * (x - z) is V11() V12() ext-real Element of REAL
((((sqrt f) + (sqrt h)) * ((sqrt x) - (sqrt z))) + (x - z)) / (((((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))) * (x - z)) is V11() V12() ext-real Element of REAL
K39((((((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))) * (x - z))) is V11() V12() ext-real set
K37(((((sqrt f) + (sqrt h)) * ((sqrt x) - (sqrt z))) + (x - z)),K39((((((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))) * (x - z)))) is V11() V12() ext-real set
((sqrt x) - (sqrt z)) * ((sqrt f) + (sqrt h)) is V11() V12() ext-real Element of REAL
((sqrt x) - (sqrt z)) * ((sqrt x) + (sqrt z)) is V11() V12() ext-real Element of REAL
(((sqrt x) - (sqrt z)) * ((sqrt f) + (sqrt h))) + (((sqrt x) - (sqrt z)) * ((sqrt x) + (sqrt z))) is V11() V12() ext-real Element of REAL
((((sqrt x) - (sqrt z)) * ((sqrt f) + (sqrt h))) + (((sqrt x) - (sqrt z)) * ((sqrt x) + (sqrt z)))) / (((((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))) * (x - z)) is V11() V12() ext-real Element of REAL
K37(((((sqrt x) - (sqrt z)) * ((sqrt f) + (sqrt h))) + (((sqrt x) - (sqrt z)) * ((sqrt x) + (sqrt z)))),K39((((((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))) * (x - z)))) is V11() V12() ext-real set
((sqrt f) + (sqrt h)) + (sqrt x) is V11() V12() ext-real Element of REAL
(((sqrt f) + (sqrt h)) + (sqrt x)) + (sqrt z) is V11() V12() ext-real Element of REAL
((sqrt x) - (sqrt z)) * ((((sqrt f) + (sqrt h)) + (sqrt x)) + (sqrt z)) is V11() V12() ext-real Element of REAL
(((sqrt x) - (sqrt z)) * ((((sqrt f) + (sqrt h)) + (sqrt x)) + (sqrt z))) / (((((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))) * (x - z)) is V11() V12() ext-real Element of REAL
K37((((sqrt x) - (sqrt z)) * ((((sqrt f) + (sqrt h)) + (sqrt x)) + (sqrt z))),K39((((((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))) * (x - z)))) is V11() V12() ext-real set
((sqrt x) - (sqrt z)) / (x - z) is V11() V12() ext-real Element of REAL
K37(((sqrt x) - (sqrt z)),K39((x - z))) is V11() V12() ext-real set
((((sqrt f) + (sqrt h)) + (sqrt x)) + (sqrt z)) / ((((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))) is V11() V12() ext-real Element of REAL
K37(((((sqrt f) + (sqrt h)) + (sqrt x)) + (sqrt z)),K39(((((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))))) is V11() V12() ext-real set
(((sqrt x) - (sqrt z)) / (x - z)) * (((((sqrt f) + (sqrt h)) + (sqrt x)) + (sqrt z)) / ((((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x)))) is V11() V12() ext-real Element of REAL
1 / ((sqrt x) + (sqrt z)) is V11() V12() ext-real Element of REAL
K39(((sqrt x) + (sqrt z))) is V11() V12() ext-real set
K37(1,K39(((sqrt x) + (sqrt z)))) is V11() V12() ext-real set
(1 / ((sqrt x) + (sqrt z))) * (((((sqrt f) + (sqrt h)) + (sqrt x)) + (sqrt z)) / ((((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x)))) is V11() V12() ext-real Element of REAL
((((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))) * ((sqrt x) + (sqrt z)) is V11() V12() ext-real Element of REAL
((((sqrt f) + (sqrt h)) + (sqrt x)) + (sqrt z)) / (((((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))) * ((sqrt x) + (sqrt z))) is V11() V12() ext-real Element of REAL
K39((((((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))) * ((sqrt x) + (sqrt z)))) is V11() V12() ext-real set
K37(((((sqrt f) + (sqrt h)) + (sqrt x)) + (sqrt z)),K39((((((((sqrt f) + (sqrt z)) * ((sqrt z) + (sqrt h))) * ((sqrt x) + (sqrt h))) * ((sqrt h) + (sqrt f))) * ((sqrt f) + (sqrt x))) * ((sqrt x) + (sqrt z))))) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
sqrt x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
x + h is V11() V12() ext-real Element of REAL
sqrt (x + h) is V11() V12() ext-real Element of REAL
(sqrt (x + h)) - (sqrt x) is V11() V12() ext-real Element of REAL
K38((sqrt x)) is V11() V12() ext-real set
K36((sqrt (x + h)),K38((sqrt x))) is V11() V12() ext-real set
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
fD (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (f,h)) - f is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(fD (f,h)) . x is V11() V12() ext-real Element of REAL
f . (x + h) is V11() V12() ext-real Element of REAL
f . x is V11() V12() ext-real Element of REAL
(f . (x + h)) - (f . x) is V11() V12() ext-real Element of REAL
K38((f . x)) is V11() V12() ext-real set
K36((f . (x + h)),K38((f . x))) is V11() V12() ext-real set
(sqrt (x + h)) - (f . x) is V11() V12() ext-real Element of REAL
K36((sqrt (x + h)),K38((f . x))) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
sqrt x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
x - h is V11() V12() ext-real Element of REAL
K38(h) is V11() V12() ext-real set
K36(x,K38(h)) is V11() V12() ext-real set
sqrt (x - h) is V11() V12() ext-real Element of REAL
(sqrt x) - (sqrt (x - h)) is V11() V12() ext-real Element of REAL
K38((sqrt (x - h))) is V11() V12() ext-real set
K36((sqrt x),K38((sqrt (x - h)))) is V11() V12() ext-real set
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
bD (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (f,K38(h)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
f - (Shift (f,K38(h))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(bD (f,h)) . x is V11() V12() ext-real Element of REAL
f . x is V11() V12() ext-real Element of REAL
f . (x - h) is V11() V12() ext-real Element of REAL
(f . x) - (f . (x - h)) is V11() V12() ext-real Element of REAL
K38((f . (x - h))) is V11() V12() ext-real set
K36((f . x),K38((f . (x - h)))) is V11() V12() ext-real set
(sqrt x) - (f . (x - h)) is V11() V12() ext-real Element of REAL
K36((sqrt x),K38((f . (x - h)))) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
h / 2 is V11() V12() ext-real Element of REAL
K37(h,K39(2)) is V11() V12() ext-real set
x + (h / 2) is V11() V12() ext-real Element of REAL
x - (h / 2) is V11() V12() ext-real Element of REAL
K38((h / 2)) is V11() V12() ext-real set
K36(x,K38((h / 2))) is V11() V12() ext-real set
sqrt (x + (h / 2)) is V11() V12() ext-real Element of REAL
sqrt (x - (h / 2)) is V11() V12() ext-real Element of REAL
(sqrt (x + (h / 2))) - (sqrt (x - (h / 2))) is V11() V12() ext-real Element of REAL
K38((sqrt (x - (h / 2)))) is V11() V12() ext-real set
K36((sqrt (x + (h / 2))),K38((sqrt (x - (h / 2))))) is V11() V12() ext-real set
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
cD (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
h / 2 is V11() V12() ext-real Element of REAL
Shift (f,(h / 2)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
- (h / 2) is V11() V12() ext-real Element of REAL
Shift (f,(- (h / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (f,(h / 2))) - (Shift (f,(- (h / 2)))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(cD (f,h)) . x is V11() V12() ext-real Element of REAL
f . (x + (h / 2)) is V11() V12() ext-real Element of REAL
f . (x - (h / 2)) is V11() V12() ext-real Element of REAL
(f . (x + (h / 2))) - (f . (x - (h / 2))) is V11() V12() ext-real Element of REAL
K38((f . (x - (h / 2)))) is V11() V12() ext-real set
K36((f . (x + (h / 2))),K38((f . (x - (h / 2))))) is V11() V12() ext-real set
(sqrt (x + (h / 2))) - (f . (x - (h / 2))) is V11() V12() ext-real Element of REAL
K36((sqrt (x + (h / 2))),K38((f . (x - (h / 2))))) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
x + h is V11() V12() ext-real Element of REAL
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
[!f,x,h!] is V11() V12() ext-real Element of REAL
f . x is V11() V12() ext-real Element of REAL
f . h is V11() V12() ext-real Element of REAL
(f . x) - (f . h) is V11() V12() ext-real Element of REAL
K38((f . h)) is V11() V12() ext-real set
K36((f . x),K38((f . h))) is V11() V12() ext-real set
K40(x,h) is V11() V12() ext-real set
K38(h) is V11() V12() ext-real set
K36(x,K38(h)) is V11() V12() ext-real set
((f . x) - (f . h)) / K40(x,h) is V11() V12() ext-real Element of REAL
K39(K40(x,h)) is V11() V12() ext-real set
K37(((f . x) - (f . h)),K39(K40(x,h))) is V11() V12() ext-real set
x - h is V11() V12() ext-real Element of REAL
x ^2 is V11() V12() ext-real Element of REAL
K37(x,x) is V11() V12() ext-real set
f . h is V11() V12() ext-real Element of REAL
(x ^2) - (f . h) is V11() V12() ext-real Element of REAL
K38((f . h)) is V11() V12() ext-real set
K36((x ^2),K38((f . h))) is V11() V12() ext-real set
((x ^2) - (f . h)) / (x - h) is V11() V12() ext-real Element of REAL
K39((x - h)) is V11() V12() ext-real set
K37(((x ^2) - (f . h)),K39((x - h))) is V11() V12() ext-real set
h ^2 is V11() V12() ext-real Element of REAL
K37(h,h) is V11() V12() ext-real set
(x ^2) - (h ^2) is V11() V12() ext-real Element of REAL
K38((h ^2)) is V11() V12() ext-real set
K36((x ^2),K38((h ^2))) is V11() V12() ext-real set
((x ^2) - (h ^2)) / (x - h) is V11() V12() ext-real Element of REAL
K37(((x ^2) - (h ^2)),K39((x - h))) is V11() V12() ext-real set
(x - h) * (x + h) is V11() V12() ext-real Element of REAL
((x - h) * (x + h)) / (x - h) is V11() V12() ext-real Element of REAL
K37(((x - h) * (x + h)),K39((x - h))) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
f is V11() V12() ext-real Element of REAL
z is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
[!z,x,h,f!] is V11() V12() ext-real Element of REAL
[!z,x,h!] is V11() V12() ext-real Element of REAL
z . x is V11() V12() ext-real Element of REAL
z . h is V11() V12() ext-real Element of REAL
(z . x) - (z . h) is V11() V12() ext-real Element of REAL
K38((z . h)) is V11() V12() ext-real set
K36((z . x),K38((z . h))) is V11() V12() ext-real set
K40(x,h) is V11() V12() ext-real set
K38(h) is V11() V12() ext-real set
K36(x,K38(h)) is V11() V12() ext-real set
((z . x) - (z . h)) / K40(x,h) is V11() V12() ext-real Element of REAL
K39(K40(x,h)) is V11() V12() ext-real set
K37(((z . x) - (z . h)),K39(K40(x,h))) is V11() V12() ext-real set
[!z,h,f!] is V11() V12() ext-real Element of REAL
z . f is V11() V12() ext-real Element of REAL
(z . h) - (z . f) is V11() V12() ext-real Element of REAL
K38((z . f)) is V11() V12() ext-real set
K36((z . h),K38((z . f))) is V11() V12() ext-real set
K40(h,f) is V11() V12() ext-real set
K38(f) is V11() V12() ext-real set
K36(h,K38(f)) is V11() V12() ext-real set
((z . h) - (z . f)) / K40(h,f) is V11() V12() ext-real Element of REAL
K39(K40(h,f)) is V11() V12() ext-real set
K37(((z . h) - (z . f)),K39(K40(h,f))) is V11() V12() ext-real set
[!z,x,h!] - [!z,h,f!] is V11() V12() ext-real Element of REAL
K38([!z,h,f!]) is V11() V12() ext-real set
K36([!z,x,h!],K38([!z,h,f!])) is V11() V12() ext-real set
K40(x,f) is V11() V12() ext-real set
K36(x,K38(f)) is V11() V12() ext-real set
([!z,x,h!] - [!z,h,f!]) / K40(x,f) is V11() V12() ext-real Element of REAL
K39(K40(x,f)) is V11() V12() ext-real set
K37(([!z,x,h!] - [!z,h,f!]),K39(K40(x,f))) is V11() V12() ext-real set
z . x is V11() V12() ext-real Element of REAL
x ^2 is V11() V12() ext-real Element of REAL
K37(x,x) is V11() V12() ext-real set
z . h is V11() V12() ext-real Element of REAL
h ^2 is V11() V12() ext-real Element of REAL
K37(h,h) is V11() V12() ext-real set
z . f is V11() V12() ext-real Element of REAL
f ^2 is V11() V12() ext-real Element of REAL
K37(f,f) is V11() V12() ext-real set
x - h is V11() V12() ext-real Element of REAL
h - f is V11() V12() ext-real Element of REAL
x - f is V11() V12() ext-real Element of REAL
x + h is V11() V12() ext-real Element of REAL
(x - h) * (x + h) is V11() V12() ext-real Element of REAL
((x - h) * (x + h)) / (x - h) is V11() V12() ext-real Element of REAL
K39((x - h)) is V11() V12() ext-real set
K37(((x - h) * (x + h)),K39((x - h))) is V11() V12() ext-real set
h + f is V11() V12() ext-real Element of REAL
(h - f) * (h + f) is V11() V12() ext-real Element of REAL
((h - f) * (h + f)) / (h - f) is V11() V12() ext-real Element of REAL
K39((h - f)) is V11() V12() ext-real set
K37(((h - f) * (h + f)),K39((h - f))) is V11() V12() ext-real set
(((x - h) * (x + h)) / (x - h)) - (((h - f) * (h + f)) / (h - f)) is V11() V12() ext-real Element of REAL
K38((((h - f) * (h + f)) / (h - f))) is V11() V12() ext-real set
K36((((x - h) * (x + h)) / (x - h)),K38((((h - f) * (h + f)) / (h - f)))) is V11() V12() ext-real set
((((x - h) * (x + h)) / (x - h)) - (((h - f) * (h + f)) / (h - f))) / (x - f) is V11() V12() ext-real Element of REAL
K39((x - f)) is V11() V12() ext-real set
K37(((((x - h) * (x + h)) / (x - h)) - (((h - f) * (h + f)) / (h - f))),K39((x - f))) is V11() V12() ext-real set
(x + h) - (((h - f) * (h + f)) / (h - f)) is V11() V12() ext-real Element of REAL
K36((x + h),K38((((h - f) * (h + f)) / (h - f)))) is V11() V12() ext-real set
((x + h) - (((h - f) * (h + f)) / (h - f))) / (x - f) is V11() V12() ext-real Element of REAL
K37(((x + h) - (((h - f) * (h + f)) / (h - f))),K39((x - f))) is V11() V12() ext-real set
(x + h) - (h + f) is V11() V12() ext-real Element of REAL
K38((h + f)) is V11() V12() ext-real set
K36((x + h),K38((h + f))) is V11() V12() ext-real set
((x + h) - (h + f)) / (x - f) is V11() V12() ext-real Element of REAL
K37(((x + h) - (h + f)),K39((x - f))) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
f is V11() V12() ext-real Element of REAL
z is V11() V12() ext-real Element of REAL
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
[!f,x,h,f,z!] is V11() V12() ext-real Element of REAL
[!f,x,h,f!] is V11() V12() ext-real Element of REAL
[!f,x,h!] is V11() V12() ext-real Element of REAL
f . x is V11() V12() ext-real Element of REAL
f . h is V11() V12() ext-real Element of REAL
(f . x) - (f . h) is V11() V12() ext-real Element of REAL
K38((f . h)) is V11() V12() ext-real set
K36((f . x),K38((f . h))) is V11() V12() ext-real set
K40(x,h) is V11() V12() ext-real set
K38(h) is V11() V12() ext-real set
K36(x,K38(h)) is V11() V12() ext-real set
((f . x) - (f . h)) / K40(x,h) is V11() V12() ext-real Element of REAL
K39(K40(x,h)) is V11() V12() ext-real set
K37(((f . x) - (f . h)),K39(K40(x,h))) is V11() V12() ext-real set
[!f,h,f!] is V11() V12() ext-real Element of REAL
f . f is V11() V12() ext-real Element of REAL
(f . h) - (f . f) is V11() V12() ext-real Element of REAL
K38((f . f)) is V11() V12() ext-real set
K36((f . h),K38((f . f))) is V11() V12() ext-real set
K40(h,f) is V11() V12() ext-real set
K38(f) is V11() V12() ext-real set
K36(h,K38(f)) is V11() V12() ext-real set
((f . h) - (f . f)) / K40(h,f) is V11() V12() ext-real Element of REAL
K39(K40(h,f)) is V11() V12() ext-real set
K37(((f . h) - (f . f)),K39(K40(h,f))) is V11() V12() ext-real set
[!f,x,h!] - [!f,h,f!] is V11() V12() ext-real Element of REAL
K38([!f,h,f!]) is V11() V12() ext-real set
K36([!f,x,h!],K38([!f,h,f!])) is V11() V12() ext-real set
K40(x,f) is V11() V12() ext-real set
K36(x,K38(f)) is V11() V12() ext-real set
([!f,x,h!] - [!f,h,f!]) / K40(x,f) is V11() V12() ext-real Element of REAL
K39(K40(x,f)) is V11() V12() ext-real set
K37(([!f,x,h!] - [!f,h,f!]),K39(K40(x,f))) is V11() V12() ext-real set
[!f,h,f,z!] is V11() V12() ext-real Element of REAL
[!f,f,z!] is V11() V12() ext-real Element of REAL
f . z is V11() V12() ext-real Element of REAL
(f . f) - (f . z) is V11() V12() ext-real Element of REAL
K38((f . z)) is V11() V12() ext-real set
K36((f . f),K38((f . z))) is V11() V12() ext-real set
K40(f,z) is V11() V12() ext-real set
K38(z) is V11() V12() ext-real set
K36(f,K38(z)) is V11() V12() ext-real set
((f . f) - (f . z)) / K40(f,z) is V11() V12() ext-real Element of REAL
K39(K40(f,z)) is V11() V12() ext-real set
K37(((f . f) - (f . z)),K39(K40(f,z))) is V11() V12() ext-real set
[!f,h,f!] - [!f,f,z!] is V11() V12() ext-real Element of REAL
K38([!f,f,z!]) is V11() V12() ext-real set
K36([!f,h,f!],K38([!f,f,z!])) is V11() V12() ext-real set
K40(h,z) is V11() V12() ext-real set
K36(h,K38(z)) is V11() V12() ext-real set
([!f,h,f!] - [!f,f,z!]) / K40(h,z) is V11() V12() ext-real Element of REAL
K39(K40(h,z)) is V11() V12() ext-real set
K37(([!f,h,f!] - [!f,f,z!]),K39(K40(h,z))) is V11() V12() ext-real set
[!f,x,h,f!] - [!f,h,f,z!] is V11() V12() ext-real Element of REAL
K38([!f,h,f,z!]) is V11() V12() ext-real set
K36([!f,x,h,f!],K38([!f,h,f,z!])) is V11() V12() ext-real set
K40(x,z) is V11() V12() ext-real set
K36(x,K38(z)) is V11() V12() ext-real set
([!f,x,h,f!] - [!f,h,f,z!]) / K40(x,z) is V11() V12() ext-real Element of REAL
K39(K40(x,z)) is V11() V12() ext-real set
K37(([!f,x,h,f!] - [!f,h,f,z!]),K39(K40(x,z))) is V11() V12() ext-real set
f . x is V11() V12() ext-real Element of REAL
x ^2 is V11() V12() ext-real Element of REAL
K37(x,x) is V11() V12() ext-real set
f . h is V11() V12() ext-real Element of REAL
h ^2 is V11() V12() ext-real Element of REAL
K37(h,h) is V11() V12() ext-real set
f . f is V11() V12() ext-real Element of REAL
f ^2 is V11() V12() ext-real Element of REAL
K37(f,f) is V11() V12() ext-real set
f . z is V11() V12() ext-real Element of REAL
z ^2 is V11() V12() ext-real Element of REAL
K37(z,z) is V11() V12() ext-real set
x - h is V11() V12() ext-real Element of REAL
h - f is V11() V12() ext-real Element of REAL
f - z is V11() V12() ext-real Element of REAL
x - f is V11() V12() ext-real Element of REAL
h - z is V11() V12() ext-real Element of REAL
x - z is V11() V12() ext-real Element of REAL
x + h is V11() V12() ext-real Element of REAL
(x - h) * (x + h) is V11() V12() ext-real Element of REAL
((x - h) * (x + h)) / (x - h) is V11() V12() ext-real Element of REAL
K39((x - h)) is V11() V12() ext-real set
K37(((x - h) * (x + h)),K39((x - h))) is V11() V12() ext-real set
h + f is V11() V12() ext-real Element of REAL
(h - f) * (h + f) is V11() V12() ext-real Element of REAL
((h - f) * (h + f)) / (h - f) is V11() V12() ext-real Element of REAL
K39((h - f)) is V11() V12() ext-real set
K37(((h - f) * (h + f)),K39((h - f))) is V11() V12() ext-real set
(((x - h) * (x + h)) / (x - h)) - (((h - f) * (h + f)) / (h - f)) is V11() V12() ext-real Element of REAL
K38((((h - f) * (h + f)) / (h - f))) is V11() V12() ext-real set
K36((((x - h) * (x + h)) / (x - h)),K38((((h - f) * (h + f)) / (h - f)))) is V11() V12() ext-real set
((((x - h) * (x + h)) / (x - h)) - (((h - f) * (h + f)) / (h - f))) / (x - f) is V11() V12() ext-real Element of REAL
K39((x - f)) is V11() V12() ext-real set
K37(((((x - h) * (x + h)) / (x - h)) - (((h - f) * (h + f)) / (h - f))),K39((x - f))) is V11() V12() ext-real set
f + z is V11() V12() ext-real Element of REAL
(f - z) * (f + z) is V11() V12() ext-real Element of REAL
((f - z) * (f + z)) / (f - z) is V11() V12() ext-real Element of REAL
K39((f - z)) is V11() V12() ext-real set
K37(((f - z) * (f + z)),K39((f - z))) is V11() V12() ext-real set
(((h - f) * (h + f)) / (h - f)) - (((f - z) * (f + z)) / (f - z)) is V11() V12() ext-real Element of REAL
K38((((f - z) * (f + z)) / (f - z))) is V11() V12() ext-real set
K36((((h - f) * (h + f)) / (h - f)),K38((((f - z) * (f + z)) / (f - z)))) is V11() V12() ext-real set
((((h - f) * (h + f)) / (h - f)) - (((f - z) * (f + z)) / (f - z))) / (h - z) is V11() V12() ext-real Element of REAL
K39((h - z)) is V11() V12() ext-real set
K37(((((h - f) * (h + f)) / (h - f)) - (((f - z) * (f + z)) / (f - z))),K39((h - z))) is V11() V12() ext-real set
(((((x - h) * (x + h)) / (x - h)) - (((h - f) * (h + f)) / (h - f))) / (x - f)) - (((((h - f) * (h + f)) / (h - f)) - (((f - z) * (f + z)) / (f - z))) / (h - z)) is V11() V12() ext-real Element of REAL
K38((((((h - f) * (h + f)) / (h - f)) - (((f - z) * (f + z)) / (f - z))) / (h - z))) is V11() V12() ext-real set
K36((((((x - h) * (x + h)) / (x - h)) - (((h - f) * (h + f)) / (h - f))) / (x - f)),K38((((((h - f) * (h + f)) / (h - f)) - (((f - z) * (f + z)) / (f - z))) / (h - z)))) is V11() V12() ext-real set
((((((x - h) * (x + h)) / (x - h)) - (((h - f) * (h + f)) / (h - f))) / (x - f)) - (((((h - f) * (h + f)) / (h - f)) - (((f - z) * (f + z)) / (f - z))) / (h - z))) / (x - z) is V11() V12() ext-real Element of REAL
K39((x - z)) is V11() V12() ext-real set
K37(((((((x - h) * (x + h)) / (x - h)) - (((h - f) * (h + f)) / (h - f))) / (x - f)) - (((((h - f) * (h + f)) / (h - f)) - (((f - z) * (f + z)) / (f - z))) / (h - z))),K39((x - z))) is V11() V12() ext-real set
(x + h) - (((h - f) * (h + f)) / (h - f)) is V11() V12() ext-real Element of REAL
K36((x + h),K38((((h - f) * (h + f)) / (h - f)))) is V11() V12() ext-real set
((x + h) - (((h - f) * (h + f)) / (h - f))) / (x - f) is V11() V12() ext-real Element of REAL
K37(((x + h) - (((h - f) * (h + f)) / (h - f))),K39((x - f))) is V11() V12() ext-real set
(((x + h) - (((h - f) * (h + f)) / (h - f))) / (x - f)) - (((((h - f) * (h + f)) / (h - f)) - (((f - z) * (f + z)) / (f - z))) / (h - z)) is V11() V12() ext-real Element of REAL
K36((((x + h) - (((h - f) * (h + f)) / (h - f))) / (x - f)),K38((((((h - f) * (h + f)) / (h - f)) - (((f - z) * (f + z)) / (f - z))) / (h - z)))) is V11() V12() ext-real set
((((x + h) - (((h - f) * (h + f)) / (h - f))) / (x - f)) - (((((h - f) * (h + f)) / (h - f)) - (((f - z) * (f + z)) / (f - z))) / (h - z))) / (x - z) is V11() V12() ext-real Element of REAL
K37(((((x + h) - (((h - f) * (h + f)) / (h - f))) / (x - f)) - (((((h - f) * (h + f)) / (h - f)) - (((f - z) * (f + z)) / (f - z))) / (h - z))),K39((x - z))) is V11() V12() ext-real set
(x + h) - (h + f) is V11() V12() ext-real Element of REAL
K38((h + f)) is V11() V12() ext-real set
K36((x + h),K38((h + f))) is V11() V12() ext-real set
((x + h) - (h + f)) / (x - f) is V11() V12() ext-real Element of REAL
K37(((x + h) - (h + f)),K39((x - f))) is V11() V12() ext-real set
(((x + h) - (h + f)) / (x - f)) - (((((h - f) * (h + f)) / (h - f)) - (((f - z) * (f + z)) / (f - z))) / (h - z)) is V11() V12() ext-real Element of REAL
K36((((x + h) - (h + f)) / (x - f)),K38((((((h - f) * (h + f)) / (h - f)) - (((f - z) * (f + z)) / (f - z))) / (h - z)))) is V11() V12() ext-real set
((((x + h) - (h + f)) / (x - f)) - (((((h - f) * (h + f)) / (h - f)) - (((f - z) * (f + z)) / (f - z))) / (h - z))) / (x - z) is V11() V12() ext-real Element of REAL
K37(((((x + h) - (h + f)) / (x - f)) - (((((h - f) * (h + f)) / (h - f)) - (((f - z) * (f + z)) / (f - z))) / (h - z))),K39((x - z))) is V11() V12() ext-real set
(h + f) - (((f - z) * (f + z)) / (f - z)) is V11() V12() ext-real Element of REAL
K36((h + f),K38((((f - z) * (f + z)) / (f - z)))) is V11() V12() ext-real set
((h + f) - (((f - z) * (f + z)) / (f - z))) / (h - z) is V11() V12() ext-real Element of REAL
K37(((h + f) - (((f - z) * (f + z)) / (f - z))),K39((h - z))) is V11() V12() ext-real set
(((x + h) - (h + f)) / (x - f)) - (((h + f) - (((f - z) * (f + z)) / (f - z))) / (h - z)) is V11() V12() ext-real Element of REAL
K38((((h + f) - (((f - z) * (f + z)) / (f - z))) / (h - z))) is V11() V12() ext-real set
K36((((x + h) - (h + f)) / (x - f)),K38((((h + f) - (((f - z) * (f + z)) / (f - z))) / (h - z)))) is V11() V12() ext-real set
((((x + h) - (h + f)) / (x - f)) - (((h + f) - (((f - z) * (f + z)) / (f - z))) / (h - z))) / (x - z) is V11() V12() ext-real Element of REAL
K37(((((x + h) - (h + f)) / (x - f)) - (((h + f) - (((f - z) * (f + z)) / (f - z))) / (h - z))),K39((x - z))) is V11() V12() ext-real set
(h + f) - (f + z) is V11() V12() ext-real Element of REAL
K38((f + z)) is V11() V12() ext-real set
K36((h + f),K38((f + z))) is V11() V12() ext-real set
((h + f) - (f + z)) / (h - z) is V11() V12() ext-real Element of REAL
K37(((h + f) - (f + z)),K39((h - z))) is V11() V12() ext-real set
(((x + h) - (h + f)) / (x - f)) - (((h + f) - (f + z)) / (h - z)) is V11() V12() ext-real Element of REAL
K38((((h + f) - (f + z)) / (h - z))) is V11() V12() ext-real set
K36((((x + h) - (h + f)) / (x - f)),K38((((h + f) - (f + z)) / (h - z)))) is V11() V12() ext-real set
((((x + h) - (h + f)) / (x - f)) - (((h + f) - (f + z)) / (h - z))) / (x - z) is V11() V12() ext-real Element of REAL
K37(((((x + h) - (h + f)) / (x - f)) - (((h + f) - (f + z)) / (h - z))),K39((x - z))) is V11() V12() ext-real set
(h - z) / (h - z) is V11() V12() ext-real Element of REAL
K37((h - z),K39((h - z))) is V11() V12() ext-real set
1 - ((h - z) / (h - z)) is V11() V12() ext-real Element of REAL
K38(((h - z) / (h - z))) is V11() V12() ext-real set
K36(1,K38(((h - z) / (h - z)))) is V11() V12() ext-real set
(1 - ((h - z) / (h - z))) / (x - z) is V11() V12() ext-real Element of REAL
K37((1 - ((h - z) / (h - z))),K39((x - z))) is V11() V12() ext-real set
1 - 1 is V11() V12() ext-real Element of REAL
K38(1) is V1() V11() V12() ext-real set
K36(1,K38(1)) is V11() V12() ext-real set
(1 - 1) / (x - z) is V11() V12() ext-real Element of REAL
K37((1 - 1),K39((x - z))) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
x ^2 is V11() V12() ext-real Element of REAL
K37(x,x) is V11() V12() ext-real set
h is V11() V12() ext-real Element of REAL
2 * h is V11() V12() ext-real Element of REAL
(2 * h) * x is V11() V12() ext-real Element of REAL
((2 * h) * x) + (x ^2) is V11() V12() ext-real Element of REAL
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
fD (f,x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (f,x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (f,x)) - f is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(fD (f,x)) . h is V11() V12() ext-real Element of REAL
h + x is V11() V12() ext-real Element of REAL
f . (h + x) is V11() V12() ext-real Element of REAL
(h + x) ^2 is V11() V12() ext-real Element of REAL
K37((h + x),(h + x)) is V11() V12() ext-real set
f . h is V11() V12() ext-real Element of REAL
((h + x) ^2) - (f . h) is V11() V12() ext-real Element of REAL
K38((f . h)) is V11() V12() ext-real set
K36(((h + x) ^2),K38((f . h))) is V11() V12() ext-real set
h ^2 is V11() V12() ext-real Element of REAL
K37(h,h) is V11() V12() ext-real set
(h ^2) + ((2 * h) * x) is V11() V12() ext-real Element of REAL
((h ^2) + ((2 * h) * x)) + (x ^2) is V11() V12() ext-real Element of REAL
(((h ^2) + ((2 * h) * x)) + (x ^2)) - (h ^2) is V11() V12() ext-real Element of REAL
K38((h ^2)) is V11() V12() ext-real set
K36((((h ^2) + ((2 * h) * x)) + (x ^2)),K38((h ^2))) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
2 * h is V11() V12() ext-real Element of REAL
(2 * h) - x is V11() V12() ext-real Element of REAL
K38(x) is V11() V12() ext-real set
K36((2 * h),K38(x)) is V11() V12() ext-real set
x * ((2 * h) - x) is V11() V12() ext-real Element of REAL
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
bD (f,x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (f,K38(x)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
f - (Shift (f,K38(x))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(bD (f,x)) . h is V11() V12() ext-real Element of REAL
h - x is V11() V12() ext-real Element of REAL
K36(h,K38(x)) is V11() V12() ext-real set
f . (h - x) is V11() V12() ext-real Element of REAL
(h - x) ^2 is V11() V12() ext-real Element of REAL
K37((h - x),(h - x)) is V11() V12() ext-real set
f . h is V11() V12() ext-real Element of REAL
(f . h) - (f . (h - x)) is V11() V12() ext-real Element of REAL
K38((f . (h - x))) is V11() V12() ext-real set
K36((f . h),K38((f . (h - x)))) is V11() V12() ext-real set
h ^2 is V11() V12() ext-real Element of REAL
K37(h,h) is V11() V12() ext-real set
(h ^2) - ((h - x) ^2) is V11() V12() ext-real Element of REAL
K38(((h - x) ^2)) is V11() V12() ext-real set
K36((h ^2),K38(((h - x) ^2))) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
2 * x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
(2 * x) * h is V11() V12() ext-real Element of REAL
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
cD (f,x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
x / 2 is V11() V12() ext-real Element of REAL
K37(x,K39(2)) is V11() V12() ext-real set
Shift (f,(x / 2)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
- (x / 2) is V11() V12() ext-real Element of REAL
Shift (f,(- (x / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (f,(x / 2))) - (Shift (f,(- (x / 2)))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(cD (f,x)) . h is V11() V12() ext-real Element of REAL
x / 2 is V11() V12() ext-real Element of REAL
h + (x / 2) is V11() V12() ext-real Element of REAL
f . (h + (x / 2)) is V11() V12() ext-real Element of REAL
h - (x / 2) is V11() V12() ext-real Element of REAL
K38((x / 2)) is V11() V12() ext-real set
K36(h,K38((x / 2))) is V11() V12() ext-real set
f . (h - (x / 2)) is V11() V12() ext-real Element of REAL
(f . (h + (x / 2))) - (f . (h - (x / 2))) is V11() V12() ext-real Element of REAL
K38((f . (h - (x / 2)))) is V11() V12() ext-real set
K36((f . (h + (x / 2))),K38((f . (h - (x / 2))))) is V11() V12() ext-real set
(h + (x / 2)) ^2 is V11() V12() ext-real Element of REAL
K37((h + (x / 2)),(h + (x / 2))) is V11() V12() ext-real set
((h + (x / 2)) ^2) - (f . (h - (x / 2))) is V11() V12() ext-real Element of REAL
K36(((h + (x / 2)) ^2),K38((f . (h - (x / 2))))) is V11() V12() ext-real set
(h - (x / 2)) ^2 is V11() V12() ext-real Element of REAL
K37((h - (x / 2)),(h - (x / 2))) is V11() V12() ext-real set
((h + (x / 2)) ^2) - ((h - (x / 2)) ^2) is V11() V12() ext-real Element of REAL
K38(((h - (x / 2)) ^2)) is V11() V12() ext-real set
K36(((h + (x / 2)) ^2),K38(((h - (x / 2)) ^2))) is V11() V12() ext-real set
2 * h is V11() V12() ext-real Element of REAL
x * (2 * h) is V11() V12() ext-real Element of REAL
x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
1 / h is V11() V12() ext-real Element of REAL
K39(h) is V11() V12() ext-real set
K37(1,K39(h)) is V11() V12() ext-real set
f is V11() V12() ext-real Element of REAL
h * f is V11() V12() ext-real Element of REAL
x / (h * f) is V11() V12() ext-real Element of REAL
K39((h * f)) is V11() V12() ext-real set
K37(x,K39((h * f))) is V11() V12() ext-real set
1 / f is V11() V12() ext-real Element of REAL
K39(f) is V11() V12() ext-real set
K37(1,K39(f)) is V11() V12() ext-real set
(1 / h) + (1 / f) is V11() V12() ext-real Element of REAL
(x / (h * f)) * ((1 / h) + (1 / f)) is V11() V12() ext-real Element of REAL
- ((x / (h * f)) * ((1 / h) + (1 / f))) is V11() V12() ext-real Element of REAL
z is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
[!z,h,f!] is V11() V12() ext-real Element of REAL
z . h is V11() V12() ext-real Element of REAL
z . f is V11() V12() ext-real Element of REAL
(z . h) - (z . f) is V11() V12() ext-real Element of REAL
K38((z . f)) is V11() V12() ext-real set
K36((z . h),K38((z . f))) is V11() V12() ext-real set
K40(h,f) is V11() V12() ext-real set
K38(f) is V11() V12() ext-real set
K36(h,K38(f)) is V11() V12() ext-real set
((z . h) - (z . f)) / K40(h,f) is V11() V12() ext-real Element of REAL
K39(K40(h,f)) is V11() V12() ext-real set
K37(((z . h) - (z . f)),K39(K40(h,f))) is V11() V12() ext-real set
f - h is V11() V12() ext-real Element of REAL
K38(h) is V11() V12() ext-real set
K36(f,K38(h)) is V11() V12() ext-real set
z . h is V11() V12() ext-real Element of REAL
h ^2 is V11() V12() ext-real Element of REAL
K37(h,h) is V11() V12() ext-real set
x / (h ^2) is V11() V12() ext-real Element of REAL
K39((h ^2)) is V11() V12() ext-real set
K37(x,K39((h ^2))) is V11() V12() ext-real set
z . f is V11() V12() ext-real Element of REAL
f ^2 is V11() V12() ext-real Element of REAL
K37(f,f) is V11() V12() ext-real set
x / (f ^2) is V11() V12() ext-real Element of REAL
K39((f ^2)) is V11() V12() ext-real set
K37(x,K39((f ^2))) is V11() V12() ext-real set
1 / (h ^2) is V11() V12() ext-real Element of REAL
K37(1,K39((h ^2))) is V11() V12() ext-real set
1 / (f ^2) is V11() V12() ext-real Element of REAL
K37(1,K39((f ^2))) is V11() V12() ext-real set
(1 / (h ^2)) - (1 / (f ^2)) is V11() V12() ext-real Element of REAL
K38((1 / (f ^2))) is V11() V12() ext-real set
K36((1 / (h ^2)),K38((1 / (f ^2)))) is V11() V12() ext-real set
x * ((1 / (h ^2)) - (1 / (f ^2))) is V11() V12() ext-real Element of REAL
h - f is V11() V12() ext-real Element of REAL
(x * ((1 / (h ^2)) - (1 / (f ^2)))) / (h - f) is V11() V12() ext-real Element of REAL
K39((h - f)) is V11() V12() ext-real set
K37((x * ((1 / (h ^2)) - (1 / (f ^2)))),K39((h - f))) is V11() V12() ext-real set
1 * (f ^2) is V11() V12() ext-real Element of REAL
1 * (h ^2) is V11() V12() ext-real Element of REAL
(1 * (f ^2)) - (1 * (h ^2)) is V11() V12() ext-real Element of REAL
K38((1 * (h ^2))) is V11() V12() ext-real set
K36((1 * (f ^2)),K38((1 * (h ^2)))) is V11() V12() ext-real set
(h ^2) * (f ^2) is V11() V12() ext-real Element of REAL
((1 * (f ^2)) - (1 * (h ^2))) / ((h ^2) * (f ^2)) is V11() V12() ext-real Element of REAL
K39(((h ^2) * (f ^2))) is V11() V12() ext-real set
K37(((1 * (f ^2)) - (1 * (h ^2))),K39(((h ^2) * (f ^2)))) is V11() V12() ext-real set
x * (((1 * (f ^2)) - (1 * (h ^2))) / ((h ^2) * (f ^2))) is V11() V12() ext-real Element of REAL
(x * (((1 * (f ^2)) - (1 * (h ^2))) / ((h ^2) * (f ^2)))) / (h - f) is V11() V12() ext-real Element of REAL
K37((x * (((1 * (f ^2)) - (1 * (h ^2))) / ((h ^2) * (f ^2)))),K39((h - f))) is V11() V12() ext-real set
f + h is V11() V12() ext-real Element of REAL
(f - h) * (f + h) is V11() V12() ext-real Element of REAL
((f - h) * (f + h)) / ((h ^2) * (f ^2)) is V11() V12() ext-real Element of REAL
K37(((f - h) * (f + h)),K39(((h ^2) * (f ^2)))) is V11() V12() ext-real set
- (f - h) is V11() V12() ext-real Element of REAL
(((f - h) * (f + h)) / ((h ^2) * (f ^2))) / (- (f - h)) is V11() V12() ext-real Element of REAL
K39((- (f - h))) is V11() V12() ext-real set
K37((((f - h) * (f + h)) / ((h ^2) * (f ^2))),K39((- (f - h)))) is V11() V12() ext-real set
x * ((((f - h) * (f + h)) / ((h ^2) * (f ^2))) / (- (f - h))) is V11() V12() ext-real Element of REAL
(((f - h) * (f + h)) / ((h ^2) * (f ^2))) / (f - h) is V11() V12() ext-real Element of REAL
K39((f - h)) is V11() V12() ext-real set
K37((((f - h) * (f + h)) / ((h ^2) * (f ^2))),K39((f - h))) is V11() V12() ext-real set
- ((((f - h) * (f + h)) / ((h ^2) * (f ^2))) / (f - h)) is V11() V12() ext-real Element of REAL
x * (- ((((f - h) * (f + h)) / ((h ^2) * (f ^2))) / (f - h))) is V11() V12() ext-real Element of REAL
((f - h) * (f + h)) / (f - h) is V11() V12() ext-real Element of REAL
K37(((f - h) * (f + h)),K39((f - h))) is V11() V12() ext-real set
(((f - h) * (f + h)) / (f - h)) / ((h ^2) * (f ^2)) is V11() V12() ext-real Element of REAL
K37((((f - h) * (f + h)) / (f - h)),K39(((h ^2) * (f ^2)))) is V11() V12() ext-real set
x * ((((f - h) * (f + h)) / (f - h)) / ((h ^2) * (f ^2))) is V11() V12() ext-real Element of REAL
- (x * ((((f - h) * (f + h)) / (f - h)) / ((h ^2) * (f ^2)))) is V11() V12() ext-real Element of REAL
h * h is V11() V12() ext-real Element of REAL
(h * h) * f is V11() V12() ext-real Element of REAL
((h * h) * f) * f is V11() V12() ext-real Element of REAL
(f + h) / (((h * h) * f) * f) is V11() V12() ext-real Element of REAL
K39((((h * h) * f) * f)) is V11() V12() ext-real set
K37((f + h),K39((((h * h) * f) * f))) is V11() V12() ext-real set
x * ((f + h) / (((h * h) * f) * f)) is V11() V12() ext-real Element of REAL
- (x * ((f + h) / (((h * h) * f) * f))) is V11() V12() ext-real Element of REAL
f * ((h * h) * f) is V11() V12() ext-real Element of REAL
f / (f * ((h * h) * f)) is V11() V12() ext-real Element of REAL
K39((f * ((h * h) * f))) is V11() V12() ext-real set
K37(f,K39((f * ((h * h) * f)))) is V11() V12() ext-real set
(h * f) * f is V11() V12() ext-real Element of REAL
h * ((h * f) * f) is V11() V12() ext-real Element of REAL
h / (h * ((h * f) * f)) is V11() V12() ext-real Element of REAL
K39((h * ((h * f) * f))) is V11() V12() ext-real set
K37(h,K39((h * ((h * f) * f)))) is V11() V12() ext-real set
(f / (f * ((h * h) * f))) + (h / (h * ((h * f) * f))) is V11() V12() ext-real Element of REAL
x * ((f / (f * ((h * h) * f))) + (h / (h * ((h * f) * f)))) is V11() V12() ext-real Element of REAL
- (x * ((f / (f * ((h * h) * f))) + (h / (h * ((h * f) * f))))) is V11() V12() ext-real Element of REAL
1 / ((h * h) * f) is V11() V12() ext-real Element of REAL
K39(((h * h) * f)) is V11() V12() ext-real set
K37(1,K39(((h * h) * f))) is V11() V12() ext-real set
f / f is V11() V12() ext-real Element of REAL
K37(f,K39(f)) is V11() V12() ext-real set
(1 / ((h * h) * f)) * (f / f) is V11() V12() ext-real Element of REAL
((1 / ((h * h) * f)) * (f / f)) + (h / (h * ((h * f) * f))) is V11() V12() ext-real Element of REAL
x * (((1 / ((h * h) * f)) * (f / f)) + (h / (h * ((h * f) * f)))) is V11() V12() ext-real Element of REAL
- (x * (((1 / ((h * h) * f)) * (f / f)) + (h / (h * ((h * f) * f))))) is V11() V12() ext-real Element of REAL
1 / ((h * f) * f) is V11() V12() ext-real Element of REAL
K39(((h * f) * f)) is V11() V12() ext-real set
K37(1,K39(((h * f) * f))) is V11() V12() ext-real set
h / h is V11() V12() ext-real Element of REAL
K37(h,K39(h)) is V11() V12() ext-real set
(1 / ((h * f) * f)) * (h / h) is V11() V12() ext-real Element of REAL
((1 / ((h * h) * f)) * (f / f)) + ((1 / ((h * f) * f)) * (h / h)) is V11() V12() ext-real Element of REAL
x * (((1 / ((h * h) * f)) * (f / f)) + ((1 / ((h * f) * f)) * (h / h))) is V11() V12() ext-real Element of REAL
- (x * (((1 / ((h * h) * f)) * (f / f)) + ((1 / ((h * f) * f)) * (h / h)))) is V11() V12() ext-real Element of REAL
(1 / ((h * h) * f)) * 1 is V11() V12() ext-real Element of REAL
((1 / ((h * h) * f)) * 1) + ((1 / ((h * f) * f)) * (h / h)) is V11() V12() ext-real Element of REAL
x * (((1 / ((h * h) * f)) * 1) + ((1 / ((h * f) * f)) * (h / h))) is V11() V12() ext-real Element of REAL
- (x * (((1 / ((h * h) * f)) * 1) + ((1 / ((h * f) * f)) * (h / h)))) is V11() V12() ext-real Element of REAL
h * (h * f) is V11() V12() ext-real Element of REAL
1 / (h * (h * f)) is V11() V12() ext-real Element of REAL
K39((h * (h * f))) is V11() V12() ext-real set
K37(1,K39((h * (h * f)))) is V11() V12() ext-real set
(1 / (h * (h * f))) + (1 / ((h * f) * f)) is V11() V12() ext-real Element of REAL
x * ((1 / (h * (h * f))) + (1 / ((h * f) * f))) is V11() V12() ext-real Element of REAL
- (x * ((1 / (h * (h * f))) + (1 / ((h * f) * f)))) is V11() V12() ext-real Element of REAL
1 / (h * f) is V11() V12() ext-real Element of REAL
K37(1,K39((h * f))) is V11() V12() ext-real set
(1 / h) * (1 / (h * f)) is V11() V12() ext-real Element of REAL
((1 / h) * (1 / (h * f))) + (1 / ((h * f) * f)) is V11() V12() ext-real Element of REAL
x * (((1 / h) * (1 / (h * f))) + (1 / ((h * f) * f))) is V11() V12() ext-real Element of REAL
- (x * (((1 / h) * (1 / (h * f))) + (1 / ((h * f) * f)))) is V11() V12() ext-real Element of REAL
(1 / (h * f)) * (1 / f) is V11() V12() ext-real Element of REAL
((1 / h) * (1 / (h * f))) + ((1 / (h * f)) * (1 / f)) is V11() V12() ext-real Element of REAL
x * (((1 / h) * (1 / (h * f))) + ((1 / (h * f)) * (1 / f))) is V11() V12() ext-real Element of REAL
- (x * (((1 / h) * (1 / (h * f))) + ((1 / (h * f)) * (1 / f)))) is V11() V12() ext-real Element of REAL
x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
1 / h is V11() V12() ext-real Element of REAL
K39(h) is V11() V12() ext-real set
K37(1,K39(h)) is V11() V12() ext-real set
f is V11() V12() ext-real Element of REAL
h * f is V11() V12() ext-real Element of REAL
1 / f is V11() V12() ext-real Element of REAL
K39(f) is V11() V12() ext-real set
K37(1,K39(f)) is V11() V12() ext-real set
(1 / h) + (1 / f) is V11() V12() ext-real Element of REAL
z is V11() V12() ext-real Element of REAL
(h * f) * z is V11() V12() ext-real Element of REAL
x / ((h * f) * z) is V11() V12() ext-real Element of REAL
K39(((h * f) * z)) is V11() V12() ext-real set
K37(x,K39(((h * f) * z))) is V11() V12() ext-real set
1 / z is V11() V12() ext-real Element of REAL
K39(z) is V11() V12() ext-real set
K37(1,K39(z)) is V11() V12() ext-real set
((1 / h) + (1 / f)) + (1 / z) is V11() V12() ext-real Element of REAL
(x / ((h * f) * z)) * (((1 / h) + (1 / f)) + (1 / z)) is V11() V12() ext-real Element of REAL
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
[!f,h,f,z!] is V11() V12() ext-real Element of REAL
[!f,h,f!] is V11() V12() ext-real Element of REAL
f . h is V11() V12() ext-real Element of REAL
f . f is V11() V12() ext-real Element of REAL
(f . h) - (f . f) is V11() V12() ext-real Element of REAL
K38((f . f)) is V11() V12() ext-real set
K36((f . h),K38((f . f))) is V11() V12() ext-real set
K40(h,f) is V11() V12() ext-real set
K38(f) is V11() V12() ext-real set
K36(h,K38(f)) is V11() V12() ext-real set
((f . h) - (f . f)) / K40(h,f) is V11() V12() ext-real Element of REAL
K39(K40(h,f)) is V11() V12() ext-real set
K37(((f . h) - (f . f)),K39(K40(h,f))) is V11() V12() ext-real set
[!f,f,z!] is V11() V12() ext-real Element of REAL
f . z is V11() V12() ext-real Element of REAL
(f . f) - (f . z) is V11() V12() ext-real Element of REAL
K38((f . z)) is V11() V12() ext-real set
K36((f . f),K38((f . z))) is V11() V12() ext-real set
K40(f,z) is V11() V12() ext-real set
K38(z) is V11() V12() ext-real set
K36(f,K38(z)) is V11() V12() ext-real set
((f . f) - (f . z)) / K40(f,z) is V11() V12() ext-real Element of REAL
K39(K40(f,z)) is V11() V12() ext-real set
K37(((f . f) - (f . z)),K39(K40(f,z))) is V11() V12() ext-real set
[!f,h,f!] - [!f,f,z!] is V11() V12() ext-real Element of REAL
K38([!f,f,z!]) is V11() V12() ext-real set
K36([!f,h,f!],K38([!f,f,z!])) is V11() V12() ext-real set
K40(h,z) is V11() V12() ext-real set
K36(h,K38(z)) is V11() V12() ext-real set
([!f,h,f!] - [!f,f,z!]) / K40(h,z) is V11() V12() ext-real Element of REAL
K39(K40(h,z)) is V11() V12() ext-real set
K37(([!f,h,f!] - [!f,f,z!]),K39(K40(h,z))) is V11() V12() ext-real set
f . h is V11() V12() ext-real Element of REAL
h ^2 is V11() V12() ext-real Element of REAL
K37(h,h) is V11() V12() ext-real set
x / (h ^2) is V11() V12() ext-real Element of REAL
K39((h ^2)) is V11() V12() ext-real set
K37(x,K39((h ^2))) is V11() V12() ext-real set
f . f is V11() V12() ext-real Element of REAL
f ^2 is V11() V12() ext-real Element of REAL
K37(f,f) is V11() V12() ext-real set
x / (f ^2) is V11() V12() ext-real Element of REAL
K39((f ^2)) is V11() V12() ext-real set
K37(x,K39((f ^2))) is V11() V12() ext-real set
f . z is V11() V12() ext-real Element of REAL
z ^2 is V11() V12() ext-real Element of REAL
K37(z,z) is V11() V12() ext-real set
x / (z ^2) is V11() V12() ext-real Element of REAL
K39((z ^2)) is V11() V12() ext-real set
K37(x,K39((z ^2))) is V11() V12() ext-real set
f - h is V11() V12() ext-real Element of REAL
K38(h) is V11() V12() ext-real set
K36(f,K38(h)) is V11() V12() ext-real set
z - f is V11() V12() ext-real Element of REAL
K36(z,K38(f)) is V11() V12() ext-real set
h - z is V11() V12() ext-real Element of REAL
1 / (h ^2) is V11() V12() ext-real Element of REAL
K37(1,K39((h ^2))) is V11() V12() ext-real set
1 / (f ^2) is V11() V12() ext-real Element of REAL
K37(1,K39((f ^2))) is V11() V12() ext-real set
(1 / (h ^2)) - (1 / (f ^2)) is V11() V12() ext-real Element of REAL
K38((1 / (f ^2))) is V11() V12() ext-real set
K36((1 / (h ^2)),K38((1 / (f ^2)))) is V11() V12() ext-real set
x * ((1 / (h ^2)) - (1 / (f ^2))) is V11() V12() ext-real Element of REAL
h - f is V11() V12() ext-real Element of REAL
(x * ((1 / (h ^2)) - (1 / (f ^2)))) / (h - f) is V11() V12() ext-real Element of REAL
K39((h - f)) is V11() V12() ext-real set
K37((x * ((1 / (h ^2)) - (1 / (f ^2)))),K39((h - f))) is V11() V12() ext-real set
1 / (z ^2) is V11() V12() ext-real Element of REAL
K37(1,K39((z ^2))) is V11() V12() ext-real set
(1 / (f ^2)) - (1 / (z ^2)) is V11() V12() ext-real Element of REAL
K38((1 / (z ^2))) is V11() V12() ext-real set
K36((1 / (f ^2)),K38((1 / (z ^2)))) is V11() V12() ext-real set
x * ((1 / (f ^2)) - (1 / (z ^2))) is V11() V12() ext-real Element of REAL
f - z is V11() V12() ext-real Element of REAL
(x * ((1 / (f ^2)) - (1 / (z ^2)))) / (f - z) is V11() V12() ext-real Element of REAL
K39((f - z)) is V11() V12() ext-real set
K37((x * ((1 / (f ^2)) - (1 / (z ^2)))),K39((f - z))) is V11() V12() ext-real set
((x * ((1 / (h ^2)) - (1 / (f ^2)))) / (h - f)) - ((x * ((1 / (f ^2)) - (1 / (z ^2)))) / (f - z)) is V11() V12() ext-real Element of REAL
K38(((x * ((1 / (f ^2)) - (1 / (z ^2)))) / (f - z))) is V11() V12() ext-real set
K36(((x * ((1 / (h ^2)) - (1 / (f ^2)))) / (h - f)),K38(((x * ((1 / (f ^2)) - (1 / (z ^2)))) / (f - z)))) is V11() V12() ext-real set
(((x * ((1 / (h ^2)) - (1 / (f ^2)))) / (h - f)) - ((x * ((1 / (f ^2)) - (1 / (z ^2)))) / (f - z))) / (h - z) is V11() V12() ext-real Element of REAL
K39((h - z)) is V11() V12() ext-real set
K37((((x * ((1 / (h ^2)) - (1 / (f ^2)))) / (h - f)) - ((x * ((1 / (f ^2)) - (1 / (z ^2)))) / (f - z))),K39((h - z))) is V11() V12() ext-real set
1 * (f ^2) is V11() V12() ext-real Element of REAL
1 * (h ^2) is V11() V12() ext-real Element of REAL
(1 * (f ^2)) - (1 * (h ^2)) is V11() V12() ext-real Element of REAL
K38((1 * (h ^2))) is V11() V12() ext-real set
K36((1 * (f ^2)),K38((1 * (h ^2)))) is V11() V12() ext-real set
(h ^2) * (f ^2) is V11() V12() ext-real Element of REAL
((1 * (f ^2)) - (1 * (h ^2))) / ((h ^2) * (f ^2)) is V11() V12() ext-real Element of REAL
K39(((h ^2) * (f ^2))) is V11() V12() ext-real set
K37(((1 * (f ^2)) - (1 * (h ^2))),K39(((h ^2) * (f ^2)))) is V11() V12() ext-real set
x * (((1 * (f ^2)) - (1 * (h ^2))) / ((h ^2) * (f ^2))) is V11() V12() ext-real Element of REAL
(x * (((1 * (f ^2)) - (1 * (h ^2))) / ((h ^2) * (f ^2)))) / (h - f) is V11() V12() ext-real Element of REAL
K37((x * (((1 * (f ^2)) - (1 * (h ^2))) / ((h ^2) * (f ^2)))),K39((h - f))) is V11() V12() ext-real set
((x * (((1 * (f ^2)) - (1 * (h ^2))) / ((h ^2) * (f ^2)))) / (h - f)) - ((x * ((1 / (f ^2)) - (1 / (z ^2)))) / (f - z)) is V11() V12() ext-real Element of REAL
K36(((x * (((1 * (f ^2)) - (1 * (h ^2))) / ((h ^2) * (f ^2)))) / (h - f)),K38(((x * ((1 / (f ^2)) - (1 / (z ^2)))) / (f - z)))) is V11() V12() ext-real set
(((x * (((1 * (f ^2)) - (1 * (h ^2))) / ((h ^2) * (f ^2)))) / (h - f)) - ((x * ((1 / (f ^2)) - (1 / (z ^2)))) / (f - z))) / (h - z) is V11() V12() ext-real Element of REAL
K37((((x * (((1 * (f ^2)) - (1 * (h ^2))) / ((h ^2) * (f ^2)))) / (h - f)) - ((x * ((1 / (f ^2)) - (1 / (z ^2)))) / (f - z))),K39((h - z))) is V11() V12() ext-real set
1 * (z ^2) is V11() V12() ext-real Element of REAL
(1 * (z ^2)) - (1 * (f ^2)) is V11() V12() ext-real Element of REAL
K38((1 * (f ^2))) is V11() V12() ext-real set
K36((1 * (z ^2)),K38((1 * (f ^2)))) is V11() V12() ext-real set
(f ^2) * (z ^2) is V11() V12() ext-real Element of REAL
((1 * (z ^2)) - (1 * (f ^2))) / ((f ^2) * (z ^2)) is V11() V12() ext-real Element of REAL
K39(((f ^2) * (z ^2))) is V11() V12() ext-real set
K37(((1 * (z ^2)) - (1 * (f ^2))),K39(((f ^2) * (z ^2)))) is V11() V12() ext-real set
x * (((1 * (z ^2)) - (1 * (f ^2))) / ((f ^2) * (z ^2))) is V11() V12() ext-real Element of REAL
(x * (((1 * (z ^2)) - (1 * (f ^2))) / ((f ^2) * (z ^2)))) / (f - z) is V11() V12() ext-real Element of REAL
K37((x * (((1 * (z ^2)) - (1 * (f ^2))) / ((f ^2) * (z ^2)))),K39((f - z))) is V11() V12() ext-real set
((x * (((1 * (f ^2)) - (1 * (h ^2))) / ((h ^2) * (f ^2)))) / (h - f)) - ((x * (((1 * (z ^2)) - (1 * (f ^2))) / ((f ^2) * (z ^2)))) / (f - z)) is V11() V12() ext-real Element of REAL
K38(((x * (((1 * (z ^2)) - (1 * (f ^2))) / ((f ^2) * (z ^2)))) / (f - z))) is V11() V12() ext-real set
K36(((x * (((1 * (f ^2)) - (1 * (h ^2))) / ((h ^2) * (f ^2)))) / (h - f)),K38(((x * (((1 * (z ^2)) - (1 * (f ^2))) / ((f ^2) * (z ^2)))) / (f - z)))) is V11() V12() ext-real set
(((x * (((1 * (f ^2)) - (1 * (h ^2))) / ((h ^2) * (f ^2)))) / (h - f)) - ((x * (((1 * (z ^2)) - (1 * (f ^2))) / ((f ^2) * (z ^2)))) / (f - z))) / (h - z) is V11() V12() ext-real Element of REAL
K37((((x * (((1 * (f ^2)) - (1 * (h ^2))) / ((h ^2) * (f ^2)))) / (h - f)) - ((x * (((1 * (z ^2)) - (1 * (f ^2))) / ((f ^2) * (z ^2)))) / (f - z))),K39((h - z))) is V11() V12() ext-real set
f + h is V11() V12() ext-real Element of REAL
(f - h) * (f + h) is V11() V12() ext-real Element of REAL
((f - h) * (f + h)) / ((h ^2) * (f ^2)) is V11() V12() ext-real Element of REAL
K37(((f - h) * (f + h)),K39(((h ^2) * (f ^2)))) is V11() V12() ext-real set
- (f - h) is V11() V12() ext-real Element of REAL
(((f - h) * (f + h)) / ((h ^2) * (f ^2))) / (- (f - h)) is V11() V12() ext-real Element of REAL
K39((- (f - h))) is V11() V12() ext-real set
K37((((f - h) * (f + h)) / ((h ^2) * (f ^2))),K39((- (f - h)))) is V11() V12() ext-real set
x * ((((f - h) * (f + h)) / ((h ^2) * (f ^2))) / (- (f - h))) is V11() V12() ext-real Element of REAL
z + f is V11() V12() ext-real Element of REAL
(z - f) * (z + f) is V11() V12() ext-real Element of REAL
((z - f) * (z + f)) / ((f ^2) * (z ^2)) is V11() V12() ext-real Element of REAL
K37(((z - f) * (z + f)),K39(((f ^2) * (z ^2)))) is V11() V12() ext-real set
- (z - f) is V11() V12() ext-real Element of REAL
(((z - f) * (z + f)) / ((f ^2) * (z ^2))) / (- (z - f)) is V11() V12() ext-real Element of REAL
K39((- (z - f))) is V11() V12() ext-real set
K37((((z - f) * (z + f)) / ((f ^2) * (z ^2))),K39((- (z - f)))) is V11() V12() ext-real set
x * ((((z - f) * (z + f)) / ((f ^2) * (z ^2))) / (- (z - f))) is V11() V12() ext-real Element of REAL
(x * ((((f - h) * (f + h)) / ((h ^2) * (f ^2))) / (- (f - h)))) - (x * ((((z - f) * (z + f)) / ((f ^2) * (z ^2))) / (- (z - f)))) is V11() V12() ext-real Element of REAL
K38((x * ((((z - f) * (z + f)) / ((f ^2) * (z ^2))) / (- (z - f))))) is V11() V12() ext-real set
K36((x * ((((f - h) * (f + h)) / ((h ^2) * (f ^2))) / (- (f - h)))),K38((x * ((((z - f) * (z + f)) / ((f ^2) * (z ^2))) / (- (z - f)))))) is V11() V12() ext-real set
((x * ((((f - h) * (f + h)) / ((h ^2) * (f ^2))) / (- (f - h)))) - (x * ((((z - f) * (z + f)) / ((f ^2) * (z ^2))) / (- (z - f))))) / (h - z) is V11() V12() ext-real Element of REAL
K37(((x * ((((f - h) * (f + h)) / ((h ^2) * (f ^2))) / (- (f - h)))) - (x * ((((z - f) * (z + f)) / ((f ^2) * (z ^2))) / (- (z - f))))),K39((h - z))) is V11() V12() ext-real set
(((f - h) * (f + h)) / ((h ^2) * (f ^2))) / (f - h) is V11() V12() ext-real Element of REAL
K39((f - h)) is V11() V12() ext-real set
K37((((f - h) * (f + h)) / ((h ^2) * (f ^2))),K39((f - h))) is V11() V12() ext-real set
- ((((f - h) * (f + h)) / ((h ^2) * (f ^2))) / (f - h)) is V11() V12() ext-real Element of REAL
x * (- ((((f - h) * (f + h)) / ((h ^2) * (f ^2))) / (f - h))) is V11() V12() ext-real Element of REAL
(x * (- ((((f - h) * (f + h)) / ((h ^2) * (f ^2))) / (f - h)))) - (x * ((((z - f) * (z + f)) / ((f ^2) * (z ^2))) / (- (z - f)))) is V11() V12() ext-real Element of REAL
K36((x * (- ((((f - h) * (f + h)) / ((h ^2) * (f ^2))) / (f - h)))),K38((x * ((((z - f) * (z + f)) / ((f ^2) * (z ^2))) / (- (z - f)))))) is V11() V12() ext-real set
((x * (- ((((f - h) * (f + h)) / ((h ^2) * (f ^2))) / (f - h)))) - (x * ((((z - f) * (z + f)) / ((f ^2) * (z ^2))) / (- (z - f))))) / (h - z) is V11() V12() ext-real Element of REAL
K37(((x * (- ((((f - h) * (f + h)) / ((h ^2) * (f ^2))) / (f - h)))) - (x * ((((z - f) * (z + f)) / ((f ^2) * (z ^2))) / (- (z - f))))),K39((h - z))) is V11() V12() ext-real set
x * ((((f - h) * (f + h)) / ((h ^2) * (f ^2))) / (f - h)) is V11() V12() ext-real Element of REAL
- (x * ((((f - h) * (f + h)) / ((h ^2) * (f ^2))) / (f - h))) is V11() V12() ext-real Element of REAL
(((z - f) * (z + f)) / ((f ^2) * (z ^2))) / (z - f) is V11() V12() ext-real Element of REAL
K39((z - f)) is V11() V12() ext-real set
K37((((z - f) * (z + f)) / ((f ^2) * (z ^2))),K39((z - f))) is V11() V12() ext-real set
- ((((z - f) * (z + f)) / ((f ^2) * (z ^2))) / (z - f)) is V11() V12() ext-real Element of REAL
x * (- ((((z - f) * (z + f)) / ((f ^2) * (z ^2))) / (z - f))) is V11() V12() ext-real Element of REAL
(- (x * ((((f - h) * (f + h)) / ((h ^2) * (f ^2))) / (f - h)))) - (x * (- ((((z - f) * (z + f)) / ((f ^2) * (z ^2))) / (z - f)))) is V11() V12() ext-real Element of REAL
K38((x * (- ((((z - f) * (z + f)) / ((f ^2) * (z ^2))) / (z - f))))) is V11() V12() ext-real set
K36((- (x * ((((f - h) * (f + h)) / ((h ^2) * (f ^2))) / (f - h)))),K38((x * (- ((((z - f) * (z + f)) / ((f ^2) * (z ^2))) / (z - f)))))) is V11() V12() ext-real set
((- (x * ((((f - h) * (f + h)) / ((h ^2) * (f ^2))) / (f - h)))) - (x * (- ((((z - f) * (z + f)) / ((f ^2) * (z ^2))) / (z - f))))) / (h - z) is V11() V12() ext-real Element of REAL
K37(((- (x * ((((f - h) * (f + h)) / ((h ^2) * (f ^2))) / (f - h)))) - (x * (- ((((z - f) * (z + f)) / ((f ^2) * (z ^2))) / (z - f))))),K39((h - z))) is V11() V12() ext-real set
((f - h) * (f + h)) / (f - h) is V11() V12() ext-real Element of REAL
K37(((f - h) * (f + h)),K39((f - h))) is V11() V12() ext-real set
(((f - h) * (f + h)) / (f - h)) / ((h ^2) * (f ^2)) is V11() V12() ext-real Element of REAL
K37((((f - h) * (f + h)) / (f - h)),K39(((h ^2) * (f ^2)))) is V11() V12() ext-real set
x * ((((f - h) * (f + h)) / (f - h)) / ((h ^2) * (f ^2))) is V11() V12() ext-real Element of REAL
- (x * ((((f - h) * (f + h)) / (f - h)) / ((h ^2) * (f ^2)))) is V11() V12() ext-real Element of REAL
((z - f) * (z + f)) / (z - f) is V11() V12() ext-real Element of REAL
K37(((z - f) * (z + f)),K39((z - f))) is V11() V12() ext-real set
(((z - f) * (z + f)) / (z - f)) / ((f ^2) * (z ^2)) is V11() V12() ext-real Element of REAL
K37((((z - f) * (z + f)) / (z - f)),K39(((f ^2) * (z ^2)))) is V11() V12() ext-real set
x * ((((z - f) * (z + f)) / (z - f)) / ((f ^2) * (z ^2))) is V11() V12() ext-real Element of REAL
(- (x * ((((f - h) * (f + h)) / (f - h)) / ((h ^2) * (f ^2))))) + (x * ((((z - f) * (z + f)) / (z - f)) / ((f ^2) * (z ^2)))) is V11() V12() ext-real Element of REAL
((- (x * ((((f - h) * (f + h)) / (f - h)) / ((h ^2) * (f ^2))))) + (x * ((((z - f) * (z + f)) / (z - f)) / ((f ^2) * (z ^2))))) / (h - z) is V11() V12() ext-real Element of REAL
K37(((- (x * ((((f - h) * (f + h)) / (f - h)) / ((h ^2) * (f ^2))))) + (x * ((((z - f) * (z + f)) / (z - f)) / ((f ^2) * (z ^2))))),K39((h - z))) is V11() V12() ext-real set
(f + h) / ((h ^2) * (f ^2)) is V11() V12() ext-real Element of REAL
K37((f + h),K39(((h ^2) * (f ^2)))) is V11() V12() ext-real set
x * ((f + h) / ((h ^2) * (f ^2))) is V11() V12() ext-real Element of REAL
- (x * ((f + h) / ((h ^2) * (f ^2)))) is V11() V12() ext-real Element of REAL
(- (x * ((f + h) / ((h ^2) * (f ^2))))) + (x * ((((z - f) * (z + f)) / (z - f)) / ((f ^2) * (z ^2)))) is V11() V12() ext-real Element of REAL
((- (x * ((f + h) / ((h ^2) * (f ^2))))) + (x * ((((z - f) * (z + f)) / (z - f)) / ((f ^2) * (z ^2))))) / (h - z) is V11() V12() ext-real Element of REAL
K37(((- (x * ((f + h) / ((h ^2) * (f ^2))))) + (x * ((((z - f) * (z + f)) / (z - f)) / ((f ^2) * (z ^2))))),K39((h - z))) is V11() V12() ext-real set
h * h is V11() V12() ext-real Element of REAL
(h * h) * f is V11() V12() ext-real Element of REAL
((h * h) * f) * f is V11() V12() ext-real Element of REAL
f / (((h * h) * f) * f) is V11() V12() ext-real Element of REAL
K39((((h * h) * f) * f)) is V11() V12() ext-real set
K37(f,K39((((h * h) * f) * f))) is V11() V12() ext-real set
h / (((h * h) * f) * f) is V11() V12() ext-real Element of REAL
K37(h,K39((((h * h) * f) * f))) is V11() V12() ext-real set
(f / (((h * h) * f) * f)) + (h / (((h * h) * f) * f)) is V11() V12() ext-real Element of REAL
x * ((f / (((h * h) * f) * f)) + (h / (((h * h) * f) * f))) is V11() V12() ext-real Element of REAL
- (x * ((f / (((h * h) * f) * f)) + (h / (((h * h) * f) * f)))) is V11() V12() ext-real Element of REAL
f * f is V11() V12() ext-real Element of REAL
(f * f) * z is V11() V12() ext-real Element of REAL
((f * f) * z) * z is V11() V12() ext-real Element of REAL
(z + f) / (((f * f) * z) * z) is V11() V12() ext-real Element of REAL
K39((((f * f) * z) * z)) is V11() V12() ext-real set
K37((z + f),K39((((f * f) * z) * z))) is V11() V12() ext-real set
x * ((z + f) / (((f * f) * z) * z)) is V11() V12() ext-real Element of REAL
(- (x * ((f / (((h * h) * f) * f)) + (h / (((h * h) * f) * f))))) + (x * ((z + f) / (((f * f) * z) * z))) is V11() V12() ext-real Element of REAL
((- (x * ((f / (((h * h) * f) * f)) + (h / (((h * h) * f) * f))))) + (x * ((z + f) / (((f * f) * z) * z)))) / (h - z) is V11() V12() ext-real Element of REAL
K37(((- (x * ((f / (((h * h) * f) * f)) + (h / (((h * h) * f) * f))))) + (x * ((z + f) / (((f * f) * z) * z)))),K39((h - z))) is V11() V12() ext-real set
1 / ((h * h) * f) is V11() V12() ext-real Element of REAL
K39(((h * h) * f)) is V11() V12() ext-real set
K37(1,K39(((h * h) * f))) is V11() V12() ext-real set
f / f is V11() V12() ext-real Element of REAL
K37(f,K39(f)) is V11() V12() ext-real set
(1 / ((h * h) * f)) * (f / f) is V11() V12() ext-real Element of REAL
(h * f) * f is V11() V12() ext-real Element of REAL
h * ((h * f) * f) is V11() V12() ext-real Element of REAL
h / (h * ((h * f) * f)) is V11() V12() ext-real Element of REAL
K39((h * ((h * f) * f))) is V11() V12() ext-real set
K37(h,K39((h * ((h * f) * f)))) is V11() V12() ext-real set
((1 / ((h * h) * f)) * (f / f)) + (h / (h * ((h * f) * f))) is V11() V12() ext-real Element of REAL
x * (((1 / ((h * h) * f)) * (f / f)) + (h / (h * ((h * f) * f)))) is V11() V12() ext-real Element of REAL
- (x * (((1 / ((h * h) * f)) * (f / f)) + (h / (h * ((h * f) * f))))) is V11() V12() ext-real Element of REAL
z * ((f * f) * z) is V11() V12() ext-real Element of REAL
z / (z * ((f * f) * z)) is V11() V12() ext-real Element of REAL
K39((z * ((f * f) * z))) is V11() V12() ext-real set
K37(z,K39((z * ((f * f) * z)))) is V11() V12() ext-real set
f * z is V11() V12() ext-real Element of REAL
(f * z) * z is V11() V12() ext-real Element of REAL
f * ((f * z) * z) is V11() V12() ext-real Element of REAL
f / (f * ((f * z) * z)) is V11() V12() ext-real Element of REAL
K39((f * ((f * z) * z))) is V11() V12() ext-real set
K37(f,K39((f * ((f * z) * z)))) is V11() V12() ext-real set
(z / (z * ((f * f) * z))) + (f / (f * ((f * z) * z))) is V11() V12() ext-real Element of REAL
x * ((z / (z * ((f * f) * z))) + (f / (f * ((f * z) * z)))) is V11() V12() ext-real Element of REAL
(- (x * (((1 / ((h * h) * f)) * (f / f)) + (h / (h * ((h * f) * f)))))) + (x * ((z / (z * ((f * f) * z))) + (f / (f * ((f * z) * z))))) is V11() V12() ext-real Element of REAL
((- (x * (((1 / ((h * h) * f)) * (f / f)) + (h / (h * ((h * f) * f)))))) + (x * ((z / (z * ((f * f) * z))) + (f / (f * ((f * z) * z)))))) / (h - z) is V11() V12() ext-real Element of REAL
K37(((- (x * (((1 / ((h * h) * f)) * (f / f)) + (h / (h * ((h * f) * f)))))) + (x * ((z / (z * ((f * f) * z))) + (f / (f * ((f * z) * z)))))),K39((h - z))) is V11() V12() ext-real set
1 / ((f * f) * z) is V11() V12() ext-real Element of REAL
K39(((f * f) * z)) is V11() V12() ext-real set
K37(1,K39(((f * f) * z))) is V11() V12() ext-real set
z / z is V11() V12() ext-real Element of REAL
K37(z,K39(z)) is V11() V12() ext-real set
(1 / ((f * f) * z)) * (z / z) is V11() V12() ext-real Element of REAL
((1 / ((f * f) * z)) * (z / z)) + (f / (f * ((f * z) * z))) is V11() V12() ext-real Element of REAL
x * (((1 / ((f * f) * z)) * (z / z)) + (f / (f * ((f * z) * z)))) is V11() V12() ext-real Element of REAL
(- (x * (((1 / ((h * h) * f)) * (f / f)) + (h / (h * ((h * f) * f)))))) + (x * (((1 / ((f * f) * z)) * (z / z)) + (f / (f * ((f * z) * z))))) is V11() V12() ext-real Element of REAL
((- (x * (((1 / ((h * h) * f)) * (f / f)) + (h / (h * ((h * f) * f)))))) + (x * (((1 / ((f * f) * z)) * (z / z)) + (f / (f * ((f * z) * z)))))) / (h - z) is V11() V12() ext-real Element of REAL
K37(((- (x * (((1 / ((h * h) * f)) * (f / f)) + (h / (h * ((h * f) * f)))))) + (x * (((1 / ((f * f) * z)) * (z / z)) + (f / (f * ((f * z) * z)))))),K39((h - z))) is V11() V12() ext-real set
1 / ((h * f) * f) is V11() V12() ext-real Element of REAL
K39(((h * f) * f)) is V11() V12() ext-real set
K37(1,K39(((h * f) * f))) is V11() V12() ext-real set
h / h is V11() V12() ext-real Element of REAL
K37(h,K39(h)) is V11() V12() ext-real set
(1 / ((h * f) * f)) * (h / h) is V11() V12() ext-real Element of REAL
((1 / ((h * h) * f)) * (f / f)) + ((1 / ((h * f) * f)) * (h / h)) is V11() V12() ext-real Element of REAL
x * (((1 / ((h * h) * f)) * (f / f)) + ((1 / ((h * f) * f)) * (h / h))) is V11() V12() ext-real Element of REAL
- (x * (((1 / ((h * h) * f)) * (f / f)) + ((1 / ((h * f) * f)) * (h / h)))) is V11() V12() ext-real Element of REAL
(- (x * (((1 / ((h * h) * f)) * (f / f)) + ((1 / ((h * f) * f)) * (h / h))))) + (x * (((1 / ((f * f) * z)) * (z / z)) + (f / (f * ((f * z) * z))))) is V11() V12() ext-real Element of REAL
((- (x * (((1 / ((h * h) * f)) * (f / f)) + ((1 / ((h * f) * f)) * (h / h))))) + (x * (((1 / ((f * f) * z)) * (z / z)) + (f / (f * ((f * z) * z)))))) / (h - z) is V11() V12() ext-real Element of REAL
K37(((- (x * (((1 / ((h * h) * f)) * (f / f)) + ((1 / ((h * f) * f)) * (h / h))))) + (x * (((1 / ((f * f) * z)) * (z / z)) + (f / (f * ((f * z) * z)))))),K39((h - z))) is V11() V12() ext-real set
1 / ((f * z) * z) is V11() V12() ext-real Element of REAL
K39(((f * z) * z)) is V11() V12() ext-real set
K37(1,K39(((f * z) * z))) is V11() V12() ext-real set
(1 / ((f * z) * z)) * (f / f) is V11() V12() ext-real Element of REAL
((1 / ((f * f) * z)) * (z / z)) + ((1 / ((f * z) * z)) * (f / f)) is V11() V12() ext-real Element of REAL
x * (((1 / ((f * f) * z)) * (z / z)) + ((1 / ((f * z) * z)) * (f / f))) is V11() V12() ext-real Element of REAL
(- (x * (((1 / ((h * h) * f)) * (f / f)) + ((1 / ((h * f) * f)) * (h / h))))) + (x * (((1 / ((f * f) * z)) * (z / z)) + ((1 / ((f * z) * z)) * (f / f)))) is V11() V12() ext-real Element of REAL
((- (x * (((1 / ((h * h) * f)) * (f / f)) + ((1 / ((h * f) * f)) * (h / h))))) + (x * (((1 / ((f * f) * z)) * (z / z)) + ((1 / ((f * z) * z)) * (f / f))))) / (h - z) is V11() V12() ext-real Element of REAL
K37(((- (x * (((1 / ((h * h) * f)) * (f / f)) + ((1 / ((h * f) * f)) * (h / h))))) + (x * (((1 / ((f * f) * z)) * (z / z)) + ((1 / ((f * z) * z)) * (f / f))))),K39((h - z))) is V11() V12() ext-real set
(1 / ((h * h) * f)) * 1 is V11() V12() ext-real Element of REAL
((1 / ((h * h) * f)) * 1) + ((1 / ((h * f) * f)) * (h / h)) is V11() V12() ext-real Element of REAL
x * (((1 / ((h * h) * f)) * 1) + ((1 / ((h * f) * f)) * (h / h))) is V11() V12() ext-real Element of REAL
- (x * (((1 / ((h * h) * f)) * 1) + ((1 / ((h * f) * f)) * (h / h)))) is V11() V12() ext-real Element of REAL
(- (x * (((1 / ((h * h) * f)) * 1) + ((1 / ((h * f) * f)) * (h / h))))) + (x * (((1 / ((f * f) * z)) * (z / z)) + ((1 / ((f * z) * z)) * (f / f)))) is V11() V12() ext-real Element of REAL
((- (x * (((1 / ((h * h) * f)) * 1) + ((1 / ((h * f) * f)) * (h / h))))) + (x * (((1 / ((f * f) * z)) * (z / z)) + ((1 / ((f * z) * z)) * (f / f))))) / (h - z) is V11() V12() ext-real Element of REAL
K37(((- (x * (((1 / ((h * h) * f)) * 1) + ((1 / ((h * f) * f)) * (h / h))))) + (x * (((1 / ((f * f) * z)) * (z / z)) + ((1 / ((f * z) * z)) * (f / f))))),K39((h - z))) is V11() V12() ext-real set
(1 / ((f * f) * z)) * 1 is V11() V12() ext-real Element of REAL
((1 / ((f * f) * z)) * 1) + ((1 / ((f * z) * z)) * (f / f)) is V11() V12() ext-real Element of REAL
x * (((1 / ((f * f) * z)) * 1) + ((1 / ((f * z) * z)) * (f / f))) is V11() V12() ext-real Element of REAL
(- (x * (((1 / ((h * h) * f)) * 1) + ((1 / ((h * f) * f)) * (h / h))))) + (x * (((1 / ((f * f) * z)) * 1) + ((1 / ((f * z) * z)) * (f / f)))) is V11() V12() ext-real Element of REAL
((- (x * (((1 / ((h * h) * f)) * 1) + ((1 / ((h * f) * f)) * (h / h))))) + (x * (((1 / ((f * f) * z)) * 1) + ((1 / ((f * z) * z)) * (f / f))))) / (h - z) is V11() V12() ext-real Element of REAL
K37(((- (x * (((1 / ((h * h) * f)) * 1) + ((1 / ((h * f) * f)) * (h / h))))) + (x * (((1 / ((f * f) * z)) * 1) + ((1 / ((f * z) * z)) * (f / f))))),K39((h - z))) is V11() V12() ext-real set
(1 / ((h * f) * f)) * 1 is V11() V12() ext-real Element of REAL
((1 / ((h * h) * f)) * 1) + ((1 / ((h * f) * f)) * 1) is V11() V12() ext-real Element of REAL
x * (((1 / ((h * h) * f)) * 1) + ((1 / ((h * f) * f)) * 1)) is V11() V12() ext-real Element of REAL
- (x * (((1 / ((h * h) * f)) * 1) + ((1 / ((h * f) * f)) * 1))) is V11() V12() ext-real Element of REAL
(- (x * (((1 / ((h * h) * f)) * 1) + ((1 / ((h * f) * f)) * 1)))) + (x * (((1 / ((f * f) * z)) * 1) + ((1 / ((f * z) * z)) * (f / f)))) is V11() V12() ext-real Element of REAL
((- (x * (((1 / ((h * h) * f)) * 1) + ((1 / ((h * f) * f)) * 1)))) + (x * (((1 / ((f * f) * z)) * 1) + ((1 / ((f * z) * z)) * (f / f))))) / (h - z) is V11() V12() ext-real Element of REAL
K37(((- (x * (((1 / ((h * h) * f)) * 1) + ((1 / ((h * f) * f)) * 1)))) + (x * (((1 / ((f * f) * z)) * 1) + ((1 / ((f * z) * z)) * (f / f))))),K39((h - z))) is V11() V12() ext-real set
h * (h * f) is V11() V12() ext-real Element of REAL
1 / (h * (h * f)) is V11() V12() ext-real Element of REAL
K39((h * (h * f))) is V11() V12() ext-real set
K37(1,K39((h * (h * f)))) is V11() V12() ext-real set
(1 / (h * (h * f))) + (1 / ((h * f) * f)) is V11() V12() ext-real Element of REAL
x * ((1 / (h * (h * f))) + (1 / ((h * f) * f))) is V11() V12() ext-real Element of REAL
- (x * ((1 / (h * (h * f))) + (1 / ((h * f) * f)))) is V11() V12() ext-real Element of REAL
f * (f * z) is V11() V12() ext-real Element of REAL
1 / (f * (f * z)) is V11() V12() ext-real Element of REAL
K39((f * (f * z))) is V11() V12() ext-real set
K37(1,K39((f * (f * z)))) is V11() V12() ext-real set
(1 / (f * (f * z))) + (1 / ((f * z) * z)) is V11() V12() ext-real Element of REAL
x * ((1 / (f * (f * z))) + (1 / ((f * z) * z))) is V11() V12() ext-real Element of REAL
(- (x * ((1 / (h * (h * f))) + (1 / ((h * f) * f))))) + (x * ((1 / (f * (f * z))) + (1 / ((f * z) * z)))) is V11() V12() ext-real Element of REAL
((- (x * ((1 / (h * (h * f))) + (1 / ((h * f) * f))))) + (x * ((1 / (f * (f * z))) + (1 / ((f * z) * z))))) / (h - z) is V11() V12() ext-real Element of REAL
K37(((- (x * ((1 / (h * (h * f))) + (1 / ((h * f) * f))))) + (x * ((1 / (f * (f * z))) + (1 / ((f * z) * z))))),K39((h - z))) is V11() V12() ext-real set
1 / (h * f) is V11() V12() ext-real Element of REAL
K39((h * f)) is V11() V12() ext-real set
K37(1,K39((h * f))) is V11() V12() ext-real set
(1 / h) * (1 / (h * f)) is V11() V12() ext-real Element of REAL
((1 / h) * (1 / (h * f))) + (1 / ((h * f) * f)) is V11() V12() ext-real Element of REAL
x * (((1 / h) * (1 / (h * f))) + (1 / ((h * f) * f))) is V11() V12() ext-real Element of REAL
- (x * (((1 / h) * (1 / (h * f))) + (1 / ((h * f) * f)))) is V11() V12() ext-real Element of REAL
(- (x * (((1 / h) * (1 / (h * f))) + (1 / ((h * f) * f))))) + (x * ((1 / (f * (f * z))) + (1 / ((f * z) * z)))) is V11() V12() ext-real Element of REAL
((- (x * (((1 / h) * (1 / (h * f))) + (1 / ((h * f) * f))))) + (x * ((1 / (f * (f * z))) + (1 / ((f * z) * z))))) / (h - z) is V11() V12() ext-real Element of REAL
K37(((- (x * (((1 / h) * (1 / (h * f))) + (1 / ((h * f) * f))))) + (x * ((1 / (f * (f * z))) + (1 / ((f * z) * z))))),K39((h - z))) is V11() V12() ext-real set
1 / (f * z) is V11() V12() ext-real Element of REAL
K39((f * z)) is V11() V12() ext-real set
K37(1,K39((f * z))) is V11() V12() ext-real set
(1 / f) * (1 / (f * z)) is V11() V12() ext-real Element of REAL
((1 / f) * (1 / (f * z))) + (1 / ((f * z) * z)) is V11() V12() ext-real Element of REAL
x * (((1 / f) * (1 / (f * z))) + (1 / ((f * z) * z))) is V11() V12() ext-real Element of REAL
(- (x * (((1 / h) * (1 / (h * f))) + (1 / ((h * f) * f))))) + (x * (((1 / f) * (1 / (f * z))) + (1 / ((f * z) * z)))) is V11() V12() ext-real Element of REAL
((- (x * (((1 / h) * (1 / (h * f))) + (1 / ((h * f) * f))))) + (x * (((1 / f) * (1 / (f * z))) + (1 / ((f * z) * z))))) / (h - z) is V11() V12() ext-real Element of REAL
K37(((- (x * (((1 / h) * (1 / (h * f))) + (1 / ((h * f) * f))))) + (x * (((1 / f) * (1 / (f * z))) + (1 / ((f * z) * z))))),K39((h - z))) is V11() V12() ext-real set
(1 / (h * f)) * (1 / f) is V11() V12() ext-real Element of REAL
((1 / h) * (1 / (h * f))) + ((1 / (h * f)) * (1 / f)) is V11() V12() ext-real Element of REAL
x * (((1 / h) * (1 / (h * f))) + ((1 / (h * f)) * (1 / f))) is V11() V12() ext-real Element of REAL
- (x * (((1 / h) * (1 / (h * f))) + ((1 / (h * f)) * (1 / f)))) is V11() V12() ext-real Element of REAL
(- (x * (((1 / h) * (1 / (h * f))) + ((1 / (h * f)) * (1 / f))))) + (x * (((1 / f) * (1 / (f * z))) + (1 / ((f * z) * z)))) is V11() V12() ext-real Element of REAL
((- (x * (((1 / h) * (1 / (h * f))) + ((1 / (h * f)) * (1 / f))))) + (x * (((1 / f) * (1 / (f * z))) + (1 / ((f * z) * z))))) / (h - z) is V11() V12() ext-real Element of REAL
K37(((- (x * (((1 / h) * (1 / (h * f))) + ((1 / (h * f)) * (1 / f))))) + (x * (((1 / f) * (1 / (f * z))) + (1 / ((f * z) * z))))),K39((h - z))) is V11() V12() ext-real set
x * (1 / (h * f)) is V11() V12() ext-real Element of REAL
(x * (1 / (h * f))) * ((1 / h) + (1 / f)) is V11() V12() ext-real Element of REAL
- ((x * (1 / (h * f))) * ((1 / h) + (1 / f))) is V11() V12() ext-real Element of REAL
(1 / (f * z)) * (1 / z) is V11() V12() ext-real Element of REAL
((1 / f) * (1 / (f * z))) + ((1 / (f * z)) * (1 / z)) is V11() V12() ext-real Element of REAL
x * (((1 / f) * (1 / (f * z))) + ((1 / (f * z)) * (1 / z))) is V11() V12() ext-real Element of REAL
(- ((x * (1 / (h * f))) * ((1 / h) + (1 / f)))) + (x * (((1 / f) * (1 / (f * z))) + ((1 / (f * z)) * (1 / z)))) is V11() V12() ext-real Element of REAL
((- ((x * (1 / (h * f))) * ((1 / h) + (1 / f)))) + (x * (((1 / f) * (1 / (f * z))) + ((1 / (f * z)) * (1 / z))))) / (h - z) is V11() V12() ext-real Element of REAL
K37(((- ((x * (1 / (h * f))) * ((1 / h) + (1 / f)))) + (x * (((1 / f) * (1 / (f * z))) + ((1 / (f * z)) * (1 / z))))),K39((h - z))) is V11() V12() ext-real set
(1 / (f * z)) / (h - z) is V11() V12() ext-real Element of REAL
K37((1 / (f * z)),K39((h - z))) is V11() V12() ext-real set
(1 / f) + (1 / z) is V11() V12() ext-real Element of REAL
((1 / (f * z)) / (h - z)) * ((1 / f) + (1 / z)) is V11() V12() ext-real Element of REAL
(1 / (h * f)) / (h - z) is V11() V12() ext-real Element of REAL
K37((1 / (h * f)),K39((h - z))) is V11() V12() ext-real set
((1 / (h * f)) / (h - z)) * ((1 / h) + (1 / f)) is V11() V12() ext-real Element of REAL
(((1 / (f * z)) / (h - z)) * ((1 / f) + (1 / z))) - (((1 / (h * f)) / (h - z)) * ((1 / h) + (1 / f))) is V11() V12() ext-real Element of REAL
K38((((1 / (h * f)) / (h - z)) * ((1 / h) + (1 / f)))) is V11() V12() ext-real set
K36((((1 / (f * z)) / (h - z)) * ((1 / f) + (1 / z))),K38((((1 / (h * f)) / (h - z)) * ((1 / h) + (1 / f))))) is V11() V12() ext-real set
x * ((((1 / (f * z)) / (h - z)) * ((1 / f) + (1 / z))) - (((1 / (h * f)) / (h - z)) * ((1 / h) + (1 / f)))) is V11() V12() ext-real Element of REAL
(f * z) * (h - z) is V11() V12() ext-real Element of REAL
1 / ((f * z) * (h - z)) is V11() V12() ext-real Element of REAL
K39(((f * z) * (h - z))) is V11() V12() ext-real set
K37(1,K39(((f * z) * (h - z)))) is V11() V12() ext-real set
(1 / ((f * z) * (h - z))) * ((1 / f) + (1 / z)) is V11() V12() ext-real Element of REAL
((1 / ((f * z) * (h - z))) * ((1 / f) + (1 / z))) - (((1 / (h * f)) / (h - z)) * ((1 / h) + (1 / f))) is V11() V12() ext-real Element of REAL
K36(((1 / ((f * z) * (h - z))) * ((1 / f) + (1 / z))),K38((((1 / (h * f)) / (h - z)) * ((1 / h) + (1 / f))))) is V11() V12() ext-real set
x * (((1 / ((f * z) * (h - z))) * ((1 / f) + (1 / z))) - (((1 / (h * f)) / (h - z)) * ((1 / h) + (1 / f)))) is V11() V12() ext-real Element of REAL
(h * f) * (h - z) is V11() V12() ext-real Element of REAL
1 / ((h * f) * (h - z)) is V11() V12() ext-real Element of REAL
K39(((h * f) * (h - z))) is V11() V12() ext-real set
K37(1,K39(((h * f) * (h - z)))) is V11() V12() ext-real set
(1 / ((h * f) * (h - z))) * ((1 / h) + (1 / f)) is V11() V12() ext-real Element of REAL
((1 / ((f * z) * (h - z))) * ((1 / f) + (1 / z))) - ((1 / ((h * f) * (h - z))) * ((1 / h) + (1 / f))) is V11() V12() ext-real Element of REAL
K38(((1 / ((h * f) * (h - z))) * ((1 / h) + (1 / f)))) is V11() V12() ext-real set
K36(((1 / ((f * z) * (h - z))) * ((1 / f) + (1 / z))),K38(((1 / ((h * f) * (h - z))) * ((1 / h) + (1 / f))))) is V11() V12() ext-real set
x * (((1 / ((f * z) * (h - z))) * ((1 / f) + (1 / z))) - ((1 / ((h * f) * (h - z))) * ((1 / h) + (1 / f)))) is V11() V12() ext-real Element of REAL
1 * z is V11() V12() ext-real Element of REAL
1 * f is V11() V12() ext-real Element of REAL
(1 * z) + (1 * f) is V11() V12() ext-real Element of REAL
((1 * z) + (1 * f)) / (f * z) is V11() V12() ext-real Element of REAL
K37(((1 * z) + (1 * f)),K39((f * z))) is V11() V12() ext-real set
(1 / ((f * z) * (h - z))) * (((1 * z) + (1 * f)) / (f * z)) is V11() V12() ext-real Element of REAL
((1 / ((f * z) * (h - z))) * (((1 * z) + (1 * f)) / (f * z))) - ((1 / ((h * f) * (h - z))) * ((1 / h) + (1 / f))) is V11() V12() ext-real Element of REAL
K36(((1 / ((f * z) * (h - z))) * (((1 * z) + (1 * f)) / (f * z))),K38(((1 / ((h * f) * (h - z))) * ((1 / h) + (1 / f))))) is V11() V12() ext-real set
x * (((1 / ((f * z) * (h - z))) * (((1 * z) + (1 * f)) / (f * z))) - ((1 / ((h * f) * (h - z))) * ((1 / h) + (1 / f)))) is V11() V12() ext-real Element of REAL
1 * h is V11() V12() ext-real Element of REAL
(1 * f) + (1 * h) is V11() V12() ext-real Element of REAL
((1 * f) + (1 * h)) / (h * f) is V11() V12() ext-real Element of REAL
K37(((1 * f) + (1 * h)),K39((h * f))) is V11() V12() ext-real set
(1 / ((h * f) * (h - z))) * (((1 * f) + (1 * h)) / (h * f)) is V11() V12() ext-real Element of REAL
((1 / ((f * z) * (h - z))) * (((1 * z) + (1 * f)) / (f * z))) - ((1 / ((h * f) * (h - z))) * (((1 * f) + (1 * h)) / (h * f))) is V11() V12() ext-real Element of REAL
K38(((1 / ((h * f) * (h - z))) * (((1 * f) + (1 * h)) / (h * f)))) is V11() V12() ext-real set
K36(((1 / ((f * z) * (h - z))) * (((1 * z) + (1 * f)) / (f * z))),K38(((1 / ((h * f) * (h - z))) * (((1 * f) + (1 * h)) / (h * f))))) is V11() V12() ext-real set
x * (((1 / ((f * z) * (h - z))) * (((1 * z) + (1 * f)) / (f * z))) - ((1 / ((h * f) * (h - z))) * (((1 * f) + (1 * h)) / (h * f)))) is V11() V12() ext-real Element of REAL
(f * z) / (z + f) is V11() V12() ext-real Element of REAL
K39((z + f)) is V11() V12() ext-real set
K37((f * z),K39((z + f))) is V11() V12() ext-real set
(1 / ((f * z) * (h - z))) / ((f * z) / (z + f)) is V11() V12() ext-real Element of REAL
K39(((f * z) / (z + f))) is V11() V12() ext-real set
K37((1 / ((f * z) * (h - z))),K39(((f * z) / (z + f)))) is V11() V12() ext-real set
(f + h) / (h * f) is V11() V12() ext-real Element of REAL
K37((f + h),K39((h * f))) is V11() V12() ext-real set
(1 / ((h * f) * (h - z))) * ((f + h) / (h * f)) is V11() V12() ext-real Element of REAL
((1 / ((f * z) * (h - z))) / ((f * z) / (z + f))) - ((1 / ((h * f) * (h - z))) * ((f + h) / (h * f))) is V11() V12() ext-real Element of REAL
K38(((1 / ((h * f) * (h - z))) * ((f + h) / (h * f)))) is V11() V12() ext-real set
K36(((1 / ((f * z) * (h - z))) / ((f * z) / (z + f))),K38(((1 / ((h * f) * (h - z))) * ((f + h) / (h * f))))) is V11() V12() ext-real set
x * (((1 / ((f * z) * (h - z))) / ((f * z) / (z + f))) - ((1 / ((h * f) * (h - z))) * ((f + h) / (h * f)))) is V11() V12() ext-real Element of REAL
(h * f) / (f + h) is V11() V12() ext-real Element of REAL
K39((f + h)) is V11() V12() ext-real set
K37((h * f),K39((f + h))) is V11() V12() ext-real set
(1 / ((h * f) * (h - z))) / ((h * f) / (f + h)) is V11() V12() ext-real Element of REAL
K39(((h * f) / (f + h))) is V11() V12() ext-real set
K37((1 / ((h * f) * (h - z))),K39(((h * f) / (f + h)))) is V11() V12() ext-real set
((1 / ((f * z) * (h - z))) / ((f * z) / (z + f))) - ((1 / ((h * f) * (h - z))) / ((h * f) / (f + h))) is V11() V12() ext-real Element of REAL
K38(((1 / ((h * f) * (h - z))) / ((h * f) / (f + h)))) is V11() V12() ext-real set
K36(((1 / ((f * z) * (h - z))) / ((f * z) / (z + f))),K38(((1 / ((h * f) * (h - z))) / ((h * f) / (f + h))))) is V11() V12() ext-real set
x * (((1 / ((f * z) * (h - z))) / ((f * z) / (z + f))) - ((1 / ((h * f) * (h - z))) / ((h * f) / (f + h)))) is V11() V12() ext-real Element of REAL
(1 / ((f * z) * (h - z))) / (f * z) is V11() V12() ext-real Element of REAL
K37((1 / ((f * z) * (h - z))),K39((f * z))) is V11() V12() ext-real set
((1 / ((f * z) * (h - z))) / (f * z)) * (z + f) is V11() V12() ext-real Element of REAL
(((1 / ((f * z) * (h - z))) / (f * z)) * (z + f)) - ((1 / ((h * f) * (h - z))) / ((h * f) / (f + h))) is V11() V12() ext-real Element of REAL
K36((((1 / ((f * z) * (h - z))) / (f * z)) * (z + f)),K38(((1 / ((h * f) * (h - z))) / ((h * f) / (f + h))))) is V11() V12() ext-real set
x * ((((1 / ((f * z) * (h - z))) / (f * z)) * (z + f)) - ((1 / ((h * f) * (h - z))) / ((h * f) / (f + h)))) is V11() V12() ext-real Element of REAL
(1 / ((h * f) * (h - z))) / (h * f) is V11() V12() ext-real Element of REAL
K37((1 / ((h * f) * (h - z))),K39((h * f))) is V11() V12() ext-real set
((1 / ((h * f) * (h - z))) / (h * f)) * (f + h) is V11() V12() ext-real Element of REAL
(((1 / ((f * z) * (h - z))) / (f * z)) * (z + f)) - (((1 / ((h * f) * (h - z))) / (h * f)) * (f + h)) is V11() V12() ext-real Element of REAL
K38((((1 / ((h * f) * (h - z))) / (h * f)) * (f + h))) is V11() V12() ext-real set
K36((((1 / ((f * z) * (h - z))) / (f * z)) * (z + f)),K38((((1 / ((h * f) * (h - z))) / (h * f)) * (f + h)))) is V11() V12() ext-real set
x * ((((1 / ((f * z) * (h - z))) / (f * z)) * (z + f)) - (((1 / ((h * f) * (h - z))) / (h * f)) * (f + h))) is V11() V12() ext-real Element of REAL
(z + f) / ((f * z) * (h - z)) is V11() V12() ext-real Element of REAL
K37((z + f),K39(((f * z) * (h - z)))) is V11() V12() ext-real set
((z + f) / ((f * z) * (h - z))) / (f * z) is V11() V12() ext-real Element of REAL
K37(((z + f) / ((f * z) * (h - z))),K39((f * z))) is V11() V12() ext-real set
(f + h) / ((h * f) * (h - z)) is V11() V12() ext-real Element of REAL
K37((f + h),K39(((h * f) * (h - z)))) is V11() V12() ext-real set
((f + h) / ((h * f) * (h - z))) / (h * f) is V11() V12() ext-real Element of REAL
K37(((f + h) / ((h * f) * (h - z))),K39((h * f))) is V11() V12() ext-real set
(((z + f) / ((f * z) * (h - z))) / (f * z)) - (((f + h) / ((h * f) * (h - z))) / (h * f)) is V11() V12() ext-real Element of REAL
K38((((f + h) / ((h * f) * (h - z))) / (h * f))) is V11() V12() ext-real set
K36((((z + f) / ((f * z) * (h - z))) / (f * z)),K38((((f + h) / ((h * f) * (h - z))) / (h * f)))) is V11() V12() ext-real set
x * ((((z + f) / ((f * z) * (h - z))) / (f * z)) - (((f + h) / ((h * f) * (h - z))) / (h * f))) is V11() V12() ext-real Element of REAL
((f * z) * (h - z)) * (f * z) is V11() V12() ext-real Element of REAL
(z + f) / (((f * z) * (h - z)) * (f * z)) is V11() V12() ext-real Element of REAL
K39((((f * z) * (h - z)) * (f * z))) is V11() V12() ext-real set
K37((z + f),K39((((f * z) * (h - z)) * (f * z)))) is V11() V12() ext-real set
((z + f) / (((f * z) * (h - z)) * (f * z))) - (((f + h) / ((h * f) * (h - z))) / (h * f)) is V11() V12() ext-real Element of REAL
K36(((z + f) / (((f * z) * (h - z)) * (f * z))),K38((((f + h) / ((h * f) * (h - z))) / (h * f)))) is V11() V12() ext-real set
x * (((z + f) / (((f * z) * (h - z)) * (f * z))) - (((f + h) / ((h * f) * (h - z))) / (h * f))) is V11() V12() ext-real Element of REAL
((h * f) * (h - z)) * (h * f) is V11() V12() ext-real Element of REAL
(f + h) / (((h * f) * (h - z)) * (h * f)) is V11() V12() ext-real Element of REAL
K39((((h * f) * (h - z)) * (h * f))) is V11() V12() ext-real set
K37((f + h),K39((((h * f) * (h - z)) * (h * f)))) is V11() V12() ext-real set
((z + f) / (((f * z) * (h - z)) * (f * z))) - ((f + h) / (((h * f) * (h - z)) * (h * f))) is V11() V12() ext-real Element of REAL
K38(((f + h) / (((h * f) * (h - z)) * (h * f)))) is V11() V12() ext-real set
K36(((z + f) / (((f * z) * (h - z)) * (f * z))),K38(((f + h) / (((h * f) * (h - z)) * (h * f))))) is V11() V12() ext-real set
x * (((z + f) / (((f * z) * (h - z)) * (f * z))) - ((f + h) / (((h * f) * (h - z)) * (h * f)))) is V11() V12() ext-real Element of REAL
(f ^2) * (h - z) is V11() V12() ext-real Element of REAL
((f ^2) * (h - z)) * (z ^2) is V11() V12() ext-real Element of REAL
(z + f) / (((f ^2) * (h - z)) * (z ^2)) is V11() V12() ext-real Element of REAL
K39((((f ^2) * (h - z)) * (z ^2))) is V11() V12() ext-real set
K37((z + f),K39((((f ^2) * (h - z)) * (z ^2)))) is V11() V12() ext-real set
((f ^2) * (h - z)) * (h ^2) is V11() V12() ext-real Element of REAL
(f + h) / (((f ^2) * (h - z)) * (h ^2)) is V11() V12() ext-real Element of REAL
K39((((f ^2) * (h - z)) * (h ^2))) is V11() V12() ext-real set
K37((f + h),K39((((f ^2) * (h - z)) * (h ^2)))) is V11() V12() ext-real set
((z + f) / (((f ^2) * (h - z)) * (z ^2))) - ((f + h) / (((f ^2) * (h - z)) * (h ^2))) is V11() V12() ext-real Element of REAL
K38(((f + h) / (((f ^2) * (h - z)) * (h ^2)))) is V11() V12() ext-real set
K36(((z + f) / (((f ^2) * (h - z)) * (z ^2))),K38(((f + h) / (((f ^2) * (h - z)) * (h ^2))))) is V11() V12() ext-real set
x * (((z + f) / (((f ^2) * (h - z)) * (z ^2))) - ((f + h) / (((f ^2) * (h - z)) * (h ^2)))) is V11() V12() ext-real Element of REAL
(z + f) / ((f ^2) * (h - z)) is V11() V12() ext-real Element of REAL
K39(((f ^2) * (h - z))) is V11() V12() ext-real set
K37((z + f),K39(((f ^2) * (h - z)))) is V11() V12() ext-real set
((z + f) / ((f ^2) * (h - z))) / (z ^2) is V11() V12() ext-real Element of REAL
K37(((z + f) / ((f ^2) * (h - z))),K39((z ^2))) is V11() V12() ext-real set
(((z + f) / ((f ^2) * (h - z))) / (z ^2)) - ((f + h) / (((f ^2) * (h - z)) * (h ^2))) is V11() V12() ext-real Element of REAL
K36((((z + f) / ((f ^2) * (h - z))) / (z ^2)),K38(((f + h) / (((f ^2) * (h - z)) * (h ^2))))) is V11() V12() ext-real set
x * ((((z + f) / ((f ^2) * (h - z))) / (z ^2)) - ((f + h) / (((f ^2) * (h - z)) * (h ^2)))) is V11() V12() ext-real Element of REAL
1 / ((f ^2) * (h - z)) is V11() V12() ext-real Element of REAL
K37(1,K39(((f ^2) * (h - z)))) is V11() V12() ext-real set
(z + f) / (z ^2) is V11() V12() ext-real Element of REAL
K37((z + f),K39((z ^2))) is V11() V12() ext-real set
(1 / ((f ^2) * (h - z))) * ((z + f) / (z ^2)) is V11() V12() ext-real Element of REAL
(f + h) / ((f ^2) * (h - z)) is V11() V12() ext-real Element of REAL
K37((f + h),K39(((f ^2) * (h - z)))) is V11() V12() ext-real set
((f + h) / ((f ^2) * (h - z))) / (h ^2) is V11() V12() ext-real Element of REAL
K37(((f + h) / ((f ^2) * (h - z))),K39((h ^2))) is V11() V12() ext-real set
((1 / ((f ^2) * (h - z))) * ((z + f) / (z ^2))) - (((f + h) / ((f ^2) * (h - z))) / (h ^2)) is V11() V12() ext-real Element of REAL
K38((((f + h) / ((f ^2) * (h - z))) / (h ^2))) is V11() V12() ext-real set
K36(((1 / ((f ^2) * (h - z))) * ((z + f) / (z ^2))),K38((((f + h) / ((f ^2) * (h - z))) / (h ^2)))) is V11() V12() ext-real set
x * (((1 / ((f ^2) * (h - z))) * ((z + f) / (z ^2))) - (((f + h) / ((f ^2) * (h - z))) / (h ^2))) is V11() V12() ext-real Element of REAL
(f + h) / (h ^2) is V11() V12() ext-real Element of REAL
K37((f + h),K39((h ^2))) is V11() V12() ext-real set
((z + f) / (z ^2)) - ((f + h) / (h ^2)) is V11() V12() ext-real Element of REAL
K38(((f + h) / (h ^2))) is V11() V12() ext-real set
K36(((z + f) / (z ^2)),K38(((f + h) / (h ^2)))) is V11() V12() ext-real set
(1 / ((f ^2) * (h - z))) * (((z + f) / (z ^2)) - ((f + h) / (h ^2))) is V11() V12() ext-real Element of REAL
x * ((1 / ((f ^2) * (h - z))) * (((z + f) / (z ^2)) - ((f + h) / (h ^2)))) is V11() V12() ext-real Element of REAL
(z + f) * (h ^2) is V11() V12() ext-real Element of REAL
(f + h) * (z ^2) is V11() V12() ext-real Element of REAL
((z + f) * (h ^2)) - ((f + h) * (z ^2)) is V11() V12() ext-real Element of REAL
K38(((f + h) * (z ^2))) is V11() V12() ext-real set
K36(((z + f) * (h ^2)),K38(((f + h) * (z ^2)))) is V11() V12() ext-real set
(z ^2) * (h ^2) is V11() V12() ext-real Element of REAL
(((z + f) * (h ^2)) - ((f + h) * (z ^2))) / ((z ^2) * (h ^2)) is V11() V12() ext-real Element of REAL
K39(((z ^2) * (h ^2))) is V11() V12() ext-real set
K37((((z + f) * (h ^2)) - ((f + h) * (z ^2))),K39(((z ^2) * (h ^2)))) is V11() V12() ext-real set
(1 / ((f ^2) * (h - z))) * ((((z + f) * (h ^2)) - ((f + h) * (z ^2))) / ((z ^2) * (h ^2))) is V11() V12() ext-real Element of REAL
x * ((1 / ((f ^2) * (h - z))) * ((((z + f) * (h ^2)) - ((f + h) * (z ^2))) / ((z ^2) * (h ^2)))) is V11() V12() ext-real Element of REAL
1 * (h - z) is V11() V12() ext-real Element of REAL
(1 * (h - z)) / ((f ^2) * (h - z)) is V11() V12() ext-real Element of REAL
K37((1 * (h - z)),K39(((f ^2) * (h - z)))) is V11() V12() ext-real set
h + z is V11() V12() ext-real Element of REAL
f * (h + z) is V11() V12() ext-real Element of REAL
h * z is V11() V12() ext-real Element of REAL
(f * (h + z)) + (h * z) is V11() V12() ext-real Element of REAL
((1 * (h - z)) / ((f ^2) * (h - z))) * ((f * (h + z)) + (h * z)) is V11() V12() ext-real Element of REAL
(((1 * (h - z)) / ((f ^2) * (h - z))) * ((f * (h + z)) + (h * z))) / ((z ^2) * (h ^2)) is V11() V12() ext-real Element of REAL
K37((((1 * (h - z)) / ((f ^2) * (h - z))) * ((f * (h + z)) + (h * z))),K39(((z ^2) * (h ^2)))) is V11() V12() ext-real set
x * ((((1 * (h - z)) / ((f ^2) * (h - z))) * ((f * (h + z)) + (h * z))) / ((z ^2) * (h ^2))) is V11() V12() ext-real Element of REAL
f * h is V11() V12() ext-real Element of REAL
(f * h) + (f * z) is V11() V12() ext-real Element of REAL
((f * h) + (f * z)) + (h * z) is V11() V12() ext-real Element of REAL
(1 / (f ^2)) * (((f * h) + (f * z)) + (h * z)) is V11() V12() ext-real Element of REAL
((1 / (f ^2)) * (((f * h) + (f * z)) + (h * z))) / ((z ^2) * (h ^2)) is V11() V12() ext-real Element of REAL
K37(((1 / (f ^2)) * (((f * h) + (f * z)) + (h * z))),K39(((z ^2) * (h ^2)))) is V11() V12() ext-real set
x * (((1 / (f ^2)) * (((f * h) + (f * z)) + (h * z))) / ((z ^2) * (h ^2))) is V11() V12() ext-real Element of REAL
(((f * h) + (f * z)) + (h * z)) / (f ^2) is V11() V12() ext-real Element of REAL
K37((((f * h) + (f * z)) + (h * z)),K39((f ^2))) is V11() V12() ext-real set
((((f * h) + (f * z)) + (h * z)) / (f ^2)) / ((z ^2) * (h ^2)) is V11() V12() ext-real Element of REAL
K37(((((f * h) + (f * z)) + (h * z)) / (f ^2)),K39(((z ^2) * (h ^2)))) is V11() V12() ext-real set
x * (((((f * h) + (f * z)) + (h * z)) / (f ^2)) / ((z ^2) * (h ^2))) is V11() V12() ext-real Element of REAL
(f ^2) * ((z ^2) * (h ^2)) is V11() V12() ext-real Element of REAL
(((f * h) + (f * z)) + (h * z)) / ((f ^2) * ((z ^2) * (h ^2))) is V11() V12() ext-real Element of REAL
K39(((f ^2) * ((z ^2) * (h ^2)))) is V11() V12() ext-real set
K37((((f * h) + (f * z)) + (h * z)),K39(((f ^2) * ((z ^2) * (h ^2))))) is V11() V12() ext-real set
x * ((((f * h) + (f * z)) + (h * z)) / ((f ^2) * ((z ^2) * (h ^2)))) is V11() V12() ext-real Element of REAL
1 * (f * h) is V11() V12() ext-real Element of REAL
f * (z ^2) is V11() V12() ext-real Element of REAL
(f * (z ^2)) * h is V11() V12() ext-real Element of REAL
((f * (z ^2)) * h) * (f * h) is V11() V12() ext-real Element of REAL
(1 * (f * h)) / (((f * (z ^2)) * h) * (f * h)) is V11() V12() ext-real Element of REAL
K39((((f * (z ^2)) * h) * (f * h))) is V11() V12() ext-real set
K37((1 * (f * h)),K39((((f * (z ^2)) * h) * (f * h)))) is V11() V12() ext-real set
1 * (f * z) is V11() V12() ext-real Element of REAL
(f * z) * (h ^2) is V11() V12() ext-real Element of REAL
((f * z) * (h ^2)) * (f * z) is V11() V12() ext-real Element of REAL
(1 * (f * z)) / (((f * z) * (h ^2)) * (f * z)) is V11() V12() ext-real Element of REAL
K39((((f * z) * (h ^2)) * (f * z))) is V11() V12() ext-real set
K37((1 * (f * z)),K39((((f * z) * (h ^2)) * (f * z)))) is V11() V12() ext-real set
((1 * (f * h)) / (((f * (z ^2)) * h) * (f * h))) + ((1 * (f * z)) / (((f * z) * (h ^2)) * (f * z))) is V11() V12() ext-real Element of REAL
1 * (h * z) is V11() V12() ext-real Element of REAL
(f ^2) * z is V11() V12() ext-real Element of REAL
((f ^2) * z) * h is V11() V12() ext-real Element of REAL
(((f ^2) * z) * h) * (h * z) is V11() V12() ext-real Element of REAL
(1 * (h * z)) / ((((f ^2) * z) * h) * (h * z)) is V11() V12() ext-real Element of REAL
K39(((((f ^2) * z) * h) * (h * z))) is V11() V12() ext-real set
K37((1 * (h * z)),K39(((((f ^2) * z) * h) * (h * z)))) is V11() V12() ext-real set
(((1 * (f * h)) / (((f * (z ^2)) * h) * (f * h))) + ((1 * (f * z)) / (((f * z) * (h ^2)) * (f * z)))) + ((1 * (h * z)) / ((((f ^2) * z) * h) * (h * z))) is V11() V12() ext-real Element of REAL
x * ((((1 * (f * h)) / (((f * (z ^2)) * h) * (f * h))) + ((1 * (f * z)) / (((f * z) * (h ^2)) * (f * z)))) + ((1 * (h * z)) / ((((f ^2) * z) * h) * (h * z)))) is V11() V12() ext-real Element of REAL
1 / ((f * (z ^2)) * h) is V11() V12() ext-real Element of REAL
K39(((f * (z ^2)) * h)) is V11() V12() ext-real set
K37(1,K39(((f * (z ^2)) * h))) is V11() V12() ext-real set
(1 / ((f * (z ^2)) * h)) + ((1 * (f * z)) / (((f * z) * (h ^2)) * (f * z))) is V11() V12() ext-real Element of REAL
((1 / ((f * (z ^2)) * h)) + ((1 * (f * z)) / (((f * z) * (h ^2)) * (f * z)))) + ((1 * (h * z)) / ((((f ^2) * z) * h) * (h * z))) is V11() V12() ext-real Element of REAL
x * (((1 / ((f * (z ^2)) * h)) + ((1 * (f * z)) / (((f * z) * (h ^2)) * (f * z)))) + ((1 * (h * z)) / ((((f ^2) * z) * h) * (h * z)))) is V11() V12() ext-real Element of REAL
1 / ((f * z) * (h ^2)) is V11() V12() ext-real Element of REAL
K39(((f * z) * (h ^2))) is V11() V12() ext-real set
K37(1,K39(((f * z) * (h ^2)))) is V11() V12() ext-real set
(1 / ((f * (z ^2)) * h)) + (1 / ((f * z) * (h ^2))) is V11() V12() ext-real Element of REAL
((1 / ((f * (z ^2)) * h)) + (1 / ((f * z) * (h ^2)))) + ((1 * (h * z)) / ((((f ^2) * z) * h) * (h * z))) is V11() V12() ext-real Element of REAL
x * (((1 / ((f * (z ^2)) * h)) + (1 / ((f * z) * (h ^2)))) + ((1 * (h * z)) / ((((f ^2) * z) * h) * (h * z)))) is V11() V12() ext-real Element of REAL
(f * z) * h is V11() V12() ext-real Element of REAL
((f * z) * h) * z is V11() V12() ext-real Element of REAL
1 / (((f * z) * h) * z) is V11() V12() ext-real Element of REAL
K39((((f * z) * h) * z)) is V11() V12() ext-real set
K37(1,K39((((f * z) * h) * z))) is V11() V12() ext-real set
((f * z) * h) * h is V11() V12() ext-real Element of REAL
1 / (((f * z) * h) * h) is V11() V12() ext-real Element of REAL
K39((((f * z) * h) * h)) is V11() V12() ext-real set
K37(1,K39((((f * z) * h) * h))) is V11() V12() ext-real set
(1 / (((f * z) * h) * z)) + (1 / (((f * z) * h) * h)) is V11() V12() ext-real Element of REAL
((f * z) * h) * f is V11() V12() ext-real Element of REAL
1 / (((f * z) * h) * f) is V11() V12() ext-real Element of REAL
K39((((f * z) * h) * f)) is V11() V12() ext-real set
K37(1,K39((((f * z) * h) * f))) is V11() V12() ext-real set
((1 / (((f * z) * h) * z)) + (1 / (((f * z) * h) * h))) + (1 / (((f * z) * h) * f)) is V11() V12() ext-real Element of REAL
x * (((1 / (((f * z) * h) * z)) + (1 / (((f * z) * h) * h))) + (1 / (((f * z) * h) * f))) is V11() V12() ext-real Element of REAL
1 / ((f * z) * h) is V11() V12() ext-real Element of REAL
K39(((f * z) * h)) is V11() V12() ext-real set
K37(1,K39(((f * z) * h))) is V11() V12() ext-real set
(1 / ((f * z) * h)) * (1 / z) is V11() V12() ext-real Element of REAL
((1 / ((f * z) * h)) * (1 / z)) + (1 / (((f * z) * h) * h)) is V11() V12() ext-real Element of REAL
(((1 / ((f * z) * h)) * (1 / z)) + (1 / (((f * z) * h) * h))) + (1 / (((f * z) * h) * f)) is V11() V12() ext-real Element of REAL
x * ((((1 / ((f * z) * h)) * (1 / z)) + (1 / (((f * z) * h) * h))) + (1 / (((f * z) * h) * f))) is V11() V12() ext-real Element of REAL
(1 / ((f * z) * h)) * (1 / h) is V11() V12() ext-real Element of REAL
((1 / ((f * z) * h)) * (1 / z)) + ((1 / ((f * z) * h)) * (1 / h)) is V11() V12() ext-real Element of REAL
(((1 / ((f * z) * h)) * (1 / z)) + ((1 / ((f * z) * h)) * (1 / h))) + (1 / (((f * z) * h) * f)) is V11() V12() ext-real Element of REAL
x * ((((1 / ((f * z) * h)) * (1 / z)) + ((1 / ((f * z) * h)) * (1 / h))) + (1 / (((f * z) * h) * f))) is V11() V12() ext-real Element of REAL
(1 / ((f * z) * h)) * (1 / f) is V11() V12() ext-real Element of REAL
(((1 / ((f * z) * h)) * (1 / z)) + ((1 / ((f * z) * h)) * (1 / h))) + ((1 / ((f * z) * h)) * (1 / f)) is V11() V12() ext-real Element of REAL
x * ((((1 / ((f * z) * h)) * (1 / z)) + ((1 / ((f * z) * h)) * (1 / h))) + ((1 / ((f * z) * h)) * (1 / f))) is V11() V12() ext-real Element of REAL
x is V11() V12() ext-real Element of REAL
- x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
2 * h is V11() V12() ext-real Element of REAL
h ^2 is V11() V12() ext-real Element of REAL
K37(h,h) is V11() V12() ext-real set
f is V11() V12() ext-real Element of REAL
h + f is V11() V12() ext-real Element of REAL
(- x) * f is V11() V12() ext-real Element of REAL
(2 * h) + f is V11() V12() ext-real Element of REAL
((- x) * f) * ((2 * h) + f) is V11() V12() ext-real Element of REAL
f * h is V11() V12() ext-real Element of REAL
(h ^2) + (f * h) is V11() V12() ext-real Element of REAL
((h ^2) + (f * h)) ^2 is V11() V12() ext-real Element of REAL
K37(((h ^2) + (f * h)),((h ^2) + (f * h))) is V11() V12() ext-real set
(((- x) * f) * ((2 * h) + f)) / (((h ^2) + (f * h)) ^2) is V11() V12() ext-real Element of REAL
K39((((h ^2) + (f * h)) ^2)) is V11() V12() ext-real set
K37((((- x) * f) * ((2 * h) + f)),K39((((h ^2) + (f * h)) ^2))) is V11() V12() ext-real set
z is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
fD (z,f) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (z,f) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (z,f)) - z is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(fD (z,f)) . h is V11() V12() ext-real Element of REAL
z . (h + f) is V11() V12() ext-real Element of REAL
z . h is V11() V12() ext-real Element of REAL
(z . (h + f)) - (z . h) is V11() V12() ext-real Element of REAL
K38((z . h)) is V11() V12() ext-real set
K36((z . (h + f)),K38((z . h))) is V11() V12() ext-real set
(h + f) ^2 is V11() V12() ext-real Element of REAL
K37((h + f),(h + f)) is V11() V12() ext-real set
x / ((h + f) ^2) is V11() V12() ext-real Element of REAL
K39(((h + f) ^2)) is V11() V12() ext-real set
K37(x,K39(((h + f) ^2))) is V11() V12() ext-real set
(x / ((h + f) ^2)) - (z . h) is V11() V12() ext-real Element of REAL
K36((x / ((h + f) ^2)),K38((z . h))) is V11() V12() ext-real set
x / (h ^2) is V11() V12() ext-real Element of REAL
K39((h ^2)) is V11() V12() ext-real set
K37(x,K39((h ^2))) is V11() V12() ext-real set
(x / ((h + f) ^2)) - (x / (h ^2)) is V11() V12() ext-real Element of REAL
K38((x / (h ^2))) is V11() V12() ext-real set
K36((x / ((h + f) ^2)),K38((x / (h ^2)))) is V11() V12() ext-real set
x * (h ^2) is V11() V12() ext-real Element of REAL
x * ((h + f) ^2) is V11() V12() ext-real Element of REAL
(x * (h ^2)) - (x * ((h + f) ^2)) is V11() V12() ext-real Element of REAL
K38((x * ((h + f) ^2))) is V11() V12() ext-real set
K36((x * (h ^2)),K38((x * ((h + f) ^2)))) is V11() V12() ext-real set
((h + f) ^2) * (h ^2) is V11() V12() ext-real Element of REAL
((x * (h ^2)) - (x * ((h + f) ^2))) / (((h + f) ^2) * (h ^2)) is V11() V12() ext-real Element of REAL
K39((((h + f) ^2) * (h ^2))) is V11() V12() ext-real set
K37(((x * (h ^2)) - (x * ((h + f) ^2))),K39((((h + f) ^2) * (h ^2)))) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
- x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
2 * h is V11() V12() ext-real Element of REAL
h ^2 is V11() V12() ext-real Element of REAL
K37(h,h) is V11() V12() ext-real set
f is V11() V12() ext-real Element of REAL
h - f is V11() V12() ext-real Element of REAL
K38(f) is V11() V12() ext-real set
K36(h,K38(f)) is V11() V12() ext-real set
(- x) * f is V11() V12() ext-real Element of REAL
(2 * h) - f is V11() V12() ext-real Element of REAL
K36((2 * h),K38(f)) is V11() V12() ext-real set
((- x) * f) * ((2 * h) - f) is V11() V12() ext-real Element of REAL
h * f is V11() V12() ext-real Element of REAL
(h ^2) - (h * f) is V11() V12() ext-real Element of REAL
K38((h * f)) is V11() V12() ext-real set
K36((h ^2),K38((h * f))) is V11() V12() ext-real set
((h ^2) - (h * f)) ^2 is V11() V12() ext-real Element of REAL
K37(((h ^2) - (h * f)),((h ^2) - (h * f))) is V11() V12() ext-real set
(((- x) * f) * ((2 * h) - f)) / (((h ^2) - (h * f)) ^2) is V11() V12() ext-real Element of REAL
K39((((h ^2) - (h * f)) ^2)) is V11() V12() ext-real set
K37((((- x) * f) * ((2 * h) - f)),K39((((h ^2) - (h * f)) ^2))) is V11() V12() ext-real set
z is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
bD (z,f) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (z,K38(f)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
z - (Shift (z,K38(f))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(bD (z,f)) . h is V11() V12() ext-real Element of REAL
z . (h - f) is V11() V12() ext-real Element of REAL
(h - f) ^2 is V11() V12() ext-real Element of REAL
K37((h - f),(h - f)) is V11() V12() ext-real set
x / ((h - f) ^2) is V11() V12() ext-real Element of REAL
K39(((h - f) ^2)) is V11() V12() ext-real set
K37(x,K39(((h - f) ^2))) is V11() V12() ext-real set
z . h is V11() V12() ext-real Element of REAL
(z . h) - (z . (h - f)) is V11() V12() ext-real Element of REAL
K38((z . (h - f))) is V11() V12() ext-real set
K36((z . h),K38((z . (h - f)))) is V11() V12() ext-real set
x / (h ^2) is V11() V12() ext-real Element of REAL
K39((h ^2)) is V11() V12() ext-real set
K37(x,K39((h ^2))) is V11() V12() ext-real set
(x / (h ^2)) - (x / ((h - f) ^2)) is V11() V12() ext-real Element of REAL
K38((x / ((h - f) ^2))) is V11() V12() ext-real set
K36((x / (h ^2)),K38((x / ((h - f) ^2)))) is V11() V12() ext-real set
x * ((h - f) ^2) is V11() V12() ext-real Element of REAL
x * (h ^2) is V11() V12() ext-real Element of REAL
(x * ((h - f) ^2)) - (x * (h ^2)) is V11() V12() ext-real Element of REAL
K38((x * (h ^2))) is V11() V12() ext-real set
K36((x * ((h - f) ^2)),K38((x * (h ^2)))) is V11() V12() ext-real set
(h ^2) * ((h - f) ^2) is V11() V12() ext-real Element of REAL
((x * ((h - f) ^2)) - (x * (h ^2))) / ((h ^2) * ((h - f) ^2)) is V11() V12() ext-real Element of REAL
K39(((h ^2) * ((h - f) ^2))) is V11() V12() ext-real set
K37(((x * ((h - f) ^2)) - (x * (h ^2))),K39(((h ^2) * ((h - f) ^2)))) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
h ^2 is V11() V12() ext-real Element of REAL
K37(h,h) is V11() V12() ext-real set
f is V11() V12() ext-real Element of REAL
f / 2 is V11() V12() ext-real Element of REAL
K37(f,K39(2)) is V11() V12() ext-real set
h + (f / 2) is V11() V12() ext-real Element of REAL
h - (f / 2) is V11() V12() ext-real Element of REAL
K38((f / 2)) is V11() V12() ext-real set
K36(h,K38((f / 2))) is V11() V12() ext-real set
2 * f is V11() V12() ext-real Element of REAL
(2 * f) * x is V11() V12() ext-real Element of REAL
((2 * f) * x) * h is V11() V12() ext-real Element of REAL
- (((2 * f) * x) * h) is V11() V12() ext-real Element of REAL
(f / 2) ^2 is V11() V12() ext-real Element of REAL
K37((f / 2),(f / 2)) is V11() V12() ext-real set
(h ^2) - ((f / 2) ^2) is V11() V12() ext-real Element of REAL
K38(((f / 2) ^2)) is V11() V12() ext-real set
K36((h ^2),K38(((f / 2) ^2))) is V11() V12() ext-real set
((h ^2) - ((f / 2) ^2)) ^2 is V11() V12() ext-real Element of REAL
K37(((h ^2) - ((f / 2) ^2)),((h ^2) - ((f / 2) ^2))) is V11() V12() ext-real set
(- (((2 * f) * x) * h)) / (((h ^2) - ((f / 2) ^2)) ^2) is V11() V12() ext-real Element of REAL
K39((((h ^2) - ((f / 2) ^2)) ^2)) is V11() V12() ext-real set
K37((- (((2 * f) * x) * h)),K39((((h ^2) - ((f / 2) ^2)) ^2))) is V11() V12() ext-real set
z is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
cD (z,f) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
f / 2 is V11() V12() ext-real Element of REAL
Shift (z,(f / 2)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
- (f / 2) is V11() V12() ext-real Element of REAL
Shift (z,(- (f / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (z,(f / 2))) - (Shift (z,(- (f / 2)))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(cD (z,f)) . h is V11() V12() ext-real Element of REAL
z . (h + (f / 2)) is V11() V12() ext-real Element of REAL
z . (h - (f / 2)) is V11() V12() ext-real Element of REAL
(z . (h + (f / 2))) - (z . (h - (f / 2))) is V11() V12() ext-real Element of REAL
K38((z . (h - (f / 2)))) is V11() V12() ext-real set
K36((z . (h + (f / 2))),K38((z . (h - (f / 2))))) is V11() V12() ext-real set
(h + (f / 2)) ^2 is V11() V12() ext-real Element of REAL
K37((h + (f / 2)),(h + (f / 2))) is V11() V12() ext-real set
x / ((h + (f / 2)) ^2) is V11() V12() ext-real Element of REAL
K39(((h + (f / 2)) ^2)) is V11() V12() ext-real set
K37(x,K39(((h + (f / 2)) ^2))) is V11() V12() ext-real set
(x / ((h + (f / 2)) ^2)) - (z . (h - (f / 2))) is V11() V12() ext-real Element of REAL
K36((x / ((h + (f / 2)) ^2)),K38((z . (h - (f / 2))))) is V11() V12() ext-real set
(h - (f / 2)) ^2 is V11() V12() ext-real Element of REAL
K37((h - (f / 2)),(h - (f / 2))) is V11() V12() ext-real set
x / ((h - (f / 2)) ^2) is V11() V12() ext-real Element of REAL
K39(((h - (f / 2)) ^2)) is V11() V12() ext-real set
K37(x,K39(((h - (f / 2)) ^2))) is V11() V12() ext-real set
(x / ((h + (f / 2)) ^2)) - (x / ((h - (f / 2)) ^2)) is V11() V12() ext-real Element of REAL
K38((x / ((h - (f / 2)) ^2))) is V11() V12() ext-real set
K36((x / ((h + (f / 2)) ^2)),K38((x / ((h - (f / 2)) ^2)))) is V11() V12() ext-real set
x * ((h - (f / 2)) ^2) is V11() V12() ext-real Element of REAL
x * ((h + (f / 2)) ^2) is V11() V12() ext-real Element of REAL
(x * ((h - (f / 2)) ^2)) - (x * ((h + (f / 2)) ^2)) is V11() V12() ext-real Element of REAL
K38((x * ((h + (f / 2)) ^2))) is V11() V12() ext-real set
K36((x * ((h - (f / 2)) ^2)),K38((x * ((h + (f / 2)) ^2)))) is V11() V12() ext-real set
((h + (f / 2)) ^2) * ((h - (f / 2)) ^2) is V11() V12() ext-real Element of REAL
((x * ((h - (f / 2)) ^2)) - (x * ((h + (f / 2)) ^2))) / (((h + (f / 2)) ^2) * ((h - (f / 2)) ^2)) is V11() V12() ext-real Element of REAL
K39((((h + (f / 2)) ^2) * ((h - (f / 2)) ^2))) is V11() V12() ext-real set
K37(((x * ((h - (f / 2)) ^2)) - (x * ((h + (f / 2)) ^2))),K39((((h + (f / 2)) ^2) * ((h - (f / 2)) ^2)))) is V11() V12() ext-real set
sin (#) sin is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
(sin (#) sin) (#) sin is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
1 / 2 is V1() V11() V12() ext-real Element of REAL
3 is V1() V10() V11() V12() ext-real positive V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
[!((sin (#) sin) (#) sin),x,h!] is V11() V12() ext-real Element of REAL
((sin (#) sin) (#) sin) . x is V11() V12() ext-real Element of REAL
((sin (#) sin) (#) sin) . h is V11() V12() ext-real Element of REAL
(((sin (#) sin) (#) sin) . x) - (((sin (#) sin) (#) sin) . h) is V11() V12() ext-real Element of REAL
K38((((sin (#) sin) (#) sin) . h)) is V11() V12() ext-real set
K36((((sin (#) sin) (#) sin) . x),K38((((sin (#) sin) (#) sin) . h))) is V11() V12() ext-real set
K40(x,h) is V11() V12() ext-real set
K38(h) is V11() V12() ext-real set
K36(x,K38(h)) is V11() V12() ext-real set
((((sin (#) sin) (#) sin) . x) - (((sin (#) sin) (#) sin) . h)) / K40(x,h) is V11() V12() ext-real Element of REAL
K39(K40(x,h)) is V11() V12() ext-real set
K37(((((sin (#) sin) (#) sin) . x) - (((sin (#) sin) (#) sin) . h)),K39(K40(x,h))) is V11() V12() ext-real set
x + h is V11() V12() ext-real Element of REAL
(x + h) / 2 is V11() V12() ext-real Element of REAL
K37((x + h),K39(2)) is V11() V12() ext-real set
cos ((x + h) / 2) is V11() V12() ext-real Element of REAL
cos . ((x + h) / 2) is V11() V12() ext-real Element of REAL
3 * (cos ((x + h) / 2)) is V11() V12() ext-real Element of REAL
x - h is V11() V12() ext-real Element of REAL
(x - h) / 2 is V11() V12() ext-real Element of REAL
K37((x - h),K39(2)) is V11() V12() ext-real set
sin ((x - h) / 2) is V11() V12() ext-real Element of REAL
sin . ((x - h) / 2) is V11() V12() ext-real Element of REAL
(3 * (cos ((x + h) / 2))) * (sin ((x - h) / 2)) is V11() V12() ext-real Element of REAL
3 * (x + h) is V11() V12() ext-real Element of REAL
(3 * (x + h)) / 2 is V11() V12() ext-real Element of REAL
K37((3 * (x + h)),K39(2)) is V11() V12() ext-real set
cos ((3 * (x + h)) / 2) is V11() V12() ext-real Element of REAL
cos . ((3 * (x + h)) / 2) is V11() V12() ext-real Element of REAL
3 * (x - h) is V11() V12() ext-real Element of REAL
(3 * (x - h)) / 2 is V11() V12() ext-real Element of REAL
K37((3 * (x - h)),K39(2)) is V11() V12() ext-real set
sin ((3 * (x - h)) / 2) is V11() V12() ext-real Element of REAL
sin . ((3 * (x - h)) / 2) is V11() V12() ext-real Element of REAL
(cos ((3 * (x + h)) / 2)) * (sin ((3 * (x - h)) / 2)) is V11() V12() ext-real Element of REAL
((3 * (cos ((x + h) / 2))) * (sin ((x - h) / 2))) - ((cos ((3 * (x + h)) / 2)) * (sin ((3 * (x - h)) / 2))) is V11() V12() ext-real Element of REAL
K38(((cos ((3 * (x + h)) / 2)) * (sin ((3 * (x - h)) / 2)))) is V11() V12() ext-real set
K36(((3 * (cos ((x + h) / 2))) * (sin ((x - h) / 2))),K38(((cos ((3 * (x + h)) / 2)) * (sin ((3 * (x - h)) / 2))))) is V11() V12() ext-real set
(1 / 2) * (((3 * (cos ((x + h) / 2))) * (sin ((x - h) / 2))) - ((cos ((3 * (x + h)) / 2)) * (sin ((3 * (x - h)) / 2)))) is V11() V12() ext-real Element of REAL
((1 / 2) * (((3 * (cos ((x + h) / 2))) * (sin ((x - h) / 2))) - ((cos ((3 * (x + h)) / 2)) * (sin ((3 * (x - h)) / 2))))) / (x - h) is V11() V12() ext-real Element of REAL
K39((x - h)) is V11() V12() ext-real set
K37(((1 / 2) * (((3 * (cos ((x + h) / 2))) * (sin ((x - h) / 2))) - ((cos ((3 * (x + h)) / 2)) * (sin ((3 * (x - h)) / 2))))),K39((x - h))) is V11() V12() ext-real set
3 * x is V11() V12() ext-real Element of REAL
3 * h is V11() V12() ext-real Element of REAL
(sin (#) sin) . x is V11() V12() ext-real Element of REAL
sin . x is V11() V12() ext-real Element of REAL
((sin (#) sin) . x) * (sin . x) is V11() V12() ext-real Element of REAL
((sin (#) sin) (#) sin) . h is V11() V12() ext-real Element of REAL
(((sin (#) sin) . x) * (sin . x)) - (((sin (#) sin) (#) sin) . h) is V11() V12() ext-real Element of REAL
K38((((sin (#) sin) (#) sin) . h)) is V11() V12() ext-real set
K36((((sin (#) sin) . x) * (sin . x)),K38((((sin (#) sin) (#) sin) . h))) is V11() V12() ext-real set
((((sin (#) sin) . x) * (sin . x)) - (((sin (#) sin) (#) sin) . h)) / (x - h) is V11() V12() ext-real Element of REAL
K37(((((sin (#) sin) . x) * (sin . x)) - (((sin (#) sin) (#) sin) . h)),K39((x - h))) is V11() V12() ext-real set
(sin . x) * (sin . x) is V11() V12() ext-real Element of REAL
((sin . x) * (sin . x)) * (sin . x) is V11() V12() ext-real Element of REAL
(((sin . x) * (sin . x)) * (sin . x)) - (((sin (#) sin) (#) sin) . h) is V11() V12() ext-real Element of REAL
K36((((sin . x) * (sin . x)) * (sin . x)),K38((((sin (#) sin) (#) sin) . h))) is V11() V12() ext-real set
((((sin . x) * (sin . x)) * (sin . x)) - (((sin (#) sin) (#) sin) . h)) / (x - h) is V11() V12() ext-real Element of REAL
K37(((((sin . x) * (sin . x)) * (sin . x)) - (((sin (#) sin) (#) sin) . h)),K39((x - h))) is V11() V12() ext-real set
(sin (#) sin) . h is V11() V12() ext-real Element of REAL
sin . h is V11() V12() ext-real Element of REAL
((sin (#) sin) . h) * (sin . h) is V11() V12() ext-real Element of REAL
(((sin . x) * (sin . x)) * (sin . x)) - (((sin (#) sin) . h) * (sin . h)) is V11() V12() ext-real Element of REAL
K38((((sin (#) sin) . h) * (sin . h))) is V11() V12() ext-real set
K36((((sin . x) * (sin . x)) * (sin . x)),K38((((sin (#) sin) . h) * (sin . h)))) is V11() V12() ext-real set
((((sin . x) * (sin . x)) * (sin . x)) - (((sin (#) sin) . h) * (sin . h))) / (x - h) is V11() V12() ext-real Element of REAL
K37(((((sin . x) * (sin . x)) * (sin . x)) - (((sin (#) sin) . h) * (sin . h))),K39((x - h))) is V11() V12() ext-real set
sin x is V11() V12() ext-real Element of REAL
sin . x is V11() V12() ext-real Element of REAL
(sin x) * (sin x) is V11() V12() ext-real Element of REAL
((sin x) * (sin x)) * (sin x) is V11() V12() ext-real Element of REAL
sin h is V11() V12() ext-real Element of REAL
sin . h is V11() V12() ext-real Element of REAL
(sin h) * (sin h) is V11() V12() ext-real Element of REAL
((sin h) * (sin h)) * (sin h) is V11() V12() ext-real Element of REAL
(((sin x) * (sin x)) * (sin x)) - (((sin h) * (sin h)) * (sin h)) is V11() V12() ext-real Element of REAL
K38((((sin h) * (sin h)) * (sin h))) is V11() V12() ext-real set
K36((((sin x) * (sin x)) * (sin x)),K38((((sin h) * (sin h)) * (sin h)))) is V11() V12() ext-real set
((((sin x) * (sin x)) * (sin x)) - (((sin h) * (sin h)) * (sin h))) / (x - h) is V11() V12() ext-real Element of REAL
K37(((((sin x) * (sin x)) * (sin x)) - (((sin h) * (sin h)) * (sin h))),K39((x - h))) is V11() V12() ext-real set
1 / 4 is V1() V11() V12() ext-real Element of REAL
x + x is V11() V12() ext-real Element of REAL
(x + x) - x is V11() V12() ext-real Element of REAL
K38(x) is V11() V12() ext-real set
K36((x + x),K38(x)) is V11() V12() ext-real set
sin ((x + x) - x) is V11() V12() ext-real Element of REAL
sin . ((x + x) - x) is V11() V12() ext-real Element of REAL
(sin ((x + x) - x)) + (sin ((x + x) - x)) is V11() V12() ext-real Element of REAL
((sin ((x + x) - x)) + (sin ((x + x) - x))) + (sin ((x + x) - x)) is V11() V12() ext-real Element of REAL
(x + x) + x is V11() V12() ext-real Element of REAL
sin ((x + x) + x) is V11() V12() ext-real Element of REAL
sin . ((x + x) + x) is V11() V12() ext-real Element of REAL
(((sin ((x + x) - x)) + (sin ((x + x) - x))) + (sin ((x + x) - x))) - (sin ((x + x) + x)) is V11() V12() ext-real Element of REAL
K38((sin ((x + x) + x))) is V11() V12() ext-real set
K36((((sin ((x + x) - x)) + (sin ((x + x) - x))) + (sin ((x + x) - x))),K38((sin ((x + x) + x)))) is V11() V12() ext-real set
(1 / 4) * ((((sin ((x + x) - x)) + (sin ((x + x) - x))) + (sin ((x + x) - x))) - (sin ((x + x) + x))) is V11() V12() ext-real Element of REAL
((1 / 4) * ((((sin ((x + x) - x)) + (sin ((x + x) - x))) + (sin ((x + x) - x))) - (sin ((x + x) + x)))) - (((sin h) * (sin h)) * (sin h)) is V11() V12() ext-real Element of REAL
K36(((1 / 4) * ((((sin ((x + x) - x)) + (sin ((x + x) - x))) + (sin ((x + x) - x))) - (sin ((x + x) + x)))),K38((((sin h) * (sin h)) * (sin h)))) is V11() V12() ext-real set
(((1 / 4) * ((((sin ((x + x) - x)) + (sin ((x + x) - x))) + (sin ((x + x) - x))) - (sin ((x + x) + x)))) - (((sin h) * (sin h)) * (sin h))) / (x - h) is V11() V12() ext-real Element of REAL
K37((((1 / 4) * ((((sin ((x + x) - x)) + (sin ((x + x) - x))) + (sin ((x + x) - x))) - (sin ((x + x) + x)))) - (((sin h) * (sin h)) * (sin h))),K39((x - h))) is V11() V12() ext-real set
3 * (sin x) is V11() V12() ext-real Element of REAL
sin (3 * x) is V11() V12() ext-real Element of REAL
sin . (3 * x) is V11() V12() ext-real Element of REAL
(3 * (sin x)) - (sin (3 * x)) is V11() V12() ext-real Element of REAL
K38((sin (3 * x))) is V11() V12() ext-real set
K36((3 * (sin x)),K38((sin (3 * x)))) is V11() V12() ext-real set
(1 / 4) * ((3 * (sin x)) - (sin (3 * x))) is V11() V12() ext-real Element of REAL
h + h is V11() V12() ext-real Element of REAL
(h + h) - h is V11() V12() ext-real Element of REAL
K36((h + h),K38(h)) is V11() V12() ext-real set
sin ((h + h) - h) is V11() V12() ext-real Element of REAL
sin . ((h + h) - h) is V11() V12() ext-real Element of REAL
(sin ((h + h) - h)) + (sin ((h + h) - h)) is V11() V12() ext-real Element of REAL
((sin ((h + h) - h)) + (sin ((h + h) - h))) + (sin ((h + h) - h)) is V11() V12() ext-real Element of REAL
(h + h) + h is V11() V12() ext-real Element of REAL
sin ((h + h) + h) is V11() V12() ext-real Element of REAL
sin . ((h + h) + h) is V11() V12() ext-real Element of REAL
(((sin ((h + h) - h)) + (sin ((h + h) - h))) + (sin ((h + h) - h))) - (sin ((h + h) + h)) is V11() V12() ext-real Element of REAL
K38((sin ((h + h) + h))) is V11() V12() ext-real set
K36((((sin ((h + h) - h)) + (sin ((h + h) - h))) + (sin ((h + h) - h))),K38((sin ((h + h) + h)))) is V11() V12() ext-real set
(1 / 4) * ((((sin ((h + h) - h)) + (sin ((h + h) - h))) + (sin ((h + h) - h))) - (sin ((h + h) + h))) is V11() V12() ext-real Element of REAL
((1 / 4) * ((3 * (sin x)) - (sin (3 * x)))) - ((1 / 4) * ((((sin ((h + h) - h)) + (sin ((h + h) - h))) + (sin ((h + h) - h))) - (sin ((h + h) + h)))) is V11() V12() ext-real Element of REAL
K38(((1 / 4) * ((((sin ((h + h) - h)) + (sin ((h + h) - h))) + (sin ((h + h) - h))) - (sin ((h + h) + h))))) is V11() V12() ext-real set
K36(((1 / 4) * ((3 * (sin x)) - (sin (3 * x)))),K38(((1 / 4) * ((((sin ((h + h) - h)) + (sin ((h + h) - h))) + (sin ((h + h) - h))) - (sin ((h + h) + h)))))) is V11() V12() ext-real set
(((1 / 4) * ((3 * (sin x)) - (sin (3 * x)))) - ((1 / 4) * ((((sin ((h + h) - h)) + (sin ((h + h) - h))) + (sin ((h + h) - h))) - (sin ((h + h) + h))))) / (x - h) is V11() V12() ext-real Element of REAL
K37((((1 / 4) * ((3 * (sin x)) - (sin (3 * x)))) - ((1 / 4) * ((((sin ((h + h) - h)) + (sin ((h + h) - h))) + (sin ((h + h) - h))) - (sin ((h + h) + h))))),K39((x - h))) is V11() V12() ext-real set
(sin x) - (sin h) is V11() V12() ext-real Element of REAL
K38((sin h)) is V11() V12() ext-real set
K36((sin x),K38((sin h))) is V11() V12() ext-real set
3 * ((sin x) - (sin h)) is V11() V12() ext-real Element of REAL
sin (3 * h) is V11() V12() ext-real Element of REAL
sin . (3 * h) is V11() V12() ext-real Element of REAL
(sin (3 * x)) - (sin (3 * h)) is V11() V12() ext-real Element of REAL
K38((sin (3 * h))) is V11() V12() ext-real set
K36((sin (3 * x)),K38((sin (3 * h)))) is V11() V12() ext-real set
(3 * ((sin x) - (sin h))) - ((sin (3 * x)) - (sin (3 * h))) is V11() V12() ext-real Element of REAL
K38(((sin (3 * x)) - (sin (3 * h)))) is V11() V12() ext-real set
K36((3 * ((sin x) - (sin h))),K38(((sin (3 * x)) - (sin (3 * h))))) is V11() V12() ext-real set
(1 / 4) * ((3 * ((sin x) - (sin h))) - ((sin (3 * x)) - (sin (3 * h)))) is V11() V12() ext-real Element of REAL
((1 / 4) * ((3 * ((sin x) - (sin h))) - ((sin (3 * x)) - (sin (3 * h))))) / (x - h) is V11() V12() ext-real Element of REAL
K37(((1 / 4) * ((3 * ((sin x) - (sin h))) - ((sin (3 * x)) - (sin (3 * h))))),K39((x - h))) is V11() V12() ext-real set
(cos ((x + h) / 2)) * (sin ((x - h) / 2)) is V11() V12() ext-real Element of REAL
2 * ((cos ((x + h) / 2)) * (sin ((x - h) / 2))) is V11() V12() ext-real Element of REAL
3 * (2 * ((cos ((x + h) / 2)) * (sin ((x - h) / 2)))) is V11() V12() ext-real Element of REAL
(3 * (2 * ((cos ((x + h) / 2)) * (sin ((x - h) / 2))))) - ((sin (3 * x)) - (sin (3 * h))) is V11() V12() ext-real Element of REAL
K36((3 * (2 * ((cos ((x + h) / 2)) * (sin ((x - h) / 2))))),K38(((sin (3 * x)) - (sin (3 * h))))) is V11() V12() ext-real set
(1 / 4) * ((3 * (2 * ((cos ((x + h) / 2)) * (sin ((x - h) / 2))))) - ((sin (3 * x)) - (sin (3 * h)))) is V11() V12() ext-real Element of REAL
((1 / 4) * ((3 * (2 * ((cos ((x + h) / 2)) * (sin ((x - h) / 2))))) - ((sin (3 * x)) - (sin (3 * h))))) / (x - h) is V11() V12() ext-real Element of REAL
K37(((1 / 4) * ((3 * (2 * ((cos ((x + h) / 2)) * (sin ((x - h) / 2))))) - ((sin (3 * x)) - (sin (3 * h))))),K39((x - h))) is V11() V12() ext-real set
(3 * x) + (3 * h) is V11() V12() ext-real Element of REAL
((3 * x) + (3 * h)) / 2 is V11() V12() ext-real Element of REAL
K37(((3 * x) + (3 * h)),K39(2)) is V11() V12() ext-real set
cos (((3 * x) + (3 * h)) / 2) is V11() V12() ext-real Element of REAL
cos . (((3 * x) + (3 * h)) / 2) is V11() V12() ext-real Element of REAL
(3 * x) - (3 * h) is V11() V12() ext-real Element of REAL
K38((3 * h)) is V11() V12() ext-real set
K36((3 * x),K38((3 * h))) is V11() V12() ext-real set
((3 * x) - (3 * h)) / 2 is V11() V12() ext-real Element of REAL
K37(((3 * x) - (3 * h)),K39(2)) is V11() V12() ext-real set
sin (((3 * x) - (3 * h)) / 2) is V11() V12() ext-real Element of REAL
sin . (((3 * x) - (3 * h)) / 2) is V11() V12() ext-real Element of REAL
(cos (((3 * x) + (3 * h)) / 2)) * (sin (((3 * x) - (3 * h)) / 2)) is V11() V12() ext-real Element of REAL
2 * ((cos (((3 * x) + (3 * h)) / 2)) * (sin (((3 * x) - (3 * h)) / 2))) is V11() V12() ext-real Element of REAL
(3 * (2 * ((cos ((x + h) / 2)) * (sin ((x - h) / 2))))) - (2 * ((cos (((3 * x) + (3 * h)) / 2)) * (sin (((3 * x) - (3 * h)) / 2)))) is V11() V12() ext-real Element of REAL
K38((2 * ((cos (((3 * x) + (3 * h)) / 2)) * (sin (((3 * x) - (3 * h)) / 2))))) is V11() V12() ext-real set
K36((3 * (2 * ((cos ((x + h) / 2)) * (sin ((x - h) / 2))))),K38((2 * ((cos (((3 * x) + (3 * h)) / 2)) * (sin (((3 * x) - (3 * h)) / 2)))))) is V11() V12() ext-real set
(1 / 4) * ((3 * (2 * ((cos ((x + h) / 2)) * (sin ((x - h) / 2))))) - (2 * ((cos (((3 * x) + (3 * h)) / 2)) * (sin (((3 * x) - (3 * h)) / 2))))) is V11() V12() ext-real Element of REAL
((1 / 4) * ((3 * (2 * ((cos ((x + h) / 2)) * (sin ((x - h) / 2))))) - (2 * ((cos (((3 * x) + (3 * h)) / 2)) * (sin (((3 * x) - (3 * h)) / 2)))))) / (x - h) is V11() V12() ext-real Element of REAL
K37(((1 / 4) * ((3 * (2 * ((cos ((x + h) / 2)) * (sin ((x - h) / 2))))) - (2 * ((cos (((3 * x) + (3 * h)) / 2)) * (sin (((3 * x) - (3 * h)) / 2)))))),K39((x - h))) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
fD (((sin (#) sin) (#) sin),x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (((sin (#) sin) (#) sin),x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (((sin (#) sin) (#) sin),x)) - ((sin (#) sin) (#) sin) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
x / 2 is V11() V12() ext-real Element of REAL
K37(x,K39(2)) is V11() V12() ext-real set
sin (x / 2) is V11() V12() ext-real Element of REAL
sin . (x / 2) is V11() V12() ext-real Element of REAL
3 * x is V11() V12() ext-real Element of REAL
(3 * x) / 2 is V11() V12() ext-real Element of REAL
K37((3 * x),K39(2)) is V11() V12() ext-real set
sin ((3 * x) / 2) is V11() V12() ext-real Element of REAL
sin . ((3 * x) / 2) is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
(fD (((sin (#) sin) (#) sin),x)) . h is V11() V12() ext-real Element of REAL
2 * h is V11() V12() ext-real Element of REAL
(2 * h) + x is V11() V12() ext-real Element of REAL
((2 * h) + x) / 2 is V11() V12() ext-real Element of REAL
K37(((2 * h) + x),K39(2)) is V11() V12() ext-real set
cos (((2 * h) + x) / 2) is V11() V12() ext-real Element of REAL
cos . (((2 * h) + x) / 2) is V11() V12() ext-real Element of REAL
3 * (cos (((2 * h) + x) / 2)) is V11() V12() ext-real Element of REAL
(3 * (cos (((2 * h) + x) / 2))) * (sin (x / 2)) is V11() V12() ext-real Element of REAL
3 * ((2 * h) + x) is V11() V12() ext-real Element of REAL
(3 * ((2 * h) + x)) / 2 is V11() V12() ext-real Element of REAL
K37((3 * ((2 * h) + x)),K39(2)) is V11() V12() ext-real set
cos ((3 * ((2 * h) + x)) / 2) is V11() V12() ext-real Element of REAL
cos . ((3 * ((2 * h) + x)) / 2) is V11() V12() ext-real Element of REAL
(cos ((3 * ((2 * h) + x)) / 2)) * (sin ((3 * x) / 2)) is V11() V12() ext-real Element of REAL
((3 * (cos (((2 * h) + x) / 2))) * (sin (x / 2))) - ((cos ((3 * ((2 * h) + x)) / 2)) * (sin ((3 * x) / 2))) is V11() V12() ext-real Element of REAL
K38(((cos ((3 * ((2 * h) + x)) / 2)) * (sin ((3 * x) / 2)))) is V11() V12() ext-real set
K36(((3 * (cos (((2 * h) + x) / 2))) * (sin (x / 2))),K38(((cos ((3 * ((2 * h) + x)) / 2)) * (sin ((3 * x) / 2))))) is V11() V12() ext-real set
(1 / 2) * (((3 * (cos (((2 * h) + x) / 2))) * (sin (x / 2))) - ((cos ((3 * ((2 * h) + x)) / 2)) * (sin ((3 * x) / 2)))) is V11() V12() ext-real Element of REAL
h + x is V11() V12() ext-real Element of REAL
((sin (#) sin) (#) sin) . (h + x) is V11() V12() ext-real Element of REAL
((sin (#) sin) (#) sin) . h is V11() V12() ext-real Element of REAL
(((sin (#) sin) (#) sin) . (h + x)) - (((sin (#) sin) (#) sin) . h) is V11() V12() ext-real Element of REAL
K38((((sin (#) sin) (#) sin) . h)) is V11() V12() ext-real set
K36((((sin (#) sin) (#) sin) . (h + x)),K38((((sin (#) sin) (#) sin) . h))) is V11() V12() ext-real set
(sin (#) sin) . (h + x) is V11() V12() ext-real Element of REAL
sin . (h + x) is V11() V12() ext-real Element of REAL
((sin (#) sin) . (h + x)) * (sin . (h + x)) is V11() V12() ext-real Element of REAL
(((sin (#) sin) . (h + x)) * (sin . (h + x))) - (((sin (#) sin) (#) sin) . h) is V11() V12() ext-real Element of REAL
K36((((sin (#) sin) . (h + x)) * (sin . (h + x))),K38((((sin (#) sin) (#) sin) . h))) is V11() V12() ext-real set
(sin . (h + x)) * (sin . (h + x)) is V11() V12() ext-real Element of REAL
((sin . (h + x)) * (sin . (h + x))) * (sin . (h + x)) is V11() V12() ext-real Element of REAL
(((sin . (h + x)) * (sin . (h + x))) * (sin . (h + x))) - (((sin (#) sin) (#) sin) . h) is V11() V12() ext-real Element of REAL
K36((((sin . (h + x)) * (sin . (h + x))) * (sin . (h + x))),K38((((sin (#) sin) (#) sin) . h))) is V11() V12() ext-real set
(sin (#) sin) . h is V11() V12() ext-real Element of REAL
sin . h is V11() V12() ext-real Element of REAL
((sin (#) sin) . h) * (sin . h) is V11() V12() ext-real Element of REAL
(((sin . (h + x)) * (sin . (h + x))) * (sin . (h + x))) - (((sin (#) sin) . h) * (sin . h)) is V11() V12() ext-real Element of REAL
K38((((sin (#) sin) . h) * (sin . h))) is V11() V12() ext-real set
K36((((sin . (h + x)) * (sin . (h + x))) * (sin . (h + x))),K38((((sin (#) sin) . h) * (sin . h)))) is V11() V12() ext-real set
sin (h + x) is V11() V12() ext-real Element of REAL
sin . (h + x) is V11() V12() ext-real Element of REAL
(sin (h + x)) * (sin (h + x)) is V11() V12() ext-real Element of REAL
((sin (h + x)) * (sin (h + x))) * (sin (h + x)) is V11() V12() ext-real Element of REAL
sin h is V11() V12() ext-real Element of REAL
sin . h is V11() V12() ext-real Element of REAL
(sin h) * (sin h) is V11() V12() ext-real Element of REAL
((sin h) * (sin h)) * (sin h) is V11() V12() ext-real Element of REAL
(((sin (h + x)) * (sin (h + x))) * (sin (h + x))) - (((sin h) * (sin h)) * (sin h)) is V11() V12() ext-real Element of REAL
K38((((sin h) * (sin h)) * (sin h))) is V11() V12() ext-real set
K36((((sin (h + x)) * (sin (h + x))) * (sin (h + x))),K38((((sin h) * (sin h)) * (sin h)))) is V11() V12() ext-real set
1 / 4 is V1() V11() V12() ext-real Element of REAL
(h + x) + (h + x) is V11() V12() ext-real Element of REAL
((h + x) + (h + x)) - (h + x) is V11() V12() ext-real Element of REAL
K38((h + x)) is V11() V12() ext-real set
K36(((h + x) + (h + x)),K38((h + x))) is V11() V12() ext-real set
sin (((h + x) + (h + x)) - (h + x)) is V11() V12() ext-real Element of REAL
sin . (((h + x) + (h + x)) - (h + x)) is V11() V12() ext-real Element of REAL
(sin (((h + x) + (h + x)) - (h + x))) + (sin (((h + x) + (h + x)) - (h + x))) is V11() V12() ext-real Element of REAL
((sin (((h + x) + (h + x)) - (h + x))) + (sin (((h + x) + (h + x)) - (h + x)))) + (sin (((h + x) + (h + x)) - (h + x))) is V11() V12() ext-real Element of REAL
((h + x) + (h + x)) + (h + x) is V11() V12() ext-real Element of REAL
sin (((h + x) + (h + x)) + (h + x)) is V11() V12() ext-real Element of REAL
sin . (((h + x) + (h + x)) + (h + x)) is V11() V12() ext-real Element of REAL
(((sin (((h + x) + (h + x)) - (h + x))) + (sin (((h + x) + (h + x)) - (h + x)))) + (sin (((h + x) + (h + x)) - (h + x)))) - (sin (((h + x) + (h + x)) + (h + x))) is V11() V12() ext-real Element of REAL
K38((sin (((h + x) + (h + x)) + (h + x)))) is V11() V12() ext-real set
K36((((sin (((h + x) + (h + x)) - (h + x))) + (sin (((h + x) + (h + x)) - (h + x)))) + (sin (((h + x) + (h + x)) - (h + x)))),K38((sin (((h + x) + (h + x)) + (h + x))))) is V11() V12() ext-real set
(1 / 4) * ((((sin (((h + x) + (h + x)) - (h + x))) + (sin (((h + x) + (h + x)) - (h + x)))) + (sin (((h + x) + (h + x)) - (h + x)))) - (sin (((h + x) + (h + x)) + (h + x)))) is V11() V12() ext-real Element of REAL
((1 / 4) * ((((sin (((h + x) + (h + x)) - (h + x))) + (sin (((h + x) + (h + x)) - (h + x)))) + (sin (((h + x) + (h + x)) - (h + x)))) - (sin (((h + x) + (h + x)) + (h + x))))) - (((sin h) * (sin h)) * (sin h)) is V11() V12() ext-real Element of REAL
K36(((1 / 4) * ((((sin (((h + x) + (h + x)) - (h + x))) + (sin (((h + x) + (h + x)) - (h + x)))) + (sin (((h + x) + (h + x)) - (h + x)))) - (sin (((h + x) + (h + x)) + (h + x))))),K38((((sin h) * (sin h)) * (sin h)))) is V11() V12() ext-real set
(sin (h + x)) + (sin (h + x)) is V11() V12() ext-real Element of REAL
((sin (h + x)) + (sin (h + x))) + (sin (h + x)) is V11() V12() ext-real Element of REAL
3 * (h + x) is V11() V12() ext-real Element of REAL
sin (3 * (h + x)) is V11() V12() ext-real Element of REAL
sin . (3 * (h + x)) is V11() V12() ext-real Element of REAL
(((sin (h + x)) + (sin (h + x))) + (sin (h + x))) - (sin (3 * (h + x))) is V11() V12() ext-real Element of REAL
K38((sin (3 * (h + x)))) is V11() V12() ext-real set
K36((((sin (h + x)) + (sin (h + x))) + (sin (h + x))),K38((sin (3 * (h + x))))) is V11() V12() ext-real set
(1 / 4) * ((((sin (h + x)) + (sin (h + x))) + (sin (h + x))) - (sin (3 * (h + x)))) is V11() V12() ext-real Element of REAL
h + h is V11() V12() ext-real Element of REAL
(h + h) - h is V11() V12() ext-real Element of REAL
K38(h) is V11() V12() ext-real set
K36((h + h),K38(h)) is V11() V12() ext-real set
sin ((h + h) - h) is V11() V12() ext-real Element of REAL
sin . ((h + h) - h) is V11() V12() ext-real Element of REAL
(sin ((h + h) - h)) + (sin ((h + h) - h)) is V11() V12() ext-real Element of REAL
((sin ((h + h) - h)) + (sin ((h + h) - h))) + (sin ((h + h) - h)) is V11() V12() ext-real Element of REAL
(h + h) + h is V11() V12() ext-real Element of REAL
sin ((h + h) + h) is V11() V12() ext-real Element of REAL
sin . ((h + h) + h) is V11() V12() ext-real Element of REAL
(((sin ((h + h) - h)) + (sin ((h + h) - h))) + (sin ((h + h) - h))) - (sin ((h + h) + h)) is V11() V12() ext-real Element of REAL
K38((sin ((h + h) + h))) is V11() V12() ext-real set
K36((((sin ((h + h) - h)) + (sin ((h + h) - h))) + (sin ((h + h) - h))),K38((sin ((h + h) + h)))) is V11() V12() ext-real set
(1 / 4) * ((((sin ((h + h) - h)) + (sin ((h + h) - h))) + (sin ((h + h) - h))) - (sin ((h + h) + h))) is V11() V12() ext-real Element of REAL
((1 / 4) * ((((sin (h + x)) + (sin (h + x))) + (sin (h + x))) - (sin (3 * (h + x))))) - ((1 / 4) * ((((sin ((h + h) - h)) + (sin ((h + h) - h))) + (sin ((h + h) - h))) - (sin ((h + h) + h)))) is V11() V12() ext-real Element of REAL
K38(((1 / 4) * ((((sin ((h + h) - h)) + (sin ((h + h) - h))) + (sin ((h + h) - h))) - (sin ((h + h) + h))))) is V11() V12() ext-real set
K36(((1 / 4) * ((((sin (h + x)) + (sin (h + x))) + (sin (h + x))) - (sin (3 * (h + x))))),K38(((1 / 4) * ((((sin ((h + h) - h)) + (sin ((h + h) - h))) + (sin ((h + h) - h))) - (sin ((h + h) + h)))))) is V11() V12() ext-real set
(sin (h + x)) - (sin h) is V11() V12() ext-real Element of REAL
K38((sin h)) is V11() V12() ext-real set
K36((sin (h + x)),K38((sin h))) is V11() V12() ext-real set
3 * ((sin (h + x)) - (sin h)) is V11() V12() ext-real Element of REAL
3 * h is V11() V12() ext-real Element of REAL
sin (3 * h) is V11() V12() ext-real Element of REAL
sin . (3 * h) is V11() V12() ext-real Element of REAL
(sin (3 * (h + x))) - (sin (3 * h)) is V11() V12() ext-real Element of REAL
K38((sin (3 * h))) is V11() V12() ext-real set
K36((sin (3 * (h + x))),K38((sin (3 * h)))) is V11() V12() ext-real set
(3 * ((sin (h + x)) - (sin h))) - ((sin (3 * (h + x))) - (sin (3 * h))) is V11() V12() ext-real Element of REAL
K38(((sin (3 * (h + x))) - (sin (3 * h)))) is V11() V12() ext-real set
K36((3 * ((sin (h + x)) - (sin h))),K38(((sin (3 * (h + x))) - (sin (3 * h))))) is V11() V12() ext-real set
(1 / 4) * ((3 * ((sin (h + x)) - (sin h))) - ((sin (3 * (h + x))) - (sin (3 * h)))) is V11() V12() ext-real Element of REAL
(h + x) + h is V11() V12() ext-real Element of REAL
((h + x) + h) / 2 is V11() V12() ext-real Element of REAL
K37(((h + x) + h),K39(2)) is V11() V12() ext-real set
cos (((h + x) + h) / 2) is V11() V12() ext-real Element of REAL
cos . (((h + x) + h) / 2) is V11() V12() ext-real Element of REAL
(h + x) - h is V11() V12() ext-real Element of REAL
K36((h + x),K38(h)) is V11() V12() ext-real set
((h + x) - h) / 2 is V11() V12() ext-real Element of REAL
K37(((h + x) - h),K39(2)) is V11() V12() ext-real set
sin (((h + x) - h) / 2) is V11() V12() ext-real Element of REAL
sin . (((h + x) - h) / 2) is V11() V12() ext-real Element of REAL
(cos (((h + x) + h) / 2)) * (sin (((h + x) - h) / 2)) is V11() V12() ext-real Element of REAL
2 * ((cos (((h + x) + h) / 2)) * (sin (((h + x) - h) / 2))) is V11() V12() ext-real Element of REAL
3 * (2 * ((cos (((h + x) + h) / 2)) * (sin (((h + x) - h) / 2)))) is V11() V12() ext-real Element of REAL
(3 * (2 * ((cos (((h + x) + h) / 2)) * (sin (((h + x) - h) / 2))))) - ((sin (3 * (h + x))) - (sin (3 * h))) is V11() V12() ext-real Element of REAL
K36((3 * (2 * ((cos (((h + x) + h) / 2)) * (sin (((h + x) - h) / 2))))),K38(((sin (3 * (h + x))) - (sin (3 * h))))) is V11() V12() ext-real set
(1 / 4) * ((3 * (2 * ((cos (((h + x) + h) / 2)) * (sin (((h + x) - h) / 2))))) - ((sin (3 * (h + x))) - (sin (3 * h)))) is V11() V12() ext-real Element of REAL
(3 * (h + x)) + (3 * h) is V11() V12() ext-real Element of REAL
((3 * (h + x)) + (3 * h)) / 2 is V11() V12() ext-real Element of REAL
K37(((3 * (h + x)) + (3 * h)),K39(2)) is V11() V12() ext-real set
cos (((3 * (h + x)) + (3 * h)) / 2) is V11() V12() ext-real Element of REAL
cos . (((3 * (h + x)) + (3 * h)) / 2) is V11() V12() ext-real Element of REAL
(3 * (h + x)) - (3 * h) is V11() V12() ext-real Element of REAL
K38((3 * h)) is V11() V12() ext-real set
K36((3 * (h + x)),K38((3 * h))) is V11() V12() ext-real set
((3 * (h + x)) - (3 * h)) / 2 is V11() V12() ext-real Element of REAL
K37(((3 * (h + x)) - (3 * h)),K39(2)) is V11() V12() ext-real set
sin (((3 * (h + x)) - (3 * h)) / 2) is V11() V12() ext-real Element of REAL
sin . (((3 * (h + x)) - (3 * h)) / 2) is V11() V12() ext-real Element of REAL
(cos (((3 * (h + x)) + (3 * h)) / 2)) * (sin (((3 * (h + x)) - (3 * h)) / 2)) is V11() V12() ext-real Element of REAL
2 * ((cos (((3 * (h + x)) + (3 * h)) / 2)) * (sin (((3 * (h + x)) - (3 * h)) / 2))) is V11() V12() ext-real Element of REAL
(3 * (2 * ((cos (((h + x) + h) / 2)) * (sin (((h + x) - h) / 2))))) - (2 * ((cos (((3 * (h + x)) + (3 * h)) / 2)) * (sin (((3 * (h + x)) - (3 * h)) / 2)))) is V11() V12() ext-real Element of REAL
K38((2 * ((cos (((3 * (h + x)) + (3 * h)) / 2)) * (sin (((3 * (h + x)) - (3 * h)) / 2))))) is V11() V12() ext-real set
K36((3 * (2 * ((cos (((h + x) + h) / 2)) * (sin (((h + x) - h) / 2))))),K38((2 * ((cos (((3 * (h + x)) + (3 * h)) / 2)) * (sin (((3 * (h + x)) - (3 * h)) / 2)))))) is V11() V12() ext-real set
(1 / 4) * ((3 * (2 * ((cos (((h + x) + h) / 2)) * (sin (((h + x) - h) / 2))))) - (2 * ((cos (((3 * (h + x)) + (3 * h)) / 2)) * (sin (((3 * (h + x)) - (3 * h)) / 2))))) is V11() V12() ext-real Element of REAL
x is V11() V12() ext-real Element of REAL
bD (((sin (#) sin) (#) sin),x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
K38(x) is V11() V12() ext-real set
Shift (((sin (#) sin) (#) sin),K38(x)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((sin (#) sin) (#) sin) - (Shift (((sin (#) sin) (#) sin),K38(x))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
x / 2 is V11() V12() ext-real Element of REAL
K37(x,K39(2)) is V11() V12() ext-real set
sin (x / 2) is V11() V12() ext-real Element of REAL
sin . (x / 2) is V11() V12() ext-real Element of REAL
3 * x is V11() V12() ext-real Element of REAL
(3 * x) / 2 is V11() V12() ext-real Element of REAL
K37((3 * x),K39(2)) is V11() V12() ext-real set
sin ((3 * x) / 2) is V11() V12() ext-real Element of REAL
sin . ((3 * x) / 2) is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
(bD (((sin (#) sin) (#) sin),x)) . h is V11() V12() ext-real Element of REAL
2 * h is V11() V12() ext-real Element of REAL
(2 * h) - x is V11() V12() ext-real Element of REAL
K36((2 * h),K38(x)) is V11() V12() ext-real set
((2 * h) - x) / 2 is V11() V12() ext-real Element of REAL
K37(((2 * h) - x),K39(2)) is V11() V12() ext-real set
cos (((2 * h) - x) / 2) is V11() V12() ext-real Element of REAL
cos . (((2 * h) - x) / 2) is V11() V12() ext-real Element of REAL
3 * (cos (((2 * h) - x) / 2)) is V11() V12() ext-real Element of REAL
(3 * (cos (((2 * h) - x) / 2))) * (sin (x / 2)) is V11() V12() ext-real Element of REAL
3 * ((2 * h) - x) is V11() V12() ext-real Element of REAL
(3 * ((2 * h) - x)) / 2 is V11() V12() ext-real Element of REAL
K37((3 * ((2 * h) - x)),K39(2)) is V11() V12() ext-real set
cos ((3 * ((2 * h) - x)) / 2) is V11() V12() ext-real Element of REAL
cos . ((3 * ((2 * h) - x)) / 2) is V11() V12() ext-real Element of REAL
(cos ((3 * ((2 * h) - x)) / 2)) * (sin ((3 * x) / 2)) is V11() V12() ext-real Element of REAL
((3 * (cos (((2 * h) - x) / 2))) * (sin (x / 2))) - ((cos ((3 * ((2 * h) - x)) / 2)) * (sin ((3 * x) / 2))) is V11() V12() ext-real Element of REAL
K38(((cos ((3 * ((2 * h) - x)) / 2)) * (sin ((3 * x) / 2)))) is V11() V12() ext-real set
K36(((3 * (cos (((2 * h) - x) / 2))) * (sin (x / 2))),K38(((cos ((3 * ((2 * h) - x)) / 2)) * (sin ((3 * x) / 2))))) is V11() V12() ext-real set
(1 / 2) * (((3 * (cos (((2 * h) - x) / 2))) * (sin (x / 2))) - ((cos ((3 * ((2 * h) - x)) / 2)) * (sin ((3 * x) / 2)))) is V11() V12() ext-real Element of REAL
((sin (#) sin) (#) sin) . h is V11() V12() ext-real Element of REAL
h - x is V11() V12() ext-real Element of REAL
K36(h,K38(x)) is V11() V12() ext-real set
((sin (#) sin) (#) sin) . (h - x) is V11() V12() ext-real Element of REAL
(((sin (#) sin) (#) sin) . h) - (((sin (#) sin) (#) sin) . (h - x)) is V11() V12() ext-real Element of REAL
K38((((sin (#) sin) (#) sin) . (h - x))) is V11() V12() ext-real set
K36((((sin (#) sin) (#) sin) . h),K38((((sin (#) sin) (#) sin) . (h - x)))) is V11() V12() ext-real set
(sin (#) sin) . h is V11() V12() ext-real Element of REAL
sin . h is V11() V12() ext-real Element of REAL
((sin (#) sin) . h) * (sin . h) is V11() V12() ext-real Element of REAL
(((sin (#) sin) . h) * (sin . h)) - (((sin (#) sin) (#) sin) . (h - x)) is V11() V12() ext-real Element of REAL
K36((((sin (#) sin) . h) * (sin . h)),K38((((sin (#) sin) (#) sin) . (h - x)))) is V11() V12() ext-real set
(sin . h) * (sin . h) is V11() V12() ext-real Element of REAL
((sin . h) * (sin . h)) * (sin . h) is V11() V12() ext-real Element of REAL
(((sin . h) * (sin . h)) * (sin . h)) - (((sin (#) sin) (#) sin) . (h - x)) is V11() V12() ext-real Element of REAL
K36((((sin . h) * (sin . h)) * (sin . h)),K38((((sin (#) sin) (#) sin) . (h - x)))) is V11() V12() ext-real set
(sin (#) sin) . (h - x) is V11() V12() ext-real Element of REAL
sin . (h - x) is V11() V12() ext-real Element of REAL
((sin (#) sin) . (h - x)) * (sin . (h - x)) is V11() V12() ext-real Element of REAL
(((sin . h) * (sin . h)) * (sin . h)) - (((sin (#) sin) . (h - x)) * (sin . (h - x))) is V11() V12() ext-real Element of REAL
K38((((sin (#) sin) . (h - x)) * (sin . (h - x)))) is V11() V12() ext-real set
K36((((sin . h) * (sin . h)) * (sin . h)),K38((((sin (#) sin) . (h - x)) * (sin . (h - x))))) is V11() V12() ext-real set
sin h is V11() V12() ext-real Element of REAL
sin . h is V11() V12() ext-real Element of REAL
(sin h) * (sin h) is V11() V12() ext-real Element of REAL
((sin h) * (sin h)) * (sin h) is V11() V12() ext-real Element of REAL
sin (h - x) is V11() V12() ext-real Element of REAL
sin . (h - x) is V11() V12() ext-real Element of REAL
(sin (h - x)) * (sin (h - x)) is V11() V12() ext-real Element of REAL
((sin (h - x)) * (sin (h - x))) * (sin (h - x)) is V11() V12() ext-real Element of REAL
(((sin h) * (sin h)) * (sin h)) - (((sin (h - x)) * (sin (h - x))) * (sin (h - x))) is V11() V12() ext-real Element of REAL
K38((((sin (h - x)) * (sin (h - x))) * (sin (h - x)))) is V11() V12() ext-real set
K36((((sin h) * (sin h)) * (sin h)),K38((((sin (h - x)) * (sin (h - x))) * (sin (h - x))))) is V11() V12() ext-real set
1 / 4 is V1() V11() V12() ext-real Element of REAL
h + h is V11() V12() ext-real Element of REAL
(h + h) - h is V11() V12() ext-real Element of REAL
K38(h) is V11() V12() ext-real set
K36((h + h),K38(h)) is V11() V12() ext-real set
sin ((h + h) - h) is V11() V12() ext-real Element of REAL
sin . ((h + h) - h) is V11() V12() ext-real Element of REAL
(sin ((h + h) - h)) + (sin ((h + h) - h)) is V11() V12() ext-real Element of REAL
((sin ((h + h) - h)) + (sin ((h + h) - h))) + (sin ((h + h) - h)) is V11() V12() ext-real Element of REAL
(h + h) + h is V11() V12() ext-real Element of REAL
sin ((h + h) + h) is V11() V12() ext-real Element of REAL
sin . ((h + h) + h) is V11() V12() ext-real Element of REAL
(((sin ((h + h) - h)) + (sin ((h + h) - h))) + (sin ((h + h) - h))) - (sin ((h + h) + h)) is V11() V12() ext-real Element of REAL
K38((sin ((h + h) + h))) is V11() V12() ext-real set
K36((((sin ((h + h) - h)) + (sin ((h + h) - h))) + (sin ((h + h) - h))),K38((sin ((h + h) + h)))) is V11() V12() ext-real set
(1 / 4) * ((((sin ((h + h) - h)) + (sin ((h + h) - h))) + (sin ((h + h) - h))) - (sin ((h + h) + h))) is V11() V12() ext-real Element of REAL
((1 / 4) * ((((sin ((h + h) - h)) + (sin ((h + h) - h))) + (sin ((h + h) - h))) - (sin ((h + h) + h)))) - (((sin (h - x)) * (sin (h - x))) * (sin (h - x))) is V11() V12() ext-real Element of REAL
K36(((1 / 4) * ((((sin ((h + h) - h)) + (sin ((h + h) - h))) + (sin ((h + h) - h))) - (sin ((h + h) + h)))),K38((((sin (h - x)) * (sin (h - x))) * (sin (h - x))))) is V11() V12() ext-real set
(sin h) + (sin h) is V11() V12() ext-real Element of REAL
((sin h) + (sin h)) + (sin h) is V11() V12() ext-real Element of REAL
3 * h is V11() V12() ext-real Element of REAL
sin (3 * h) is V11() V12() ext-real Element of REAL
sin . (3 * h) is V11() V12() ext-real Element of REAL
(((sin h) + (sin h)) + (sin h)) - (sin (3 * h)) is V11() V12() ext-real Element of REAL
K38((sin (3 * h))) is V11() V12() ext-real set
K36((((sin h) + (sin h)) + (sin h)),K38((sin (3 * h)))) is V11() V12() ext-real set
(1 / 4) * ((((sin h) + (sin h)) + (sin h)) - (sin (3 * h))) is V11() V12() ext-real Element of REAL
(h - x) + (h - x) is V11() V12() ext-real Element of REAL
((h - x) + (h - x)) - (h - x) is V11() V12() ext-real Element of REAL
K38((h - x)) is V11() V12() ext-real set
K36(((h - x) + (h - x)),K38((h - x))) is V11() V12() ext-real set
sin (((h - x) + (h - x)) - (h - x)) is V11() V12() ext-real Element of REAL
sin . (((h - x) + (h - x)) - (h - x)) is V11() V12() ext-real Element of REAL
(sin (((h - x) + (h - x)) - (h - x))) + (sin (((h - x) + (h - x)) - (h - x))) is V11() V12() ext-real Element of REAL
((sin (((h - x) + (h - x)) - (h - x))) + (sin (((h - x) + (h - x)) - (h - x)))) + (sin (((h - x) + (h - x)) - (h - x))) is V11() V12() ext-real Element of REAL
((h - x) + (h - x)) + (h - x) is V11() V12() ext-real Element of REAL
sin (((h - x) + (h - x)) + (h - x)) is V11() V12() ext-real Element of REAL
sin . (((h - x) + (h - x)) + (h - x)) is V11() V12() ext-real Element of REAL
(((sin (((h - x) + (h - x)) - (h - x))) + (sin (((h - x) + (h - x)) - (h - x)))) + (sin (((h - x) + (h - x)) - (h - x)))) - (sin (((h - x) + (h - x)) + (h - x))) is V11() V12() ext-real Element of REAL
K38((sin (((h - x) + (h - x)) + (h - x)))) is V11() V12() ext-real set
K36((((sin (((h - x) + (h - x)) - (h - x))) + (sin (((h - x) + (h - x)) - (h - x)))) + (sin (((h - x) + (h - x)) - (h - x)))),K38((sin (((h - x) + (h - x)) + (h - x))))) is V11() V12() ext-real set
(1 / 4) * ((((sin (((h - x) + (h - x)) - (h - x))) + (sin (((h - x) + (h - x)) - (h - x)))) + (sin (((h - x) + (h - x)) - (h - x)))) - (sin (((h - x) + (h - x)) + (h - x)))) is V11() V12() ext-real Element of REAL
((1 / 4) * ((((sin h) + (sin h)) + (sin h)) - (sin (3 * h)))) - ((1 / 4) * ((((sin (((h - x) + (h - x)) - (h - x))) + (sin (((h - x) + (h - x)) - (h - x)))) + (sin (((h - x) + (h - x)) - (h - x)))) - (sin (((h - x) + (h - x)) + (h - x))))) is V11() V12() ext-real Element of REAL
K38(((1 / 4) * ((((sin (((h - x) + (h - x)) - (h - x))) + (sin (((h - x) + (h - x)) - (h - x)))) + (sin (((h - x) + (h - x)) - (h - x)))) - (sin (((h - x) + (h - x)) + (h - x)))))) is V11() V12() ext-real set
K36(((1 / 4) * ((((sin h) + (sin h)) + (sin h)) - (sin (3 * h)))),K38(((1 / 4) * ((((sin (((h - x) + (h - x)) - (h - x))) + (sin (((h - x) + (h - x)) - (h - x)))) + (sin (((h - x) + (h - x)) - (h - x)))) - (sin (((h - x) + (h - x)) + (h - x))))))) is V11() V12() ext-real set
(sin h) - (sin (h - x)) is V11() V12() ext-real Element of REAL
K38((sin (h - x))) is V11() V12() ext-real set
K36((sin h),K38((sin (h - x)))) is V11() V12() ext-real set
3 * ((sin h) - (sin (h - x))) is V11() V12() ext-real Element of REAL
3 * (h - x) is V11() V12() ext-real Element of REAL
sin (3 * (h - x)) is V11() V12() ext-real Element of REAL
sin . (3 * (h - x)) is V11() V12() ext-real Element of REAL
(sin (3 * h)) - (sin (3 * (h - x))) is V11() V12() ext-real Element of REAL
K38((sin (3 * (h - x)))) is V11() V12() ext-real set
K36((sin (3 * h)),K38((sin (3 * (h - x))))) is V11() V12() ext-real set
(3 * ((sin h) - (sin (h - x)))) - ((sin (3 * h)) - (sin (3 * (h - x)))) is V11() V12() ext-real Element of REAL
K38(((sin (3 * h)) - (sin (3 * (h - x))))) is V11() V12() ext-real set
K36((3 * ((sin h) - (sin (h - x)))),K38(((sin (3 * h)) - (sin (3 * (h - x)))))) is V11() V12() ext-real set
(1 / 4) * ((3 * ((sin h) - (sin (h - x)))) - ((sin (3 * h)) - (sin (3 * (h - x))))) is V11() V12() ext-real Element of REAL
h + (h - x) is V11() V12() ext-real Element of REAL
(h + (h - x)) / 2 is V11() V12() ext-real Element of REAL
K37((h + (h - x)),K39(2)) is V11() V12() ext-real set
cos ((h + (h - x)) / 2) is V11() V12() ext-real Element of REAL
cos . ((h + (h - x)) / 2) is V11() V12() ext-real Element of REAL
h - (h - x) is V11() V12() ext-real Element of REAL
K36(h,K38((h - x))) is V11() V12() ext-real set
(h - (h - x)) / 2 is V11() V12() ext-real Element of REAL
K37((h - (h - x)),K39(2)) is V11() V12() ext-real set
sin ((h - (h - x)) / 2) is V11() V12() ext-real Element of REAL
sin . ((h - (h - x)) / 2) is V11() V12() ext-real Element of REAL
(cos ((h + (h - x)) / 2)) * (sin ((h - (h - x)) / 2)) is V11() V12() ext-real Element of REAL
2 * ((cos ((h + (h - x)) / 2)) * (sin ((h - (h - x)) / 2))) is V11() V12() ext-real Element of REAL
3 * (2 * ((cos ((h + (h - x)) / 2)) * (sin ((h - (h - x)) / 2)))) is V11() V12() ext-real Element of REAL
(3 * (2 * ((cos ((h + (h - x)) / 2)) * (sin ((h - (h - x)) / 2))))) - ((sin (3 * h)) - (sin (3 * (h - x)))) is V11() V12() ext-real Element of REAL
K36((3 * (2 * ((cos ((h + (h - x)) / 2)) * (sin ((h - (h - x)) / 2))))),K38(((sin (3 * h)) - (sin (3 * (h - x)))))) is V11() V12() ext-real set
(1 / 4) * ((3 * (2 * ((cos ((h + (h - x)) / 2)) * (sin ((h - (h - x)) / 2))))) - ((sin (3 * h)) - (sin (3 * (h - x))))) is V11() V12() ext-real Element of REAL
(cos (((2 * h) - x) / 2)) * (sin (x / 2)) is V11() V12() ext-real Element of REAL
2 * ((cos (((2 * h) - x) / 2)) * (sin (x / 2))) is V11() V12() ext-real Element of REAL
3 * (2 * ((cos (((2 * h) - x) / 2)) * (sin (x / 2)))) is V11() V12() ext-real Element of REAL
(3 * h) + (3 * (h - x)) is V11() V12() ext-real Element of REAL
((3 * h) + (3 * (h - x))) / 2 is V11() V12() ext-real Element of REAL
K37(((3 * h) + (3 * (h - x))),K39(2)) is V11() V12() ext-real set
cos (((3 * h) + (3 * (h - x))) / 2) is V11() V12() ext-real Element of REAL
cos . (((3 * h) + (3 * (h - x))) / 2) is V11() V12() ext-real Element of REAL
(3 * h) - (3 * (h - x)) is V11() V12() ext-real Element of REAL
K38((3 * (h - x))) is V11() V12() ext-real set
K36((3 * h),K38((3 * (h - x)))) is V11() V12() ext-real set
((3 * h) - (3 * (h - x))) / 2 is V11() V12() ext-real Element of REAL
K37(((3 * h) - (3 * (h - x))),K39(2)) is V11() V12() ext-real set
sin (((3 * h) - (3 * (h - x))) / 2) is V11() V12() ext-real Element of REAL
sin . (((3 * h) - (3 * (h - x))) / 2) is V11() V12() ext-real Element of REAL
(cos (((3 * h) + (3 * (h - x))) / 2)) * (sin (((3 * h) - (3 * (h - x))) / 2)) is V11() V12() ext-real Element of REAL
2 * ((cos (((3 * h) + (3 * (h - x))) / 2)) * (sin (((3 * h) - (3 * (h - x))) / 2))) is V11() V12() ext-real Element of REAL
(3 * (2 * ((cos (((2 * h) - x) / 2)) * (sin (x / 2))))) - (2 * ((cos (((3 * h) + (3 * (h - x))) / 2)) * (sin (((3 * h) - (3 * (h - x))) / 2)))) is V11() V12() ext-real Element of REAL
K38((2 * ((cos (((3 * h) + (3 * (h - x))) / 2)) * (sin (((3 * h) - (3 * (h - x))) / 2))))) is V11() V12() ext-real set
K36((3 * (2 * ((cos (((2 * h) - x) / 2)) * (sin (x / 2))))),K38((2 * ((cos (((3 * h) + (3 * (h - x))) / 2)) * (sin (((3 * h) - (3 * (h - x))) / 2)))))) is V11() V12() ext-real set
(1 / 4) * ((3 * (2 * ((cos (((2 * h) - x) / 2)) * (sin (x / 2))))) - (2 * ((cos (((3 * h) + (3 * (h - x))) / 2)) * (sin (((3 * h) - (3 * (h - x))) / 2))))) is V11() V12() ext-real Element of REAL
x is V11() V12() ext-real Element of REAL
cD (((sin (#) sin) (#) sin),x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
x / 2 is V11() V12() ext-real Element of REAL
K37(x,K39(2)) is V11() V12() ext-real set
Shift (((sin (#) sin) (#) sin),(x / 2)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
- (x / 2) is V11() V12() ext-real Element of REAL
Shift (((sin (#) sin) (#) sin),(- (x / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (((sin (#) sin) (#) sin),(x / 2))) - (Shift (((sin (#) sin) (#) sin),(- (x / 2)))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
x / 2 is V11() V12() ext-real Element of REAL
sin (x / 2) is V11() V12() ext-real Element of REAL
sin . (x / 2) is V11() V12() ext-real Element of REAL
3 * x is V11() V12() ext-real Element of REAL
(3 * x) / 2 is V11() V12() ext-real Element of REAL
K37((3 * x),K39(2)) is V11() V12() ext-real set
sin ((3 * x) / 2) is V11() V12() ext-real Element of REAL
sin . ((3 * x) / 2) is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
(cD (((sin (#) sin) (#) sin),x)) . h is V11() V12() ext-real Element of REAL
cos h is V11() V12() ext-real Element of REAL
cos . h is V11() V12() ext-real Element of REAL
3 * (cos h) is V11() V12() ext-real Element of REAL
(3 * (cos h)) * (sin (x / 2)) is V11() V12() ext-real Element of REAL
3 * h is V11() V12() ext-real Element of REAL
cos (3 * h) is V11() V12() ext-real Element of REAL
cos . (3 * h) is V11() V12() ext-real Element of REAL
(cos (3 * h)) * (sin ((3 * x) / 2)) is V11() V12() ext-real Element of REAL
((3 * (cos h)) * (sin (x / 2))) - ((cos (3 * h)) * (sin ((3 * x) / 2))) is V11() V12() ext-real Element of REAL
K38(((cos (3 * h)) * (sin ((3 * x) / 2)))) is V11() V12() ext-real set
K36(((3 * (cos h)) * (sin (x / 2))),K38(((cos (3 * h)) * (sin ((3 * x) / 2))))) is V11() V12() ext-real set
(1 / 2) * (((3 * (cos h)) * (sin (x / 2))) - ((cos (3 * h)) * (sin ((3 * x) / 2)))) is V11() V12() ext-real Element of REAL
h + (x / 2) is V11() V12() ext-real Element of REAL
((sin (#) sin) (#) sin) . (h + (x / 2)) is V11() V12() ext-real Element of REAL
h - (x / 2) is V11() V12() ext-real Element of REAL
K38((x / 2)) is V11() V12() ext-real set
K36(h,K38((x / 2))) is V11() V12() ext-real set
((sin (#) sin) (#) sin) . (h - (x / 2)) is V11() V12() ext-real Element of REAL
(((sin (#) sin) (#) sin) . (h + (x / 2))) - (((sin (#) sin) (#) sin) . (h - (x / 2))) is V11() V12() ext-real Element of REAL
K38((((sin (#) sin) (#) sin) . (h - (x / 2)))) is V11() V12() ext-real set
K36((((sin (#) sin) (#) sin) . (h + (x / 2))),K38((((sin (#) sin) (#) sin) . (h - (x / 2))))) is V11() V12() ext-real set
(sin (#) sin) . (h + (x / 2)) is V11() V12() ext-real Element of REAL
sin . (h + (x / 2)) is V11() V12() ext-real Element of REAL
((sin (#) sin) . (h + (x / 2))) * (sin . (h + (x / 2))) is V11() V12() ext-real Element of REAL
(((sin (#) sin) . (h + (x / 2))) * (sin . (h + (x / 2)))) - (((sin (#) sin) (#) sin) . (h - (x / 2))) is V11() V12() ext-real Element of REAL
K36((((sin (#) sin) . (h + (x / 2))) * (sin . (h + (x / 2)))),K38((((sin (#) sin) (#) sin) . (h - (x / 2))))) is V11() V12() ext-real set
(sin . (h + (x / 2))) * (sin . (h + (x / 2))) is V11() V12() ext-real Element of REAL
((sin . (h + (x / 2))) * (sin . (h + (x / 2)))) * (sin . (h + (x / 2))) is V11() V12() ext-real Element of REAL
(((sin . (h + (x / 2))) * (sin . (h + (x / 2)))) * (sin . (h + (x / 2)))) - (((sin (#) sin) (#) sin) . (h - (x / 2))) is V11() V12() ext-real Element of REAL
K36((((sin . (h + (x / 2))) * (sin . (h + (x / 2)))) * (sin . (h + (x / 2)))),K38((((sin (#) sin) (#) sin) . (h - (x / 2))))) is V11() V12() ext-real set
(sin (#) sin) . (h - (x / 2)) is V11() V12() ext-real Element of REAL
sin . (h - (x / 2)) is V11() V12() ext-real Element of REAL
((sin (#) sin) . (h - (x / 2))) * (sin . (h - (x / 2))) is V11() V12() ext-real Element of REAL
(((sin . (h + (x / 2))) * (sin . (h + (x / 2)))) * (sin . (h + (x / 2)))) - (((sin (#) sin) . (h - (x / 2))) * (sin . (h - (x / 2)))) is V11() V12() ext-real Element of REAL
K38((((sin (#) sin) . (h - (x / 2))) * (sin . (h - (x / 2))))) is V11() V12() ext-real set
K36((((sin . (h + (x / 2))) * (sin . (h + (x / 2)))) * (sin . (h + (x / 2)))),K38((((sin (#) sin) . (h - (x / 2))) * (sin . (h - (x / 2)))))) is V11() V12() ext-real set
sin (h + (x / 2)) is V11() V12() ext-real Element of REAL
sin . (h + (x / 2)) is V11() V12() ext-real Element of REAL
(sin (h + (x / 2))) * (sin (h + (x / 2))) is V11() V12() ext-real Element of REAL
((sin (h + (x / 2))) * (sin (h + (x / 2)))) * (sin (h + (x / 2))) is V11() V12() ext-real Element of REAL
sin (h - (x / 2)) is V11() V12() ext-real Element of REAL
sin . (h - (x / 2)) is V11() V12() ext-real Element of REAL
(sin (h - (x / 2))) * (sin (h - (x / 2))) is V11() V12() ext-real Element of REAL
((sin (h - (x / 2))) * (sin (h - (x / 2)))) * (sin (h - (x / 2))) is V11() V12() ext-real Element of REAL
(((sin (h + (x / 2))) * (sin (h + (x / 2)))) * (sin (h + (x / 2)))) - (((sin (h - (x / 2))) * (sin (h - (x / 2)))) * (sin (h - (x / 2)))) is V11() V12() ext-real Element of REAL
K38((((sin (h - (x / 2))) * (sin (h - (x / 2)))) * (sin (h - (x / 2))))) is V11() V12() ext-real set
K36((((sin (h + (x / 2))) * (sin (h + (x / 2)))) * (sin (h + (x / 2)))),K38((((sin (h - (x / 2))) * (sin (h - (x / 2)))) * (sin (h - (x / 2)))))) is V11() V12() ext-real set
1 / 4 is V1() V11() V12() ext-real Element of REAL
(h + (x / 2)) + (h + (x / 2)) is V11() V12() ext-real Element of REAL
((h + (x / 2)) + (h + (x / 2))) - (h + (x / 2)) is V11() V12() ext-real Element of REAL
K38((h + (x / 2))) is V11() V12() ext-real set
K36(((h + (x / 2)) + (h + (x / 2))),K38((h + (x / 2)))) is V11() V12() ext-real set
sin (((h + (x / 2)) + (h + (x / 2))) - (h + (x / 2))) is V11() V12() ext-real Element of REAL
sin . (((h + (x / 2)) + (h + (x / 2))) - (h + (x / 2))) is V11() V12() ext-real Element of REAL
(sin (((h + (x / 2)) + (h + (x / 2))) - (h + (x / 2)))) + (sin (((h + (x / 2)) + (h + (x / 2))) - (h + (x / 2)))) is V11() V12() ext-real Element of REAL
((sin (((h + (x / 2)) + (h + (x / 2))) - (h + (x / 2)))) + (sin (((h + (x / 2)) + (h + (x / 2))) - (h + (x / 2))))) + (sin (((h + (x / 2)) + (h + (x / 2))) - (h + (x / 2)))) is V11() V12() ext-real Element of REAL
((h + (x / 2)) + (h + (x / 2))) + (h + (x / 2)) is V11() V12() ext-real Element of REAL
sin (((h + (x / 2)) + (h + (x / 2))) + (h + (x / 2))) is V11() V12() ext-real Element of REAL
sin . (((h + (x / 2)) + (h + (x / 2))) + (h + (x / 2))) is V11() V12() ext-real Element of REAL
(((sin (((h + (x / 2)) + (h + (x / 2))) - (h + (x / 2)))) + (sin (((h + (x / 2)) + (h + (x / 2))) - (h + (x / 2))))) + (sin (((h + (x / 2)) + (h + (x / 2))) - (h + (x / 2))))) - (sin (((h + (x / 2)) + (h + (x / 2))) + (h + (x / 2)))) is V11() V12() ext-real Element of REAL
K38((sin (((h + (x / 2)) + (h + (x / 2))) + (h + (x / 2))))) is V11() V12() ext-real set
K36((((sin (((h + (x / 2)) + (h + (x / 2))) - (h + (x / 2)))) + (sin (((h + (x / 2)) + (h + (x / 2))) - (h + (x / 2))))) + (sin (((h + (x / 2)) + (h + (x / 2))) - (h + (x / 2))))),K38((sin (((h + (x / 2)) + (h + (x / 2))) + (h + (x / 2)))))) is V11() V12() ext-real set
(1 / 4) * ((((sin (((h + (x / 2)) + (h + (x / 2))) - (h + (x / 2)))) + (sin (((h + (x / 2)) + (h + (x / 2))) - (h + (x / 2))))) + (sin (((h + (x / 2)) + (h + (x / 2))) - (h + (x / 2))))) - (sin (((h + (x / 2)) + (h + (x / 2))) + (h + (x / 2))))) is V11() V12() ext-real Element of REAL
((1 / 4) * ((((sin (((h + (x / 2)) + (h + (x / 2))) - (h + (x / 2)))) + (sin (((h + (x / 2)) + (h + (x / 2))) - (h + (x / 2))))) + (sin (((h + (x / 2)) + (h + (x / 2))) - (h + (x / 2))))) - (sin (((h + (x / 2)) + (h + (x / 2))) + (h + (x / 2)))))) - (((sin (h - (x / 2))) * (sin (h - (x / 2)))) * (sin (h - (x / 2)))) is V11() V12() ext-real Element of REAL
K36(((1 / 4) * ((((sin (((h + (x / 2)) + (h + (x / 2))) - (h + (x / 2)))) + (sin (((h + (x / 2)) + (h + (x / 2))) - (h + (x / 2))))) + (sin (((h + (x / 2)) + (h + (x / 2))) - (h + (x / 2))))) - (sin (((h + (x / 2)) + (h + (x / 2))) + (h + (x / 2)))))),K38((((sin (h - (x / 2))) * (sin (h - (x / 2)))) * (sin (h - (x / 2)))))) is V11() V12() ext-real set
(sin (h + (x / 2))) + (sin (h + (x / 2))) is V11() V12() ext-real Element of REAL
((sin (h + (x / 2))) + (sin (h + (x / 2)))) + (sin (h + (x / 2))) is V11() V12() ext-real Element of REAL
3 * (h + (x / 2)) is V11() V12() ext-real Element of REAL
sin (3 * (h + (x / 2))) is V11() V12() ext-real Element of REAL
sin . (3 * (h + (x / 2))) is V11() V12() ext-real Element of REAL
(((sin (h + (x / 2))) + (sin (h + (x / 2)))) + (sin (h + (x / 2)))) - (sin (3 * (h + (x / 2)))) is V11() V12() ext-real Element of REAL
K38((sin (3 * (h + (x / 2))))) is V11() V12() ext-real set
K36((((sin (h + (x / 2))) + (sin (h + (x / 2)))) + (sin (h + (x / 2)))),K38((sin (3 * (h + (x / 2)))))) is V11() V12() ext-real set
(1 / 4) * ((((sin (h + (x / 2))) + (sin (h + (x / 2)))) + (sin (h + (x / 2)))) - (sin (3 * (h + (x / 2))))) is V11() V12() ext-real Element of REAL
(h - (x / 2)) + (h - (x / 2)) is V11() V12() ext-real Element of REAL
((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2)) is V11() V12() ext-real Element of REAL
K38((h - (x / 2))) is V11() V12() ext-real set
K36(((h - (x / 2)) + (h - (x / 2))),K38((h - (x / 2)))) is V11() V12() ext-real set
sin (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2))) is V11() V12() ext-real Element of REAL
sin . (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2))) is V11() V12() ext-real Element of REAL
(sin (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2)))) + (sin (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2)))) is V11() V12() ext-real Element of REAL
((sin (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2)))) + (sin (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2))))) + (sin (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2)))) is V11() V12() ext-real Element of REAL
((h - (x / 2)) + (h - (x / 2))) + (h - (x / 2)) is V11() V12() ext-real Element of REAL
sin (((h - (x / 2)) + (h - (x / 2))) + (h - (x / 2))) is V11() V12() ext-real Element of REAL
sin . (((h - (x / 2)) + (h - (x / 2))) + (h - (x / 2))) is V11() V12() ext-real Element of REAL
(((sin (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2)))) + (sin (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2))))) + (sin (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2))))) - (sin (((h - (x / 2)) + (h - (x / 2))) + (h - (x / 2)))) is V11() V12() ext-real Element of REAL
K38((sin (((h - (x / 2)) + (h - (x / 2))) + (h - (x / 2))))) is V11() V12() ext-real set
K36((((sin (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2)))) + (sin (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2))))) + (sin (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2))))),K38((sin (((h - (x / 2)) + (h - (x / 2))) + (h - (x / 2)))))) is V11() V12() ext-real set
(1 / 4) * ((((sin (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2)))) + (sin (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2))))) + (sin (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2))))) - (sin (((h - (x / 2)) + (h - (x / 2))) + (h - (x / 2))))) is V11() V12() ext-real Element of REAL
((1 / 4) * ((((sin (h + (x / 2))) + (sin (h + (x / 2)))) + (sin (h + (x / 2)))) - (sin (3 * (h + (x / 2)))))) - ((1 / 4) * ((((sin (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2)))) + (sin (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2))))) + (sin (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2))))) - (sin (((h - (x / 2)) + (h - (x / 2))) + (h - (x / 2)))))) is V11() V12() ext-real Element of REAL
K38(((1 / 4) * ((((sin (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2)))) + (sin (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2))))) + (sin (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2))))) - (sin (((h - (x / 2)) + (h - (x / 2))) + (h - (x / 2))))))) is V11() V12() ext-real set
K36(((1 / 4) * ((((sin (h + (x / 2))) + (sin (h + (x / 2)))) + (sin (h + (x / 2)))) - (sin (3 * (h + (x / 2)))))),K38(((1 / 4) * ((((sin (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2)))) + (sin (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2))))) + (sin (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2))))) - (sin (((h - (x / 2)) + (h - (x / 2))) + (h - (x / 2)))))))) is V11() V12() ext-real set
(sin (h + (x / 2))) - (sin (h - (x / 2))) is V11() V12() ext-real Element of REAL
K38((sin (h - (x / 2)))) is V11() V12() ext-real set
K36((sin (h + (x / 2))),K38((sin (h - (x / 2))))) is V11() V12() ext-real set
3 * ((sin (h + (x / 2))) - (sin (h - (x / 2)))) is V11() V12() ext-real Element of REAL
3 * (h - (x / 2)) is V11() V12() ext-real Element of REAL
sin (3 * (h - (x / 2))) is V11() V12() ext-real Element of REAL
sin . (3 * (h - (x / 2))) is V11() V12() ext-real Element of REAL
(sin (3 * (h + (x / 2)))) - (sin (3 * (h - (x / 2)))) is V11() V12() ext-real Element of REAL
K38((sin (3 * (h - (x / 2))))) is V11() V12() ext-real set
K36((sin (3 * (h + (x / 2)))),K38((sin (3 * (h - (x / 2)))))) is V11() V12() ext-real set
(3 * ((sin (h + (x / 2))) - (sin (h - (x / 2))))) - ((sin (3 * (h + (x / 2)))) - (sin (3 * (h - (x / 2))))) is V11() V12() ext-real Element of REAL
K38(((sin (3 * (h + (x / 2)))) - (sin (3 * (h - (x / 2)))))) is V11() V12() ext-real set
K36((3 * ((sin (h + (x / 2))) - (sin (h - (x / 2))))),K38(((sin (3 * (h + (x / 2)))) - (sin (3 * (h - (x / 2))))))) is V11() V12() ext-real set
(1 / 4) * ((3 * ((sin (h + (x / 2))) - (sin (h - (x / 2))))) - ((sin (3 * (h + (x / 2)))) - (sin (3 * (h - (x / 2)))))) is V11() V12() ext-real Element of REAL
(h + (x / 2)) + (h - (x / 2)) is V11() V12() ext-real Element of REAL
((h + (x / 2)) + (h - (x / 2))) / 2 is V11() V12() ext-real Element of REAL
K37(((h + (x / 2)) + (h - (x / 2))),K39(2)) is V11() V12() ext-real set
cos (((h + (x / 2)) + (h - (x / 2))) / 2) is V11() V12() ext-real Element of REAL
cos . (((h + (x / 2)) + (h - (x / 2))) / 2) is V11() V12() ext-real Element of REAL
(h + (x / 2)) - (h - (x / 2)) is V11() V12() ext-real Element of REAL
K36((h + (x / 2)),K38((h - (x / 2)))) is V11() V12() ext-real set
((h + (x / 2)) - (h - (x / 2))) / 2 is V11() V12() ext-real Element of REAL
K37(((h + (x / 2)) - (h - (x / 2))),K39(2)) is V11() V12() ext-real set
sin (((h + (x / 2)) - (h - (x / 2))) / 2) is V11() V12() ext-real Element of REAL
sin . (((h + (x / 2)) - (h - (x / 2))) / 2) is V11() V12() ext-real Element of REAL
(cos (((h + (x / 2)) + (h - (x / 2))) / 2)) * (sin (((h + (x / 2)) - (h - (x / 2))) / 2)) is V11() V12() ext-real Element of REAL
2 * ((cos (((h + (x / 2)) + (h - (x / 2))) / 2)) * (sin (((h + (x / 2)) - (h - (x / 2))) / 2))) is V11() V12() ext-real Element of REAL
3 * (2 * ((cos (((h + (x / 2)) + (h - (x / 2))) / 2)) * (sin (((h + (x / 2)) - (h - (x / 2))) / 2)))) is V11() V12() ext-real Element of REAL
(3 * (2 * ((cos (((h + (x / 2)) + (h - (x / 2))) / 2)) * (sin (((h + (x / 2)) - (h - (x / 2))) / 2))))) - ((sin (3 * (h + (x / 2)))) - (sin (3 * (h - (x / 2))))) is V11() V12() ext-real Element of REAL
K36((3 * (2 * ((cos (((h + (x / 2)) + (h - (x / 2))) / 2)) * (sin (((h + (x / 2)) - (h - (x / 2))) / 2))))),K38(((sin (3 * (h + (x / 2)))) - (sin (3 * (h - (x / 2))))))) is V11() V12() ext-real set
(1 / 4) * ((3 * (2 * ((cos (((h + (x / 2)) + (h - (x / 2))) / 2)) * (sin (((h + (x / 2)) - (h - (x / 2))) / 2))))) - ((sin (3 * (h + (x / 2)))) - (sin (3 * (h - (x / 2)))))) is V11() V12() ext-real Element of REAL
2 * h is V11() V12() ext-real Element of REAL
(2 * h) / 2 is V11() V12() ext-real Element of REAL
K37((2 * h),K39(2)) is V11() V12() ext-real set
cos ((2 * h) / 2) is V11() V12() ext-real Element of REAL
cos . ((2 * h) / 2) is V11() V12() ext-real Element of REAL
(cos ((2 * h) / 2)) * (sin (x / 2)) is V11() V12() ext-real Element of REAL
2 * ((cos ((2 * h) / 2)) * (sin (x / 2))) is V11() V12() ext-real Element of REAL
3 * (2 * ((cos ((2 * h) / 2)) * (sin (x / 2)))) is V11() V12() ext-real Element of REAL
(3 * (h + (x / 2))) + (3 * (h - (x / 2))) is V11() V12() ext-real Element of REAL
((3 * (h + (x / 2))) + (3 * (h - (x / 2)))) / 2 is V11() V12() ext-real Element of REAL
K37(((3 * (h + (x / 2))) + (3 * (h - (x / 2)))),K39(2)) is V11() V12() ext-real set
cos (((3 * (h + (x / 2))) + (3 * (h - (x / 2)))) / 2) is V11() V12() ext-real Element of REAL
cos . (((3 * (h + (x / 2))) + (3 * (h - (x / 2)))) / 2) is V11() V12() ext-real Element of REAL
(3 * (h + (x / 2))) - (3 * (h - (x / 2))) is V11() V12() ext-real Element of REAL
K38((3 * (h - (x / 2)))) is V11() V12() ext-real set
K36((3 * (h + (x / 2))),K38((3 * (h - (x / 2))))) is V11() V12() ext-real set
((3 * (h + (x / 2))) - (3 * (h - (x / 2)))) / 2 is V11() V12() ext-real Element of REAL
K37(((3 * (h + (x / 2))) - (3 * (h - (x / 2)))),K39(2)) is V11() V12() ext-real set
sin (((3 * (h + (x / 2))) - (3 * (h - (x / 2)))) / 2) is V11() V12() ext-real Element of REAL
sin . (((3 * (h + (x / 2))) - (3 * (h - (x / 2)))) / 2) is V11() V12() ext-real Element of REAL
(cos (((3 * (h + (x / 2))) + (3 * (h - (x / 2)))) / 2)) * (sin (((3 * (h + (x / 2))) - (3 * (h - (x / 2)))) / 2)) is V11() V12() ext-real Element of REAL
2 * ((cos (((3 * (h + (x / 2))) + (3 * (h - (x / 2)))) / 2)) * (sin (((3 * (h + (x / 2))) - (3 * (h - (x / 2)))) / 2))) is V11() V12() ext-real Element of REAL
(3 * (2 * ((cos ((2 * h) / 2)) * (sin (x / 2))))) - (2 * ((cos (((3 * (h + (x / 2))) + (3 * (h - (x / 2)))) / 2)) * (sin (((3 * (h + (x / 2))) - (3 * (h - (x / 2)))) / 2)))) is V11() V12() ext-real Element of REAL
K38((2 * ((cos (((3 * (h + (x / 2))) + (3 * (h - (x / 2)))) / 2)) * (sin (((3 * (h + (x / 2))) - (3 * (h - (x / 2)))) / 2))))) is V11() V12() ext-real set
K36((3 * (2 * ((cos ((2 * h) / 2)) * (sin (x / 2))))),K38((2 * ((cos (((3 * (h + (x / 2))) + (3 * (h - (x / 2)))) / 2)) * (sin (((3 * (h + (x / 2))) - (3 * (h - (x / 2)))) / 2)))))) is V11() V12() ext-real set
(1 / 4) * ((3 * (2 * ((cos ((2 * h) / 2)) * (sin (x / 2))))) - (2 * ((cos (((3 * (h + (x / 2))) + (3 * (h - (x / 2)))) / 2)) * (sin (((3 * (h + (x / 2))) - (3 * (h - (x / 2)))) / 2))))) is V11() V12() ext-real Element of REAL
cos (#) cos is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
(cos (#) cos) (#) cos is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
x is V11() V12() ext-real Element of REAL
3 * x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
[!((cos (#) cos) (#) cos),x,h!] is V11() V12() ext-real Element of REAL
((cos (#) cos) (#) cos) . x is V11() V12() ext-real Element of REAL
((cos (#) cos) (#) cos) . h is V11() V12() ext-real Element of REAL
(((cos (#) cos) (#) cos) . x) - (((cos (#) cos) (#) cos) . h) is V11() V12() ext-real Element of REAL
K38((((cos (#) cos) (#) cos) . h)) is V11() V12() ext-real set
K36((((cos (#) cos) (#) cos) . x),K38((((cos (#) cos) (#) cos) . h))) is V11() V12() ext-real set
K40(x,h) is V11() V12() ext-real set
K38(h) is V11() V12() ext-real set
K36(x,K38(h)) is V11() V12() ext-real set
((((cos (#) cos) (#) cos) . x) - (((cos (#) cos) (#) cos) . h)) / K40(x,h) is V11() V12() ext-real Element of REAL
K39(K40(x,h)) is V11() V12() ext-real set
K37(((((cos (#) cos) (#) cos) . x) - (((cos (#) cos) (#) cos) . h)),K39(K40(x,h))) is V11() V12() ext-real set
x + h is V11() V12() ext-real Element of REAL
(x + h) / 2 is V11() V12() ext-real Element of REAL
K37((x + h),K39(2)) is V11() V12() ext-real set
sin ((x + h) / 2) is V11() V12() ext-real Element of REAL
sin . ((x + h) / 2) is V11() V12() ext-real Element of REAL
3 * (sin ((x + h) / 2)) is V11() V12() ext-real Element of REAL
x - h is V11() V12() ext-real Element of REAL
(x - h) / 2 is V11() V12() ext-real Element of REAL
K37((x - h),K39(2)) is V11() V12() ext-real set
sin ((x - h) / 2) is V11() V12() ext-real Element of REAL
sin . ((x - h) / 2) is V11() V12() ext-real Element of REAL
(3 * (sin ((x + h) / 2))) * (sin ((x - h) / 2)) is V11() V12() ext-real Element of REAL
3 * h is V11() V12() ext-real Element of REAL
(3 * x) + (3 * h) is V11() V12() ext-real Element of REAL
((3 * x) + (3 * h)) / 2 is V11() V12() ext-real Element of REAL
K37(((3 * x) + (3 * h)),K39(2)) is V11() V12() ext-real set
sin (((3 * x) + (3 * h)) / 2) is V11() V12() ext-real Element of REAL
sin . (((3 * x) + (3 * h)) / 2) is V11() V12() ext-real Element of REAL
(3 * x) - (3 * h) is V11() V12() ext-real Element of REAL
K38((3 * h)) is V11() V12() ext-real set
K36((3 * x),K38((3 * h))) is V11() V12() ext-real set
((3 * x) - (3 * h)) / 2 is V11() V12() ext-real Element of REAL
K37(((3 * x) - (3 * h)),K39(2)) is V11() V12() ext-real set
sin (((3 * x) - (3 * h)) / 2) is V11() V12() ext-real Element of REAL
sin . (((3 * x) - (3 * h)) / 2) is V11() V12() ext-real Element of REAL
(sin (((3 * x) + (3 * h)) / 2)) * (sin (((3 * x) - (3 * h)) / 2)) is V11() V12() ext-real Element of REAL
((3 * (sin ((x + h) / 2))) * (sin ((x - h) / 2))) + ((sin (((3 * x) + (3 * h)) / 2)) * (sin (((3 * x) - (3 * h)) / 2))) is V11() V12() ext-real Element of REAL
(1 / 2) * (((3 * (sin ((x + h) / 2))) * (sin ((x - h) / 2))) + ((sin (((3 * x) + (3 * h)) / 2)) * (sin (((3 * x) - (3 * h)) / 2)))) is V11() V12() ext-real Element of REAL
((1 / 2) * (((3 * (sin ((x + h) / 2))) * (sin ((x - h) / 2))) + ((sin (((3 * x) + (3 * h)) / 2)) * (sin (((3 * x) - (3 * h)) / 2))))) / (x - h) is V11() V12() ext-real Element of REAL
K39((x - h)) is V11() V12() ext-real set
K37(((1 / 2) * (((3 * (sin ((x + h) / 2))) * (sin ((x - h) / 2))) + ((sin (((3 * x) + (3 * h)) / 2)) * (sin (((3 * x) - (3 * h)) / 2))))),K39((x - h))) is V11() V12() ext-real set
- (((1 / 2) * (((3 * (sin ((x + h) / 2))) * (sin ((x - h) / 2))) + ((sin (((3 * x) + (3 * h)) / 2)) * (sin (((3 * x) - (3 * h)) / 2))))) / (x - h)) is V11() V12() ext-real Element of REAL
(cos (#) cos) . x is V11() V12() ext-real Element of REAL
cos . x is V11() V12() ext-real Element of REAL
((cos (#) cos) . x) * (cos . x) is V11() V12() ext-real Element of REAL
((cos (#) cos) (#) cos) . h is V11() V12() ext-real Element of REAL
(((cos (#) cos) . x) * (cos . x)) - (((cos (#) cos) (#) cos) . h) is V11() V12() ext-real Element of REAL
K38((((cos (#) cos) (#) cos) . h)) is V11() V12() ext-real set
K36((((cos (#) cos) . x) * (cos . x)),K38((((cos (#) cos) (#) cos) . h))) is V11() V12() ext-real set
((((cos (#) cos) . x) * (cos . x)) - (((cos (#) cos) (#) cos) . h)) / (x - h) is V11() V12() ext-real Element of REAL
K37(((((cos (#) cos) . x) * (cos . x)) - (((cos (#) cos) (#) cos) . h)),K39((x - h))) is V11() V12() ext-real set
(cos . x) * (cos . x) is V11() V12() ext-real Element of REAL
((cos . x) * (cos . x)) * (cos . x) is V11() V12() ext-real Element of REAL
(((cos . x) * (cos . x)) * (cos . x)) - (((cos (#) cos) (#) cos) . h) is V11() V12() ext-real Element of REAL
K36((((cos . x) * (cos . x)) * (cos . x)),K38((((cos (#) cos) (#) cos) . h))) is V11() V12() ext-real set
((((cos . x) * (cos . x)) * (cos . x)) - (((cos (#) cos) (#) cos) . h)) / (x - h) is V11() V12() ext-real Element of REAL
K37(((((cos . x) * (cos . x)) * (cos . x)) - (((cos (#) cos) (#) cos) . h)),K39((x - h))) is V11() V12() ext-real set
(cos (#) cos) . h is V11() V12() ext-real Element of REAL
cos . h is V11() V12() ext-real Element of REAL
((cos (#) cos) . h) * (cos . h) is V11() V12() ext-real Element of REAL
(((cos . x) * (cos . x)) * (cos . x)) - (((cos (#) cos) . h) * (cos . h)) is V11() V12() ext-real Element of REAL
K38((((cos (#) cos) . h) * (cos . h))) is V11() V12() ext-real set
K36((((cos . x) * (cos . x)) * (cos . x)),K38((((cos (#) cos) . h) * (cos . h)))) is V11() V12() ext-real set
((((cos . x) * (cos . x)) * (cos . x)) - (((cos (#) cos) . h) * (cos . h))) / (x - h) is V11() V12() ext-real Element of REAL
K37(((((cos . x) * (cos . x)) * (cos . x)) - (((cos (#) cos) . h) * (cos . h))),K39((x - h))) is V11() V12() ext-real set
cos x is V11() V12() ext-real Element of REAL
cos . x is V11() V12() ext-real Element of REAL
(cos x) * (cos x) is V11() V12() ext-real Element of REAL
((cos x) * (cos x)) * (cos x) is V11() V12() ext-real Element of REAL
cos h is V11() V12() ext-real Element of REAL
cos . h is V11() V12() ext-real Element of REAL
(cos h) * (cos h) is V11() V12() ext-real Element of REAL
((cos h) * (cos h)) * (cos h) is V11() V12() ext-real Element of REAL
(((cos x) * (cos x)) * (cos x)) - (((cos h) * (cos h)) * (cos h)) is V11() V12() ext-real Element of REAL
K38((((cos h) * (cos h)) * (cos h))) is V11() V12() ext-real set
K36((((cos x) * (cos x)) * (cos x)),K38((((cos h) * (cos h)) * (cos h)))) is V11() V12() ext-real set
((((cos x) * (cos x)) * (cos x)) - (((cos h) * (cos h)) * (cos h))) / (x - h) is V11() V12() ext-real Element of REAL
K37(((((cos x) * (cos x)) * (cos x)) - (((cos h) * (cos h)) * (cos h))),K39((x - h))) is V11() V12() ext-real set
1 / 4 is V1() V11() V12() ext-real Element of REAL
x + x is V11() V12() ext-real Element of REAL
(x + x) - x is V11() V12() ext-real Element of REAL
K38(x) is V11() V12() ext-real set
K36((x + x),K38(x)) is V11() V12() ext-real set
cos ((x + x) - x) is V11() V12() ext-real Element of REAL
cos . ((x + x) - x) is V11() V12() ext-real Element of REAL
(cos ((x + x) - x)) + (cos ((x + x) - x)) is V11() V12() ext-real Element of REAL
((cos ((x + x) - x)) + (cos ((x + x) - x))) + (cos ((x + x) - x)) is V11() V12() ext-real Element of REAL
(x + x) + x is V11() V12() ext-real Element of REAL
cos ((x + x) + x) is V11() V12() ext-real Element of REAL
cos . ((x + x) + x) is V11() V12() ext-real Element of REAL
(((cos ((x + x) - x)) + (cos ((x + x) - x))) + (cos ((x + x) - x))) + (cos ((x + x) + x)) is V11() V12() ext-real Element of REAL
(1 / 4) * ((((cos ((x + x) - x)) + (cos ((x + x) - x))) + (cos ((x + x) - x))) + (cos ((x + x) + x))) is V11() V12() ext-real Element of REAL
((1 / 4) * ((((cos ((x + x) - x)) + (cos ((x + x) - x))) + (cos ((x + x) - x))) + (cos ((x + x) + x)))) - (((cos h) * (cos h)) * (cos h)) is V11() V12() ext-real Element of REAL
K36(((1 / 4) * ((((cos ((x + x) - x)) + (cos ((x + x) - x))) + (cos ((x + x) - x))) + (cos ((x + x) + x)))),K38((((cos h) * (cos h)) * (cos h)))) is V11() V12() ext-real set
(((1 / 4) * ((((cos ((x + x) - x)) + (cos ((x + x) - x))) + (cos ((x + x) - x))) + (cos ((x + x) + x)))) - (((cos h) * (cos h)) * (cos h))) / (x - h) is V11() V12() ext-real Element of REAL
K37((((1 / 4) * ((((cos ((x + x) - x)) + (cos ((x + x) - x))) + (cos ((x + x) - x))) + (cos ((x + x) + x)))) - (((cos h) * (cos h)) * (cos h))),K39((x - h))) is V11() V12() ext-real set
(cos x) + (cos x) is V11() V12() ext-real Element of REAL
((cos x) + (cos x)) + (cos x) is V11() V12() ext-real Element of REAL
cos (3 * x) is V11() V12() ext-real Element of REAL
cos . (3 * x) is V11() V12() ext-real Element of REAL
(((cos x) + (cos x)) + (cos x)) + (cos (3 * x)) is V11() V12() ext-real Element of REAL
(1 / 4) * ((((cos x) + (cos x)) + (cos x)) + (cos (3 * x))) is V11() V12() ext-real Element of REAL
h + h is V11() V12() ext-real Element of REAL
(h + h) - h is V11() V12() ext-real Element of REAL
K36((h + h),K38(h)) is V11() V12() ext-real set
cos ((h + h) - h) is V11() V12() ext-real Element of REAL
cos . ((h + h) - h) is V11() V12() ext-real Element of REAL
(cos ((h + h) - h)) + (cos ((h + h) - h)) is V11() V12() ext-real Element of REAL
((cos ((h + h) - h)) + (cos ((h + h) - h))) + (cos ((h + h) - h)) is V11() V12() ext-real Element of REAL
(h + h) + h is V11() V12() ext-real Element of REAL
cos ((h + h) + h) is V11() V12() ext-real Element of REAL
cos . ((h + h) + h) is V11() V12() ext-real Element of REAL
(((cos ((h + h) - h)) + (cos ((h + h) - h))) + (cos ((h + h) - h))) + (cos ((h + h) + h)) is V11() V12() ext-real Element of REAL
(1 / 4) * ((((cos ((h + h) - h)) + (cos ((h + h) - h))) + (cos ((h + h) - h))) + (cos ((h + h) + h))) is V11() V12() ext-real Element of REAL
((1 / 4) * ((((cos x) + (cos x)) + (cos x)) + (cos (3 * x)))) - ((1 / 4) * ((((cos ((h + h) - h)) + (cos ((h + h) - h))) + (cos ((h + h) - h))) + (cos ((h + h) + h)))) is V11() V12() ext-real Element of REAL
K38(((1 / 4) * ((((cos ((h + h) - h)) + (cos ((h + h) - h))) + (cos ((h + h) - h))) + (cos ((h + h) + h))))) is V11() V12() ext-real set
K36(((1 / 4) * ((((cos x) + (cos x)) + (cos x)) + (cos (3 * x)))),K38(((1 / 4) * ((((cos ((h + h) - h)) + (cos ((h + h) - h))) + (cos ((h + h) - h))) + (cos ((h + h) + h)))))) is V11() V12() ext-real set
(((1 / 4) * ((((cos x) + (cos x)) + (cos x)) + (cos (3 * x)))) - ((1 / 4) * ((((cos ((h + h) - h)) + (cos ((h + h) - h))) + (cos ((h + h) - h))) + (cos ((h + h) + h))))) / (x - h) is V11() V12() ext-real Element of REAL
K37((((1 / 4) * ((((cos x) + (cos x)) + (cos x)) + (cos (3 * x)))) - ((1 / 4) * ((((cos ((h + h) - h)) + (cos ((h + h) - h))) + (cos ((h + h) - h))) + (cos ((h + h) + h))))),K39((x - h))) is V11() V12() ext-real set
(cos x) - (cos h) is V11() V12() ext-real Element of REAL
K38((cos h)) is V11() V12() ext-real set
K36((cos x),K38((cos h))) is V11() V12() ext-real set
3 * ((cos x) - (cos h)) is V11() V12() ext-real Element of REAL
cos (3 * h) is V11() V12() ext-real Element of REAL
cos . (3 * h) is V11() V12() ext-real Element of REAL
(cos (3 * x)) - (cos (3 * h)) is V11() V12() ext-real Element of REAL
K38((cos (3 * h))) is V11() V12() ext-real set
K36((cos (3 * x)),K38((cos (3 * h)))) is V11() V12() ext-real set
(3 * ((cos x) - (cos h))) + ((cos (3 * x)) - (cos (3 * h))) is V11() V12() ext-real Element of REAL
(1 / 4) * ((3 * ((cos x) - (cos h))) + ((cos (3 * x)) - (cos (3 * h)))) is V11() V12() ext-real Element of REAL
((1 / 4) * ((3 * ((cos x) - (cos h))) + ((cos (3 * x)) - (cos (3 * h))))) / (x - h) is V11() V12() ext-real Element of REAL
K37(((1 / 4) * ((3 * ((cos x) - (cos h))) + ((cos (3 * x)) - (cos (3 * h))))),K39((x - h))) is V11() V12() ext-real set
(sin ((x + h) / 2)) * (sin ((x - h) / 2)) is V11() V12() ext-real Element of REAL
2 * ((sin ((x + h) / 2)) * (sin ((x - h) / 2))) is V11() V12() ext-real Element of REAL
- (2 * ((sin ((x + h) / 2)) * (sin ((x - h) / 2)))) is V11() V12() ext-real Element of REAL
3 * (- (2 * ((sin ((x + h) / 2)) * (sin ((x - h) / 2))))) is V11() V12() ext-real Element of REAL
(3 * (- (2 * ((sin ((x + h) / 2)) * (sin ((x - h) / 2)))))) + ((cos (3 * x)) - (cos (3 * h))) is V11() V12() ext-real Element of REAL
(1 / 4) * ((3 * (- (2 * ((sin ((x + h) / 2)) * (sin ((x - h) / 2)))))) + ((cos (3 * x)) - (cos (3 * h)))) is V11() V12() ext-real Element of REAL
((1 / 4) * ((3 * (- (2 * ((sin ((x + h) / 2)) * (sin ((x - h) / 2)))))) + ((cos (3 * x)) - (cos (3 * h))))) / (x - h) is V11() V12() ext-real Element of REAL
K37(((1 / 4) * ((3 * (- (2 * ((sin ((x + h) / 2)) * (sin ((x - h) / 2)))))) + ((cos (3 * x)) - (cos (3 * h))))),K39((x - h))) is V11() V12() ext-real set
- 2 is V1() V11() V12() ext-real Element of REAL
3 * (- 2) is V1() V11() V12() ext-real Element of REAL
(3 * (- 2)) * ((sin ((x + h) / 2)) * (sin ((x - h) / 2))) is V11() V12() ext-real Element of REAL
2 * ((sin (((3 * x) + (3 * h)) / 2)) * (sin (((3 * x) - (3 * h)) / 2))) is V11() V12() ext-real Element of REAL
- (2 * ((sin (((3 * x) + (3 * h)) / 2)) * (sin (((3 * x) - (3 * h)) / 2)))) is V11() V12() ext-real Element of REAL
((3 * (- 2)) * ((sin ((x + h) / 2)) * (sin ((x - h) / 2)))) + (- (2 * ((sin (((3 * x) + (3 * h)) / 2)) * (sin (((3 * x) - (3 * h)) / 2))))) is V11() V12() ext-real Element of REAL
(1 / 4) * (((3 * (- 2)) * ((sin ((x + h) / 2)) * (sin ((x - h) / 2)))) + (- (2 * ((sin (((3 * x) + (3 * h)) / 2)) * (sin (((3 * x) - (3 * h)) / 2)))))) is V11() V12() ext-real Element of REAL
((1 / 4) * (((3 * (- 2)) * ((sin ((x + h) / 2)) * (sin ((x - h) / 2)))) + (- (2 * ((sin (((3 * x) + (3 * h)) / 2)) * (sin (((3 * x) - (3 * h)) / 2))))))) / (x - h) is V11() V12() ext-real Element of REAL
K37(((1 / 4) * (((3 * (- 2)) * ((sin ((x + h) / 2)) * (sin ((x - h) / 2)))) + (- (2 * ((sin (((3 * x) + (3 * h)) / 2)) * (sin (((3 * x) - (3 * h)) / 2))))))),K39((x - h))) is V11() V12() ext-real set
- ((1 / 2) * (((3 * (sin ((x + h) / 2))) * (sin ((x - h) / 2))) + ((sin (((3 * x) + (3 * h)) / 2)) * (sin (((3 * x) - (3 * h)) / 2))))) is V11() V12() ext-real Element of REAL
(- ((1 / 2) * (((3 * (sin ((x + h) / 2))) * (sin ((x - h) / 2))) + ((sin (((3 * x) + (3 * h)) / 2)) * (sin (((3 * x) - (3 * h)) / 2)))))) / (x - h) is V11() V12() ext-real Element of REAL
K37((- ((1 / 2) * (((3 * (sin ((x + h) / 2))) * (sin ((x - h) / 2))) + ((sin (((3 * x) + (3 * h)) / 2)) * (sin (((3 * x) - (3 * h)) / 2)))))),K39((x - h))) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
fD (((cos (#) cos) (#) cos),x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (((cos (#) cos) (#) cos),x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (((cos (#) cos) (#) cos),x)) - ((cos (#) cos) (#) cos) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
x / 2 is V11() V12() ext-real Element of REAL
K37(x,K39(2)) is V11() V12() ext-real set
sin (x / 2) is V11() V12() ext-real Element of REAL
sin . (x / 2) is V11() V12() ext-real Element of REAL
3 * x is V11() V12() ext-real Element of REAL
(3 * x) / 2 is V11() V12() ext-real Element of REAL
K37((3 * x),K39(2)) is V11() V12() ext-real set
sin ((3 * x) / 2) is V11() V12() ext-real Element of REAL
sin . ((3 * x) / 2) is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
(fD (((cos (#) cos) (#) cos),x)) . h is V11() V12() ext-real Element of REAL
2 * h is V11() V12() ext-real Element of REAL
(2 * h) + x is V11() V12() ext-real Element of REAL
((2 * h) + x) / 2 is V11() V12() ext-real Element of REAL
K37(((2 * h) + x),K39(2)) is V11() V12() ext-real set
sin (((2 * h) + x) / 2) is V11() V12() ext-real Element of REAL
sin . (((2 * h) + x) / 2) is V11() V12() ext-real Element of REAL
3 * (sin (((2 * h) + x) / 2)) is V11() V12() ext-real Element of REAL
(3 * (sin (((2 * h) + x) / 2))) * (sin (x / 2)) is V11() V12() ext-real Element of REAL
3 * ((2 * h) + x) is V11() V12() ext-real Element of REAL
(3 * ((2 * h) + x)) / 2 is V11() V12() ext-real Element of REAL
K37((3 * ((2 * h) + x)),K39(2)) is V11() V12() ext-real set
sin ((3 * ((2 * h) + x)) / 2) is V11() V12() ext-real Element of REAL
sin . ((3 * ((2 * h) + x)) / 2) is V11() V12() ext-real Element of REAL
(sin ((3 * ((2 * h) + x)) / 2)) * (sin ((3 * x) / 2)) is V11() V12() ext-real Element of REAL
((3 * (sin (((2 * h) + x) / 2))) * (sin (x / 2))) + ((sin ((3 * ((2 * h) + x)) / 2)) * (sin ((3 * x) / 2))) is V11() V12() ext-real Element of REAL
(1 / 2) * (((3 * (sin (((2 * h) + x) / 2))) * (sin (x / 2))) + ((sin ((3 * ((2 * h) + x)) / 2)) * (sin ((3 * x) / 2)))) is V11() V12() ext-real Element of REAL
- ((1 / 2) * (((3 * (sin (((2 * h) + x) / 2))) * (sin (x / 2))) + ((sin ((3 * ((2 * h) + x)) / 2)) * (sin ((3 * x) / 2))))) is V11() V12() ext-real Element of REAL
h + x is V11() V12() ext-real Element of REAL
((cos (#) cos) (#) cos) . (h + x) is V11() V12() ext-real Element of REAL
((cos (#) cos) (#) cos) . h is V11() V12() ext-real Element of REAL
(((cos (#) cos) (#) cos) . (h + x)) - (((cos (#) cos) (#) cos) . h) is V11() V12() ext-real Element of REAL
K38((((cos (#) cos) (#) cos) . h)) is V11() V12() ext-real set
K36((((cos (#) cos) (#) cos) . (h + x)),K38((((cos (#) cos) (#) cos) . h))) is V11() V12() ext-real set
(cos (#) cos) . (h + x) is V11() V12() ext-real Element of REAL
cos . (h + x) is V11() V12() ext-real Element of REAL
((cos (#) cos) . (h + x)) * (cos . (h + x)) is V11() V12() ext-real Element of REAL
(((cos (#) cos) . (h + x)) * (cos . (h + x))) - (((cos (#) cos) (#) cos) . h) is V11() V12() ext-real Element of REAL
K36((((cos (#) cos) . (h + x)) * (cos . (h + x))),K38((((cos (#) cos) (#) cos) . h))) is V11() V12() ext-real set
(cos . (h + x)) * (cos . (h + x)) is V11() V12() ext-real Element of REAL
((cos . (h + x)) * (cos . (h + x))) * (cos . (h + x)) is V11() V12() ext-real Element of REAL
(((cos . (h + x)) * (cos . (h + x))) * (cos . (h + x))) - (((cos (#) cos) (#) cos) . h) is V11() V12() ext-real Element of REAL
K36((((cos . (h + x)) * (cos . (h + x))) * (cos . (h + x))),K38((((cos (#) cos) (#) cos) . h))) is V11() V12() ext-real set
(cos (#) cos) . h is V11() V12() ext-real Element of REAL
cos . h is V11() V12() ext-real Element of REAL
((cos (#) cos) . h) * (cos . h) is V11() V12() ext-real Element of REAL
(((cos . (h + x)) * (cos . (h + x))) * (cos . (h + x))) - (((cos (#) cos) . h) * (cos . h)) is V11() V12() ext-real Element of REAL
K38((((cos (#) cos) . h) * (cos . h))) is V11() V12() ext-real set
K36((((cos . (h + x)) * (cos . (h + x))) * (cos . (h + x))),K38((((cos (#) cos) . h) * (cos . h)))) is V11() V12() ext-real set
cos (h + x) is V11() V12() ext-real Element of REAL
cos . (h + x) is V11() V12() ext-real Element of REAL
(cos (h + x)) * (cos (h + x)) is V11() V12() ext-real Element of REAL
((cos (h + x)) * (cos (h + x))) * (cos (h + x)) is V11() V12() ext-real Element of REAL
cos h is V11() V12() ext-real Element of REAL
cos . h is V11() V12() ext-real Element of REAL
(cos h) * (cos h) is V11() V12() ext-real Element of REAL
((cos h) * (cos h)) * (cos h) is V11() V12() ext-real Element of REAL
(((cos (h + x)) * (cos (h + x))) * (cos (h + x))) - (((cos h) * (cos h)) * (cos h)) is V11() V12() ext-real Element of REAL
K38((((cos h) * (cos h)) * (cos h))) is V11() V12() ext-real set
K36((((cos (h + x)) * (cos (h + x))) * (cos (h + x))),K38((((cos h) * (cos h)) * (cos h)))) is V11() V12() ext-real set
1 / 4 is V1() V11() V12() ext-real Element of REAL
(h + x) + (h + x) is V11() V12() ext-real Element of REAL
((h + x) + (h + x)) - (h + x) is V11() V12() ext-real Element of REAL
K38((h + x)) is V11() V12() ext-real set
K36(((h + x) + (h + x)),K38((h + x))) is V11() V12() ext-real set
cos (((h + x) + (h + x)) - (h + x)) is V11() V12() ext-real Element of REAL
cos . (((h + x) + (h + x)) - (h + x)) is V11() V12() ext-real Element of REAL
(cos (((h + x) + (h + x)) - (h + x))) + (cos (((h + x) + (h + x)) - (h + x))) is V11() V12() ext-real Element of REAL
((cos (((h + x) + (h + x)) - (h + x))) + (cos (((h + x) + (h + x)) - (h + x)))) + (cos (((h + x) + (h + x)) - (h + x))) is V11() V12() ext-real Element of REAL
((h + x) + (h + x)) + (h + x) is V11() V12() ext-real Element of REAL
cos (((h + x) + (h + x)) + (h + x)) is V11() V12() ext-real Element of REAL
cos . (((h + x) + (h + x)) + (h + x)) is V11() V12() ext-real Element of REAL
(((cos (((h + x) + (h + x)) - (h + x))) + (cos (((h + x) + (h + x)) - (h + x)))) + (cos (((h + x) + (h + x)) - (h + x)))) + (cos (((h + x) + (h + x)) + (h + x))) is V11() V12() ext-real Element of REAL
(1 / 4) * ((((cos (((h + x) + (h + x)) - (h + x))) + (cos (((h + x) + (h + x)) - (h + x)))) + (cos (((h + x) + (h + x)) - (h + x)))) + (cos (((h + x) + (h + x)) + (h + x)))) is V11() V12() ext-real Element of REAL
((1 / 4) * ((((cos (((h + x) + (h + x)) - (h + x))) + (cos (((h + x) + (h + x)) - (h + x)))) + (cos (((h + x) + (h + x)) - (h + x)))) + (cos (((h + x) + (h + x)) + (h + x))))) - (((cos h) * (cos h)) * (cos h)) is V11() V12() ext-real Element of REAL
K36(((1 / 4) * ((((cos (((h + x) + (h + x)) - (h + x))) + (cos (((h + x) + (h + x)) - (h + x)))) + (cos (((h + x) + (h + x)) - (h + x)))) + (cos (((h + x) + (h + x)) + (h + x))))),K38((((cos h) * (cos h)) * (cos h)))) is V11() V12() ext-real set
(cos (h + x)) + (cos (h + x)) is V11() V12() ext-real Element of REAL
((cos (h + x)) + (cos (h + x))) + (cos (h + x)) is V11() V12() ext-real Element of REAL
3 * (h + x) is V11() V12() ext-real Element of REAL
cos (3 * (h + x)) is V11() V12() ext-real Element of REAL
cos . (3 * (h + x)) is V11() V12() ext-real Element of REAL
(((cos (h + x)) + (cos (h + x))) + (cos (h + x))) + (cos (3 * (h + x))) is V11() V12() ext-real Element of REAL
(1 / 4) * ((((cos (h + x)) + (cos (h + x))) + (cos (h + x))) + (cos (3 * (h + x)))) is V11() V12() ext-real Element of REAL
h + h is V11() V12() ext-real Element of REAL
(h + h) - h is V11() V12() ext-real Element of REAL
K38(h) is V11() V12() ext-real set
K36((h + h),K38(h)) is V11() V12() ext-real set
cos ((h + h) - h) is V11() V12() ext-real Element of REAL
cos . ((h + h) - h) is V11() V12() ext-real Element of REAL
(cos ((h + h) - h)) + (cos ((h + h) - h)) is V11() V12() ext-real Element of REAL
((cos ((h + h) - h)) + (cos ((h + h) - h))) + (cos ((h + h) - h)) is V11() V12() ext-real Element of REAL
(h + h) + h is V11() V12() ext-real Element of REAL
cos ((h + h) + h) is V11() V12() ext-real Element of REAL
cos . ((h + h) + h) is V11() V12() ext-real Element of REAL
(((cos ((h + h) - h)) + (cos ((h + h) - h))) + (cos ((h + h) - h))) + (cos ((h + h) + h)) is V11() V12() ext-real Element of REAL
(1 / 4) * ((((cos ((h + h) - h)) + (cos ((h + h) - h))) + (cos ((h + h) - h))) + (cos ((h + h) + h))) is V11() V12() ext-real Element of REAL
((1 / 4) * ((((cos (h + x)) + (cos (h + x))) + (cos (h + x))) + (cos (3 * (h + x))))) - ((1 / 4) * ((((cos ((h + h) - h)) + (cos ((h + h) - h))) + (cos ((h + h) - h))) + (cos ((h + h) + h)))) is V11() V12() ext-real Element of REAL
K38(((1 / 4) * ((((cos ((h + h) - h)) + (cos ((h + h) - h))) + (cos ((h + h) - h))) + (cos ((h + h) + h))))) is V11() V12() ext-real set
K36(((1 / 4) * ((((cos (h + x)) + (cos (h + x))) + (cos (h + x))) + (cos (3 * (h + x))))),K38(((1 / 4) * ((((cos ((h + h) - h)) + (cos ((h + h) - h))) + (cos ((h + h) - h))) + (cos ((h + h) + h)))))) is V11() V12() ext-real set
(cos (h + x)) - (cos h) is V11() V12() ext-real Element of REAL
K38((cos h)) is V11() V12() ext-real set
K36((cos (h + x)),K38((cos h))) is V11() V12() ext-real set
3 * ((cos (h + x)) - (cos h)) is V11() V12() ext-real Element of REAL
3 * h is V11() V12() ext-real Element of REAL
cos (3 * h) is V11() V12() ext-real Element of REAL
cos . (3 * h) is V11() V12() ext-real Element of REAL
(cos (3 * (h + x))) - (cos (3 * h)) is V11() V12() ext-real Element of REAL
K38((cos (3 * h))) is V11() V12() ext-real set
K36((cos (3 * (h + x))),K38((cos (3 * h)))) is V11() V12() ext-real set
(3 * ((cos (h + x)) - (cos h))) + ((cos (3 * (h + x))) - (cos (3 * h))) is V11() V12() ext-real Element of REAL
(1 / 4) * ((3 * ((cos (h + x)) - (cos h))) + ((cos (3 * (h + x))) - (cos (3 * h)))) is V11() V12() ext-real Element of REAL
(h + x) + h is V11() V12() ext-real Element of REAL
((h + x) + h) / 2 is V11() V12() ext-real Element of REAL
K37(((h + x) + h),K39(2)) is V11() V12() ext-real set
sin (((h + x) + h) / 2) is V11() V12() ext-real Element of REAL
sin . (((h + x) + h) / 2) is V11() V12() ext-real Element of REAL
(h + x) - h is V11() V12() ext-real Element of REAL
K36((h + x),K38(h)) is V11() V12() ext-real set
((h + x) - h) / 2 is V11() V12() ext-real Element of REAL
K37(((h + x) - h),K39(2)) is V11() V12() ext-real set
sin (((h + x) - h) / 2) is V11() V12() ext-real Element of REAL
sin . (((h + x) - h) / 2) is V11() V12() ext-real Element of REAL
(sin (((h + x) + h) / 2)) * (sin (((h + x) - h) / 2)) is V11() V12() ext-real Element of REAL
2 * ((sin (((h + x) + h) / 2)) * (sin (((h + x) - h) / 2))) is V11() V12() ext-real Element of REAL
- (2 * ((sin (((h + x) + h) / 2)) * (sin (((h + x) - h) / 2)))) is V11() V12() ext-real Element of REAL
3 * (- (2 * ((sin (((h + x) + h) / 2)) * (sin (((h + x) - h) / 2))))) is V11() V12() ext-real Element of REAL
(3 * (- (2 * ((sin (((h + x) + h) / 2)) * (sin (((h + x) - h) / 2)))))) + ((cos (3 * (h + x))) - (cos (3 * h))) is V11() V12() ext-real Element of REAL
(1 / 4) * ((3 * (- (2 * ((sin (((h + x) + h) / 2)) * (sin (((h + x) - h) / 2)))))) + ((cos (3 * (h + x))) - (cos (3 * h)))) is V11() V12() ext-real Element of REAL
(sin (((2 * h) + x) / 2)) * (sin (x / 2)) is V11() V12() ext-real Element of REAL
2 * ((sin (((2 * h) + x) / 2)) * (sin (x / 2))) is V11() V12() ext-real Element of REAL
- (2 * ((sin (((2 * h) + x) / 2)) * (sin (x / 2)))) is V11() V12() ext-real Element of REAL
3 * (- (2 * ((sin (((2 * h) + x) / 2)) * (sin (x / 2))))) is V11() V12() ext-real Element of REAL
(3 * (h + x)) + (3 * h) is V11() V12() ext-real Element of REAL
((3 * (h + x)) + (3 * h)) / 2 is V11() V12() ext-real Element of REAL
K37(((3 * (h + x)) + (3 * h)),K39(2)) is V11() V12() ext-real set
sin (((3 * (h + x)) + (3 * h)) / 2) is V11() V12() ext-real Element of REAL
sin . (((3 * (h + x)) + (3 * h)) / 2) is V11() V12() ext-real Element of REAL
(3 * (h + x)) - (3 * h) is V11() V12() ext-real Element of REAL
K38((3 * h)) is V11() V12() ext-real set
K36((3 * (h + x)),K38((3 * h))) is V11() V12() ext-real set
((3 * (h + x)) - (3 * h)) / 2 is V11() V12() ext-real Element of REAL
K37(((3 * (h + x)) - (3 * h)),K39(2)) is V11() V12() ext-real set
sin (((3 * (h + x)) - (3 * h)) / 2) is V11() V12() ext-real Element of REAL
sin . (((3 * (h + x)) - (3 * h)) / 2) is V11() V12() ext-real Element of REAL
(sin (((3 * (h + x)) + (3 * h)) / 2)) * (sin (((3 * (h + x)) - (3 * h)) / 2)) is V11() V12() ext-real Element of REAL
2 * ((sin (((3 * (h + x)) + (3 * h)) / 2)) * (sin (((3 * (h + x)) - (3 * h)) / 2))) is V11() V12() ext-real Element of REAL
- (2 * ((sin (((3 * (h + x)) + (3 * h)) / 2)) * (sin (((3 * (h + x)) - (3 * h)) / 2)))) is V11() V12() ext-real Element of REAL
(3 * (- (2 * ((sin (((2 * h) + x) / 2)) * (sin (x / 2)))))) + (- (2 * ((sin (((3 * (h + x)) + (3 * h)) / 2)) * (sin (((3 * (h + x)) - (3 * h)) / 2))))) is V11() V12() ext-real Element of REAL
(1 / 4) * ((3 * (- (2 * ((sin (((2 * h) + x) / 2)) * (sin (x / 2)))))) + (- (2 * ((sin (((3 * (h + x)) + (3 * h)) / 2)) * (sin (((3 * (h + x)) - (3 * h)) / 2)))))) is V11() V12() ext-real Element of REAL
- (1 / 2) is V1() V11() V12() ext-real Element of REAL
(- (1 / 2)) * (((3 * (sin (((2 * h) + x) / 2))) * (sin (x / 2))) + ((sin ((3 * ((2 * h) + x)) / 2)) * (sin ((3 * x) / 2)))) is V11() V12() ext-real Element of REAL
x is V11() V12() ext-real Element of REAL
bD (((cos (#) cos) (#) cos),x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
K38(x) is V11() V12() ext-real set
Shift (((cos (#) cos) (#) cos),K38(x)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
((cos (#) cos) (#) cos) - (Shift (((cos (#) cos) (#) cos),K38(x))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
x / 2 is V11() V12() ext-real Element of REAL
K37(x,K39(2)) is V11() V12() ext-real set
sin (x / 2) is V11() V12() ext-real Element of REAL
sin . (x / 2) is V11() V12() ext-real Element of REAL
3 * x is V11() V12() ext-real Element of REAL
(3 * x) / 2 is V11() V12() ext-real Element of REAL
K37((3 * x),K39(2)) is V11() V12() ext-real set
sin ((3 * x) / 2) is V11() V12() ext-real Element of REAL
sin . ((3 * x) / 2) is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
(bD (((cos (#) cos) (#) cos),x)) . h is V11() V12() ext-real Element of REAL
2 * h is V11() V12() ext-real Element of REAL
(2 * h) - x is V11() V12() ext-real Element of REAL
K36((2 * h),K38(x)) is V11() V12() ext-real set
((2 * h) - x) / 2 is V11() V12() ext-real Element of REAL
K37(((2 * h) - x),K39(2)) is V11() V12() ext-real set
sin (((2 * h) - x) / 2) is V11() V12() ext-real Element of REAL
sin . (((2 * h) - x) / 2) is V11() V12() ext-real Element of REAL
3 * (sin (((2 * h) - x) / 2)) is V11() V12() ext-real Element of REAL
(3 * (sin (((2 * h) - x) / 2))) * (sin (x / 2)) is V11() V12() ext-real Element of REAL
3 * ((2 * h) - x) is V11() V12() ext-real Element of REAL
(3 * ((2 * h) - x)) / 2 is V11() V12() ext-real Element of REAL
K37((3 * ((2 * h) - x)),K39(2)) is V11() V12() ext-real set
sin ((3 * ((2 * h) - x)) / 2) is V11() V12() ext-real Element of REAL
sin . ((3 * ((2 * h) - x)) / 2) is V11() V12() ext-real Element of REAL
(sin ((3 * ((2 * h) - x)) / 2)) * (sin ((3 * x) / 2)) is V11() V12() ext-real Element of REAL
((3 * (sin (((2 * h) - x) / 2))) * (sin (x / 2))) + ((sin ((3 * ((2 * h) - x)) / 2)) * (sin ((3 * x) / 2))) is V11() V12() ext-real Element of REAL
(1 / 2) * (((3 * (sin (((2 * h) - x) / 2))) * (sin (x / 2))) + ((sin ((3 * ((2 * h) - x)) / 2)) * (sin ((3 * x) / 2)))) is V11() V12() ext-real Element of REAL
- ((1 / 2) * (((3 * (sin (((2 * h) - x) / 2))) * (sin (x / 2))) + ((sin ((3 * ((2 * h) - x)) / 2)) * (sin ((3 * x) / 2))))) is V11() V12() ext-real Element of REAL
((cos (#) cos) (#) cos) . h is V11() V12() ext-real Element of REAL
h - x is V11() V12() ext-real Element of REAL
K36(h,K38(x)) is V11() V12() ext-real set
((cos (#) cos) (#) cos) . (h - x) is V11() V12() ext-real Element of REAL
(((cos (#) cos) (#) cos) . h) - (((cos (#) cos) (#) cos) . (h - x)) is V11() V12() ext-real Element of REAL
K38((((cos (#) cos) (#) cos) . (h - x))) is V11() V12() ext-real set
K36((((cos (#) cos) (#) cos) . h),K38((((cos (#) cos) (#) cos) . (h - x)))) is V11() V12() ext-real set
(cos (#) cos) . h is V11() V12() ext-real Element of REAL
cos . h is V11() V12() ext-real Element of REAL
((cos (#) cos) . h) * (cos . h) is V11() V12() ext-real Element of REAL
(((cos (#) cos) . h) * (cos . h)) - (((cos (#) cos) (#) cos) . (h - x)) is V11() V12() ext-real Element of REAL
K36((((cos (#) cos) . h) * (cos . h)),K38((((cos (#) cos) (#) cos) . (h - x)))) is V11() V12() ext-real set
(cos . h) * (cos . h) is V11() V12() ext-real Element of REAL
((cos . h) * (cos . h)) * (cos . h) is V11() V12() ext-real Element of REAL
(((cos . h) * (cos . h)) * (cos . h)) - (((cos (#) cos) (#) cos) . (h - x)) is V11() V12() ext-real Element of REAL
K36((((cos . h) * (cos . h)) * (cos . h)),K38((((cos (#) cos) (#) cos) . (h - x)))) is V11() V12() ext-real set
(cos (#) cos) . (h - x) is V11() V12() ext-real Element of REAL
cos . (h - x) is V11() V12() ext-real Element of REAL
((cos (#) cos) . (h - x)) * (cos . (h - x)) is V11() V12() ext-real Element of REAL
(((cos . h) * (cos . h)) * (cos . h)) - (((cos (#) cos) . (h - x)) * (cos . (h - x))) is V11() V12() ext-real Element of REAL
K38((((cos (#) cos) . (h - x)) * (cos . (h - x)))) is V11() V12() ext-real set
K36((((cos . h) * (cos . h)) * (cos . h)),K38((((cos (#) cos) . (h - x)) * (cos . (h - x))))) is V11() V12() ext-real set
cos h is V11() V12() ext-real Element of REAL
cos . h is V11() V12() ext-real Element of REAL
(cos h) * (cos h) is V11() V12() ext-real Element of REAL
((cos h) * (cos h)) * (cos h) is V11() V12() ext-real Element of REAL
cos (h - x) is V11() V12() ext-real Element of REAL
cos . (h - x) is V11() V12() ext-real Element of REAL
(cos (h - x)) * (cos (h - x)) is V11() V12() ext-real Element of REAL
((cos (h - x)) * (cos (h - x))) * (cos (h - x)) is V11() V12() ext-real Element of REAL
(((cos h) * (cos h)) * (cos h)) - (((cos (h - x)) * (cos (h - x))) * (cos (h - x))) is V11() V12() ext-real Element of REAL
K38((((cos (h - x)) * (cos (h - x))) * (cos (h - x)))) is V11() V12() ext-real set
K36((((cos h) * (cos h)) * (cos h)),K38((((cos (h - x)) * (cos (h - x))) * (cos (h - x))))) is V11() V12() ext-real set
1 / 4 is V1() V11() V12() ext-real Element of REAL
h + h is V11() V12() ext-real Element of REAL
(h + h) - h is V11() V12() ext-real Element of REAL
K38(h) is V11() V12() ext-real set
K36((h + h),K38(h)) is V11() V12() ext-real set
cos ((h + h) - h) is V11() V12() ext-real Element of REAL
cos . ((h + h) - h) is V11() V12() ext-real Element of REAL
(cos ((h + h) - h)) + (cos ((h + h) - h)) is V11() V12() ext-real Element of REAL
((cos ((h + h) - h)) + (cos ((h + h) - h))) + (cos ((h + h) - h)) is V11() V12() ext-real Element of REAL
(h + h) + h is V11() V12() ext-real Element of REAL
cos ((h + h) + h) is V11() V12() ext-real Element of REAL
cos . ((h + h) + h) is V11() V12() ext-real Element of REAL
(((cos ((h + h) - h)) + (cos ((h + h) - h))) + (cos ((h + h) - h))) + (cos ((h + h) + h)) is V11() V12() ext-real Element of REAL
(1 / 4) * ((((cos ((h + h) - h)) + (cos ((h + h) - h))) + (cos ((h + h) - h))) + (cos ((h + h) + h))) is V11() V12() ext-real Element of REAL
((1 / 4) * ((((cos ((h + h) - h)) + (cos ((h + h) - h))) + (cos ((h + h) - h))) + (cos ((h + h) + h)))) - (((cos (h - x)) * (cos (h - x))) * (cos (h - x))) is V11() V12() ext-real Element of REAL
K36(((1 / 4) * ((((cos ((h + h) - h)) + (cos ((h + h) - h))) + (cos ((h + h) - h))) + (cos ((h + h) + h)))),K38((((cos (h - x)) * (cos (h - x))) * (cos (h - x))))) is V11() V12() ext-real set
(cos h) + (cos h) is V11() V12() ext-real Element of REAL
((cos h) + (cos h)) + (cos h) is V11() V12() ext-real Element of REAL
3 * h is V11() V12() ext-real Element of REAL
cos (3 * h) is V11() V12() ext-real Element of REAL
cos . (3 * h) is V11() V12() ext-real Element of REAL
(((cos h) + (cos h)) + (cos h)) + (cos (3 * h)) is V11() V12() ext-real Element of REAL
(1 / 4) * ((((cos h) + (cos h)) + (cos h)) + (cos (3 * h))) is V11() V12() ext-real Element of REAL
(h - x) + (h - x) is V11() V12() ext-real Element of REAL
((h - x) + (h - x)) - (h - x) is V11() V12() ext-real Element of REAL
K38((h - x)) is V11() V12() ext-real set
K36(((h - x) + (h - x)),K38((h - x))) is V11() V12() ext-real set
cos (((h - x) + (h - x)) - (h - x)) is V11() V12() ext-real Element of REAL
cos . (((h - x) + (h - x)) - (h - x)) is V11() V12() ext-real Element of REAL
(cos (((h - x) + (h - x)) - (h - x))) + (cos (((h - x) + (h - x)) - (h - x))) is V11() V12() ext-real Element of REAL
((cos (((h - x) + (h - x)) - (h - x))) + (cos (((h - x) + (h - x)) - (h - x)))) + (cos (((h - x) + (h - x)) - (h - x))) is V11() V12() ext-real Element of REAL
((h - x) + (h - x)) + (h - x) is V11() V12() ext-real Element of REAL
cos (((h - x) + (h - x)) + (h - x)) is V11() V12() ext-real Element of REAL
cos . (((h - x) + (h - x)) + (h - x)) is V11() V12() ext-real Element of REAL
(((cos (((h - x) + (h - x)) - (h - x))) + (cos (((h - x) + (h - x)) - (h - x)))) + (cos (((h - x) + (h - x)) - (h - x)))) + (cos (((h - x) + (h - x)) + (h - x))) is V11() V12() ext-real Element of REAL
(1 / 4) * ((((cos (((h - x) + (h - x)) - (h - x))) + (cos (((h - x) + (h - x)) - (h - x)))) + (cos (((h - x) + (h - x)) - (h - x)))) + (cos (((h - x) + (h - x)) + (h - x)))) is V11() V12() ext-real Element of REAL
((1 / 4) * ((((cos h) + (cos h)) + (cos h)) + (cos (3 * h)))) - ((1 / 4) * ((((cos (((h - x) + (h - x)) - (h - x))) + (cos (((h - x) + (h - x)) - (h - x)))) + (cos (((h - x) + (h - x)) - (h - x)))) + (cos (((h - x) + (h - x)) + (h - x))))) is V11() V12() ext-real Element of REAL
K38(((1 / 4) * ((((cos (((h - x) + (h - x)) - (h - x))) + (cos (((h - x) + (h - x)) - (h - x)))) + (cos (((h - x) + (h - x)) - (h - x)))) + (cos (((h - x) + (h - x)) + (h - x)))))) is V11() V12() ext-real set
K36(((1 / 4) * ((((cos h) + (cos h)) + (cos h)) + (cos (3 * h)))),K38(((1 / 4) * ((((cos (((h - x) + (h - x)) - (h - x))) + (cos (((h - x) + (h - x)) - (h - x)))) + (cos (((h - x) + (h - x)) - (h - x)))) + (cos (((h - x) + (h - x)) + (h - x))))))) is V11() V12() ext-real set
(cos h) - (cos (h - x)) is V11() V12() ext-real Element of REAL
K38((cos (h - x))) is V11() V12() ext-real set
K36((cos h),K38((cos (h - x)))) is V11() V12() ext-real set
3 * ((cos h) - (cos (h - x))) is V11() V12() ext-real Element of REAL
3 * (h - x) is V11() V12() ext-real Element of REAL
cos (3 * (h - x)) is V11() V12() ext-real Element of REAL
cos . (3 * (h - x)) is V11() V12() ext-real Element of REAL
(cos (3 * h)) - (cos (3 * (h - x))) is V11() V12() ext-real Element of REAL
K38((cos (3 * (h - x)))) is V11() V12() ext-real set
K36((cos (3 * h)),K38((cos (3 * (h - x))))) is V11() V12() ext-real set
(3 * ((cos h) - (cos (h - x)))) + ((cos (3 * h)) - (cos (3 * (h - x)))) is V11() V12() ext-real Element of REAL
(1 / 4) * ((3 * ((cos h) - (cos (h - x)))) + ((cos (3 * h)) - (cos (3 * (h - x))))) is V11() V12() ext-real Element of REAL
h + (h - x) is V11() V12() ext-real Element of REAL
(h + (h - x)) / 2 is V11() V12() ext-real Element of REAL
K37((h + (h - x)),K39(2)) is V11() V12() ext-real set
sin ((h + (h - x)) / 2) is V11() V12() ext-real Element of REAL
sin . ((h + (h - x)) / 2) is V11() V12() ext-real Element of REAL
h - (h - x) is V11() V12() ext-real Element of REAL
K36(h,K38((h - x))) is V11() V12() ext-real set
(h - (h - x)) / 2 is V11() V12() ext-real Element of REAL
K37((h - (h - x)),K39(2)) is V11() V12() ext-real set
sin ((h - (h - x)) / 2) is V11() V12() ext-real Element of REAL
sin . ((h - (h - x)) / 2) is V11() V12() ext-real Element of REAL
(sin ((h + (h - x)) / 2)) * (sin ((h - (h - x)) / 2)) is V11() V12() ext-real Element of REAL
2 * ((sin ((h + (h - x)) / 2)) * (sin ((h - (h - x)) / 2))) is V11() V12() ext-real Element of REAL
- (2 * ((sin ((h + (h - x)) / 2)) * (sin ((h - (h - x)) / 2)))) is V11() V12() ext-real Element of REAL
3 * (- (2 * ((sin ((h + (h - x)) / 2)) * (sin ((h - (h - x)) / 2))))) is V11() V12() ext-real Element of REAL
(3 * (- (2 * ((sin ((h + (h - x)) / 2)) * (sin ((h - (h - x)) / 2)))))) + ((cos (3 * h)) - (cos (3 * (h - x)))) is V11() V12() ext-real Element of REAL
(1 / 4) * ((3 * (- (2 * ((sin ((h + (h - x)) / 2)) * (sin ((h - (h - x)) / 2)))))) + ((cos (3 * h)) - (cos (3 * (h - x))))) is V11() V12() ext-real Element of REAL
(sin (((2 * h) - x) / 2)) * (sin (x / 2)) is V11() V12() ext-real Element of REAL
2 * ((sin (((2 * h) - x) / 2)) * (sin (x / 2))) is V11() V12() ext-real Element of REAL
- (2 * ((sin (((2 * h) - x) / 2)) * (sin (x / 2)))) is V11() V12() ext-real Element of REAL
3 * (- (2 * ((sin (((2 * h) - x) / 2)) * (sin (x / 2))))) is V11() V12() ext-real Element of REAL
(3 * h) + (3 * (h - x)) is V11() V12() ext-real Element of REAL
((3 * h) + (3 * (h - x))) / 2 is V11() V12() ext-real Element of REAL
K37(((3 * h) + (3 * (h - x))),K39(2)) is V11() V12() ext-real set
sin (((3 * h) + (3 * (h - x))) / 2) is V11() V12() ext-real Element of REAL
sin . (((3 * h) + (3 * (h - x))) / 2) is V11() V12() ext-real Element of REAL
(3 * h) - (3 * (h - x)) is V11() V12() ext-real Element of REAL
K38((3 * (h - x))) is V11() V12() ext-real set
K36((3 * h),K38((3 * (h - x)))) is V11() V12() ext-real set
((3 * h) - (3 * (h - x))) / 2 is V11() V12() ext-real Element of REAL
K37(((3 * h) - (3 * (h - x))),K39(2)) is V11() V12() ext-real set
sin (((3 * h) - (3 * (h - x))) / 2) is V11() V12() ext-real Element of REAL
sin . (((3 * h) - (3 * (h - x))) / 2) is V11() V12() ext-real Element of REAL
(sin (((3 * h) + (3 * (h - x))) / 2)) * (sin (((3 * h) - (3 * (h - x))) / 2)) is V11() V12() ext-real Element of REAL
2 * ((sin (((3 * h) + (3 * (h - x))) / 2)) * (sin (((3 * h) - (3 * (h - x))) / 2))) is V11() V12() ext-real Element of REAL
- (2 * ((sin (((3 * h) + (3 * (h - x))) / 2)) * (sin (((3 * h) - (3 * (h - x))) / 2)))) is V11() V12() ext-real Element of REAL
(3 * (- (2 * ((sin (((2 * h) - x) / 2)) * (sin (x / 2)))))) + (- (2 * ((sin (((3 * h) + (3 * (h - x))) / 2)) * (sin (((3 * h) - (3 * (h - x))) / 2))))) is V11() V12() ext-real Element of REAL
(1 / 4) * ((3 * (- (2 * ((sin (((2 * h) - x) / 2)) * (sin (x / 2)))))) + (- (2 * ((sin (((3 * h) + (3 * (h - x))) / 2)) * (sin (((3 * h) - (3 * (h - x))) / 2)))))) is V11() V12() ext-real Element of REAL
- (1 / 2) is V1() V11() V12() ext-real Element of REAL
3 * ((sin (((2 * h) - x) / 2)) * (sin (x / 2))) is V11() V12() ext-real Element of REAL
(3 * ((sin (((2 * h) - x) / 2)) * (sin (x / 2)))) + ((sin ((3 * ((2 * h) - x)) / 2)) * (sin ((3 * x) / 2))) is V11() V12() ext-real Element of REAL
(- (1 / 2)) * ((3 * ((sin (((2 * h) - x) / 2)) * (sin (x / 2)))) + ((sin ((3 * ((2 * h) - x)) / 2)) * (sin ((3 * x) / 2)))) is V11() V12() ext-real Element of REAL
x is V11() V12() ext-real Element of REAL
cD (((cos (#) cos) (#) cos),x) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
x / 2 is V11() V12() ext-real Element of REAL
K37(x,K39(2)) is V11() V12() ext-real set
Shift (((cos (#) cos) (#) cos),(x / 2)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
- (x / 2) is V11() V12() ext-real Element of REAL
Shift (((cos (#) cos) (#) cos),(- (x / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (((cos (#) cos) (#) cos),(x / 2))) - (Shift (((cos (#) cos) (#) cos),(- (x / 2)))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
x / 2 is V11() V12() ext-real Element of REAL
sin (x / 2) is V11() V12() ext-real Element of REAL
sin . (x / 2) is V11() V12() ext-real Element of REAL
3 * x is V11() V12() ext-real Element of REAL
(3 * x) / 2 is V11() V12() ext-real Element of REAL
K37((3 * x),K39(2)) is V11() V12() ext-real set
sin ((3 * x) / 2) is V11() V12() ext-real Element of REAL
sin . ((3 * x) / 2) is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
(cD (((cos (#) cos) (#) cos),x)) . h is V11() V12() ext-real Element of REAL
sin h is V11() V12() ext-real Element of REAL
sin . h is V11() V12() ext-real Element of REAL
3 * (sin h) is V11() V12() ext-real Element of REAL
(3 * (sin h)) * (sin (x / 2)) is V11() V12() ext-real Element of REAL
3 * h is V11() V12() ext-real Element of REAL
sin (3 * h) is V11() V12() ext-real Element of REAL
sin . (3 * h) is V11() V12() ext-real Element of REAL
(sin (3 * h)) * (sin ((3 * x) / 2)) is V11() V12() ext-real Element of REAL
((3 * (sin h)) * (sin (x / 2))) + ((sin (3 * h)) * (sin ((3 * x) / 2))) is V11() V12() ext-real Element of REAL
(1 / 2) * (((3 * (sin h)) * (sin (x / 2))) + ((sin (3 * h)) * (sin ((3 * x) / 2)))) is V11() V12() ext-real Element of REAL
- ((1 / 2) * (((3 * (sin h)) * (sin (x / 2))) + ((sin (3 * h)) * (sin ((3 * x) / 2))))) is V11() V12() ext-real Element of REAL
h + (x / 2) is V11() V12() ext-real Element of REAL
((cos (#) cos) (#) cos) . (h + (x / 2)) is V11() V12() ext-real Element of REAL
h - (x / 2) is V11() V12() ext-real Element of REAL
K38((x / 2)) is V11() V12() ext-real set
K36(h,K38((x / 2))) is V11() V12() ext-real set
((cos (#) cos) (#) cos) . (h - (x / 2)) is V11() V12() ext-real Element of REAL
(((cos (#) cos) (#) cos) . (h + (x / 2))) - (((cos (#) cos) (#) cos) . (h - (x / 2))) is V11() V12() ext-real Element of REAL
K38((((cos (#) cos) (#) cos) . (h - (x / 2)))) is V11() V12() ext-real set
K36((((cos (#) cos) (#) cos) . (h + (x / 2))),K38((((cos (#) cos) (#) cos) . (h - (x / 2))))) is V11() V12() ext-real set
(cos (#) cos) . (h + (x / 2)) is V11() V12() ext-real Element of REAL
cos . (h + (x / 2)) is V11() V12() ext-real Element of REAL
((cos (#) cos) . (h + (x / 2))) * (cos . (h + (x / 2))) is V11() V12() ext-real Element of REAL
(((cos (#) cos) . (h + (x / 2))) * (cos . (h + (x / 2)))) - (((cos (#) cos) (#) cos) . (h - (x / 2))) is V11() V12() ext-real Element of REAL
K36((((cos (#) cos) . (h + (x / 2))) * (cos . (h + (x / 2)))),K38((((cos (#) cos) (#) cos) . (h - (x / 2))))) is V11() V12() ext-real set
(cos . (h + (x / 2))) * (cos . (h + (x / 2))) is V11() V12() ext-real Element of REAL
((cos . (h + (x / 2))) * (cos . (h + (x / 2)))) * (cos . (h + (x / 2))) is V11() V12() ext-real Element of REAL
(((cos . (h + (x / 2))) * (cos . (h + (x / 2)))) * (cos . (h + (x / 2)))) - (((cos (#) cos) (#) cos) . (h - (x / 2))) is V11() V12() ext-real Element of REAL
K36((((cos . (h + (x / 2))) * (cos . (h + (x / 2)))) * (cos . (h + (x / 2)))),K38((((cos (#) cos) (#) cos) . (h - (x / 2))))) is V11() V12() ext-real set
(cos (#) cos) . (h - (x / 2)) is V11() V12() ext-real Element of REAL
cos . (h - (x / 2)) is V11() V12() ext-real Element of REAL
((cos (#) cos) . (h - (x / 2))) * (cos . (h - (x / 2))) is V11() V12() ext-real Element of REAL
(((cos . (h + (x / 2))) * (cos . (h + (x / 2)))) * (cos . (h + (x / 2)))) - (((cos (#) cos) . (h - (x / 2))) * (cos . (h - (x / 2)))) is V11() V12() ext-real Element of REAL
K38((((cos (#) cos) . (h - (x / 2))) * (cos . (h - (x / 2))))) is V11() V12() ext-real set
K36((((cos . (h + (x / 2))) * (cos . (h + (x / 2)))) * (cos . (h + (x / 2)))),K38((((cos (#) cos) . (h - (x / 2))) * (cos . (h - (x / 2)))))) is V11() V12() ext-real set
cos (h + (x / 2)) is V11() V12() ext-real Element of REAL
cos . (h + (x / 2)) is V11() V12() ext-real Element of REAL
(cos (h + (x / 2))) * (cos (h + (x / 2))) is V11() V12() ext-real Element of REAL
((cos (h + (x / 2))) * (cos (h + (x / 2)))) * (cos (h + (x / 2))) is V11() V12() ext-real Element of REAL
cos (h - (x / 2)) is V11() V12() ext-real Element of REAL
cos . (h - (x / 2)) is V11() V12() ext-real Element of REAL
(cos (h - (x / 2))) * (cos (h - (x / 2))) is V11() V12() ext-real Element of REAL
((cos (h - (x / 2))) * (cos (h - (x / 2)))) * (cos (h - (x / 2))) is V11() V12() ext-real Element of REAL
(((cos (h + (x / 2))) * (cos (h + (x / 2)))) * (cos (h + (x / 2)))) - (((cos (h - (x / 2))) * (cos (h - (x / 2)))) * (cos (h - (x / 2)))) is V11() V12() ext-real Element of REAL
K38((((cos (h - (x / 2))) * (cos (h - (x / 2)))) * (cos (h - (x / 2))))) is V11() V12() ext-real set
K36((((cos (h + (x / 2))) * (cos (h + (x / 2)))) * (cos (h + (x / 2)))),K38((((cos (h - (x / 2))) * (cos (h - (x / 2)))) * (cos (h - (x / 2)))))) is V11() V12() ext-real set
1 / 4 is V1() V11() V12() ext-real Element of REAL
(h + (x / 2)) + (h + (x / 2)) is V11() V12() ext-real Element of REAL
((h + (x / 2)) + (h + (x / 2))) - (h + (x / 2)) is V11() V12() ext-real Element of REAL
K38((h + (x / 2))) is V11() V12() ext-real set
K36(((h + (x / 2)) + (h + (x / 2))),K38((h + (x / 2)))) is V11() V12() ext-real set
cos (((h + (x / 2)) + (h + (x / 2))) - (h + (x / 2))) is V11() V12() ext-real Element of REAL
cos . (((h + (x / 2)) + (h + (x / 2))) - (h + (x / 2))) is V11() V12() ext-real Element of REAL
(cos (((h + (x / 2)) + (h + (x / 2))) - (h + (x / 2)))) + (cos (((h + (x / 2)) + (h + (x / 2))) - (h + (x / 2)))) is V11() V12() ext-real Element of REAL
((cos (((h + (x / 2)) + (h + (x / 2))) - (h + (x / 2)))) + (cos (((h + (x / 2)) + (h + (x / 2))) - (h + (x / 2))))) + (cos (((h + (x / 2)) + (h + (x / 2))) - (h + (x / 2)))) is V11() V12() ext-real Element of REAL
((h + (x / 2)) + (h + (x / 2))) + (h + (x / 2)) is V11() V12() ext-real Element of REAL
cos (((h + (x / 2)) + (h + (x / 2))) + (h + (x / 2))) is V11() V12() ext-real Element of REAL
cos . (((h + (x / 2)) + (h + (x / 2))) + (h + (x / 2))) is V11() V12() ext-real Element of REAL
(((cos (((h + (x / 2)) + (h + (x / 2))) - (h + (x / 2)))) + (cos (((h + (x / 2)) + (h + (x / 2))) - (h + (x / 2))))) + (cos (((h + (x / 2)) + (h + (x / 2))) - (h + (x / 2))))) + (cos (((h + (x / 2)) + (h + (x / 2))) + (h + (x / 2)))) is V11() V12() ext-real Element of REAL
(1 / 4) * ((((cos (((h + (x / 2)) + (h + (x / 2))) - (h + (x / 2)))) + (cos (((h + (x / 2)) + (h + (x / 2))) - (h + (x / 2))))) + (cos (((h + (x / 2)) + (h + (x / 2))) - (h + (x / 2))))) + (cos (((h + (x / 2)) + (h + (x / 2))) + (h + (x / 2))))) is V11() V12() ext-real Element of REAL
((1 / 4) * ((((cos (((h + (x / 2)) + (h + (x / 2))) - (h + (x / 2)))) + (cos (((h + (x / 2)) + (h + (x / 2))) - (h + (x / 2))))) + (cos (((h + (x / 2)) + (h + (x / 2))) - (h + (x / 2))))) + (cos (((h + (x / 2)) + (h + (x / 2))) + (h + (x / 2)))))) - (((cos (h - (x / 2))) * (cos (h - (x / 2)))) * (cos (h - (x / 2)))) is V11() V12() ext-real Element of REAL
K36(((1 / 4) * ((((cos (((h + (x / 2)) + (h + (x / 2))) - (h + (x / 2)))) + (cos (((h + (x / 2)) + (h + (x / 2))) - (h + (x / 2))))) + (cos (((h + (x / 2)) + (h + (x / 2))) - (h + (x / 2))))) + (cos (((h + (x / 2)) + (h + (x / 2))) + (h + (x / 2)))))),K38((((cos (h - (x / 2))) * (cos (h - (x / 2)))) * (cos (h - (x / 2)))))) is V11() V12() ext-real set
(cos (h + (x / 2))) + (cos (h + (x / 2))) is V11() V12() ext-real Element of REAL
((cos (h + (x / 2))) + (cos (h + (x / 2)))) + (cos (h + (x / 2))) is V11() V12() ext-real Element of REAL
3 * (h + (x / 2)) is V11() V12() ext-real Element of REAL
cos (3 * (h + (x / 2))) is V11() V12() ext-real Element of REAL
cos . (3 * (h + (x / 2))) is V11() V12() ext-real Element of REAL
(((cos (h + (x / 2))) + (cos (h + (x / 2)))) + (cos (h + (x / 2)))) + (cos (3 * (h + (x / 2)))) is V11() V12() ext-real Element of REAL
(1 / 4) * ((((cos (h + (x / 2))) + (cos (h + (x / 2)))) + (cos (h + (x / 2)))) + (cos (3 * (h + (x / 2))))) is V11() V12() ext-real Element of REAL
(h - (x / 2)) + (h - (x / 2)) is V11() V12() ext-real Element of REAL
((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2)) is V11() V12() ext-real Element of REAL
K38((h - (x / 2))) is V11() V12() ext-real set
K36(((h - (x / 2)) + (h - (x / 2))),K38((h - (x / 2)))) is V11() V12() ext-real set
cos (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2))) is V11() V12() ext-real Element of REAL
cos . (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2))) is V11() V12() ext-real Element of REAL
(cos (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2)))) + (cos (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2)))) is V11() V12() ext-real Element of REAL
((cos (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2)))) + (cos (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2))))) + (cos (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2)))) is V11() V12() ext-real Element of REAL
((h - (x / 2)) + (h - (x / 2))) + (h - (x / 2)) is V11() V12() ext-real Element of REAL
cos (((h - (x / 2)) + (h - (x / 2))) + (h - (x / 2))) is V11() V12() ext-real Element of REAL
cos . (((h - (x / 2)) + (h - (x / 2))) + (h - (x / 2))) is V11() V12() ext-real Element of REAL
(((cos (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2)))) + (cos (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2))))) + (cos (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2))))) + (cos (((h - (x / 2)) + (h - (x / 2))) + (h - (x / 2)))) is V11() V12() ext-real Element of REAL
(1 / 4) * ((((cos (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2)))) + (cos (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2))))) + (cos (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2))))) + (cos (((h - (x / 2)) + (h - (x / 2))) + (h - (x / 2))))) is V11() V12() ext-real Element of REAL
((1 / 4) * ((((cos (h + (x / 2))) + (cos (h + (x / 2)))) + (cos (h + (x / 2)))) + (cos (3 * (h + (x / 2)))))) - ((1 / 4) * ((((cos (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2)))) + (cos (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2))))) + (cos (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2))))) + (cos (((h - (x / 2)) + (h - (x / 2))) + (h - (x / 2)))))) is V11() V12() ext-real Element of REAL
K38(((1 / 4) * ((((cos (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2)))) + (cos (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2))))) + (cos (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2))))) + (cos (((h - (x / 2)) + (h - (x / 2))) + (h - (x / 2))))))) is V11() V12() ext-real set
K36(((1 / 4) * ((((cos (h + (x / 2))) + (cos (h + (x / 2)))) + (cos (h + (x / 2)))) + (cos (3 * (h + (x / 2)))))),K38(((1 / 4) * ((((cos (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2)))) + (cos (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2))))) + (cos (((h - (x / 2)) + (h - (x / 2))) - (h - (x / 2))))) + (cos (((h - (x / 2)) + (h - (x / 2))) + (h - (x / 2)))))))) is V11() V12() ext-real set
(cos (h + (x / 2))) - (cos (h - (x / 2))) is V11() V12() ext-real Element of REAL
K38((cos (h - (x / 2)))) is V11() V12() ext-real set
K36((cos (h + (x / 2))),K38((cos (h - (x / 2))))) is V11() V12() ext-real set
3 * ((cos (h + (x / 2))) - (cos (h - (x / 2)))) is V11() V12() ext-real Element of REAL
3 * (h - (x / 2)) is V11() V12() ext-real Element of REAL
cos (3 * (h - (x / 2))) is V11() V12() ext-real Element of REAL
cos . (3 * (h - (x / 2))) is V11() V12() ext-real Element of REAL
(cos (3 * (h + (x / 2)))) - (cos (3 * (h - (x / 2)))) is V11() V12() ext-real Element of REAL
K38((cos (3 * (h - (x / 2))))) is V11() V12() ext-real set
K36((cos (3 * (h + (x / 2)))),K38((cos (3 * (h - (x / 2)))))) is V11() V12() ext-real set
(3 * ((cos (h + (x / 2))) - (cos (h - (x / 2))))) + ((cos (3 * (h + (x / 2)))) - (cos (3 * (h - (x / 2))))) is V11() V12() ext-real Element of REAL
(1 / 4) * ((3 * ((cos (h + (x / 2))) - (cos (h - (x / 2))))) + ((cos (3 * (h + (x / 2)))) - (cos (3 * (h - (x / 2)))))) is V11() V12() ext-real Element of REAL
(h + (x / 2)) + (h - (x / 2)) is V11() V12() ext-real Element of REAL
((h + (x / 2)) + (h - (x / 2))) / 2 is V11() V12() ext-real Element of REAL
K37(((h + (x / 2)) + (h - (x / 2))),K39(2)) is V11() V12() ext-real set
sin (((h + (x / 2)) + (h - (x / 2))) / 2) is V11() V12() ext-real Element of REAL
sin . (((h + (x / 2)) + (h - (x / 2))) / 2) is V11() V12() ext-real Element of REAL
(h + (x / 2)) - (h - (x / 2)) is V11() V12() ext-real Element of REAL
K36((h + (x / 2)),K38((h - (x / 2)))) is V11() V12() ext-real set
((h + (x / 2)) - (h - (x / 2))) / 2 is V11() V12() ext-real Element of REAL
K37(((h + (x / 2)) - (h - (x / 2))),K39(2)) is V11() V12() ext-real set
sin (((h + (x / 2)) - (h - (x / 2))) / 2) is V11() V12() ext-real Element of REAL
sin . (((h + (x / 2)) - (h - (x / 2))) / 2) is V11() V12() ext-real Element of REAL
(sin (((h + (x / 2)) + (h - (x / 2))) / 2)) * (sin (((h + (x / 2)) - (h - (x / 2))) / 2)) is V11() V12() ext-real Element of REAL
2 * ((sin (((h + (x / 2)) + (h - (x / 2))) / 2)) * (sin (((h + (x / 2)) - (h - (x / 2))) / 2))) is V11() V12() ext-real Element of REAL
- (2 * ((sin (((h + (x / 2)) + (h - (x / 2))) / 2)) * (sin (((h + (x / 2)) - (h - (x / 2))) / 2)))) is V11() V12() ext-real Element of REAL
3 * (- (2 * ((sin (((h + (x / 2)) + (h - (x / 2))) / 2)) * (sin (((h + (x / 2)) - (h - (x / 2))) / 2))))) is V11() V12() ext-real Element of REAL
(3 * (- (2 * ((sin (((h + (x / 2)) + (h - (x / 2))) / 2)) * (sin (((h + (x / 2)) - (h - (x / 2))) / 2)))))) + ((cos (3 * (h + (x / 2)))) - (cos (3 * (h - (x / 2))))) is V11() V12() ext-real Element of REAL
(1 / 4) * ((3 * (- (2 * ((sin (((h + (x / 2)) + (h - (x / 2))) / 2)) * (sin (((h + (x / 2)) - (h - (x / 2))) / 2)))))) + ((cos (3 * (h + (x / 2)))) - (cos (3 * (h - (x / 2)))))) is V11() V12() ext-real Element of REAL
2 * h is V11() V12() ext-real Element of REAL
(2 * h) / 2 is V11() V12() ext-real Element of REAL
K37((2 * h),K39(2)) is V11() V12() ext-real set
sin ((2 * h) / 2) is V11() V12() ext-real Element of REAL
sin . ((2 * h) / 2) is V11() V12() ext-real Element of REAL
(sin ((2 * h) / 2)) * (sin (x / 2)) is V11() V12() ext-real Element of REAL
2 * ((sin ((2 * h) / 2)) * (sin (x / 2))) is V11() V12() ext-real Element of REAL
- (2 * ((sin ((2 * h) / 2)) * (sin (x / 2)))) is V11() V12() ext-real Element of REAL
3 * (- (2 * ((sin ((2 * h) / 2)) * (sin (x / 2))))) is V11() V12() ext-real Element of REAL
(3 * (h + (x / 2))) + (3 * (h - (x / 2))) is V11() V12() ext-real Element of REAL
((3 * (h + (x / 2))) + (3 * (h - (x / 2)))) / 2 is V11() V12() ext-real Element of REAL
K37(((3 * (h + (x / 2))) + (3 * (h - (x / 2)))),K39(2)) is V11() V12() ext-real set
sin (((3 * (h + (x / 2))) + (3 * (h - (x / 2)))) / 2) is V11() V12() ext-real Element of REAL
sin . (((3 * (h + (x / 2))) + (3 * (h - (x / 2)))) / 2) is V11() V12() ext-real Element of REAL
(3 * (h + (x / 2))) - (3 * (h - (x / 2))) is V11() V12() ext-real Element of REAL
K38((3 * (h - (x / 2)))) is V11() V12() ext-real set
K36((3 * (h + (x / 2))),K38((3 * (h - (x / 2))))) is V11() V12() ext-real set
((3 * (h + (x / 2))) - (3 * (h - (x / 2)))) / 2 is V11() V12() ext-real Element of REAL
K37(((3 * (h + (x / 2))) - (3 * (h - (x / 2)))),K39(2)) is V11() V12() ext-real set
sin (((3 * (h + (x / 2))) - (3 * (h - (x / 2)))) / 2) is V11() V12() ext-real Element of REAL
sin . (((3 * (h + (x / 2))) - (3 * (h - (x / 2)))) / 2) is V11() V12() ext-real Element of REAL
(sin (((3 * (h + (x / 2))) + (3 * (h - (x / 2)))) / 2)) * (sin (((3 * (h + (x / 2))) - (3 * (h - (x / 2)))) / 2)) is V11() V12() ext-real Element of REAL
2 * ((sin (((3 * (h + (x / 2))) + (3 * (h - (x / 2)))) / 2)) * (sin (((3 * (h + (x / 2))) - (3 * (h - (x / 2)))) / 2))) is V11() V12() ext-real Element of REAL
- (2 * ((sin (((3 * (h + (x / 2))) + (3 * (h - (x / 2)))) / 2)) * (sin (((3 * (h + (x / 2))) - (3 * (h - (x / 2)))) / 2)))) is V11() V12() ext-real Element of REAL
(3 * (- (2 * ((sin ((2 * h) / 2)) * (sin (x / 2)))))) + (- (2 * ((sin (((3 * (h + (x / 2))) + (3 * (h - (x / 2)))) / 2)) * (sin (((3 * (h + (x / 2))) - (3 * (h - (x / 2)))) / 2))))) is V11() V12() ext-real Element of REAL
(1 / 4) * ((3 * (- (2 * ((sin ((2 * h) / 2)) * (sin (x / 2)))))) + (- (2 * ((sin (((3 * (h + (x / 2))) + (3 * (h - (x / 2)))) / 2)) * (sin (((3 * (h + (x / 2))) - (3 * (h - (x / 2)))) / 2)))))) is V11() V12() ext-real Element of REAL
(sin h) * (sin (x / 2)) is V11() V12() ext-real Element of REAL
3 * ((sin h) * (sin (x / 2))) is V11() V12() ext-real Element of REAL
(3 * ((sin h) * (sin (x / 2)))) + ((sin (3 * h)) * (sin ((3 * x) / 2))) is V11() V12() ext-real Element of REAL
(1 / 2) * ((3 * ((sin h) * (sin (x / 2)))) + ((sin (3 * h)) * (sin ((3 * x) / 2)))) is V11() V12() ext-real Element of REAL
- ((1 / 2) * ((3 * ((sin h) * (sin (x / 2)))) + ((sin (3 * h)) * (sin ((3 * x) / 2))))) is V11() V12() ext-real Element of REAL
x is V11() V12() ext-real Element of REAL
sin x is V11() V12() ext-real Element of REAL
sin . x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
sin h is V11() V12() ext-real Element of REAL
sin . h is V11() V12() ext-real Element of REAL
(sin h) - (sin x) is V11() V12() ext-real Element of REAL
K38((sin x)) is V11() V12() ext-real set
K36((sin h),K38((sin x))) is V11() V12() ext-real set
2 * ((sin h) - (sin x)) is V11() V12() ext-real Element of REAL
x + h is V11() V12() ext-real Element of REAL
cos (x + h) is V11() V12() ext-real Element of REAL
cos . (x + h) is V11() V12() ext-real Element of REAL
x - h is V11() V12() ext-real Element of REAL
K38(h) is V11() V12() ext-real set
K36(x,K38(h)) is V11() V12() ext-real set
cos (x - h) is V11() V12() ext-real Element of REAL
cos . (x - h) is V11() V12() ext-real Element of REAL
(cos (x + h)) - (cos (x - h)) is V11() V12() ext-real Element of REAL
K38((cos (x - h))) is V11() V12() ext-real set
K36((cos (x + h)),K38((cos (x - h)))) is V11() V12() ext-real set
(2 * ((sin h) - (sin x))) / ((cos (x + h)) - (cos (x - h))) is V11() V12() ext-real Element of REAL
K39(((cos (x + h)) - (cos (x - h)))) is V11() V12() ext-real set
K37((2 * ((sin h) - (sin x))),K39(((cos (x + h)) - (cos (x - h))))) is V11() V12() ext-real set
((2 * ((sin h) - (sin x))) / ((cos (x + h)) - (cos (x - h)))) / (x - h) is V11() V12() ext-real Element of REAL
K39((x - h)) is V11() V12() ext-real set
K37(((2 * ((sin h) - (sin x))) / ((cos (x + h)) - (cos (x - h)))),K39((x - h))) is V11() V12() ext-real set
- (((2 * ((sin h) - (sin x))) / ((cos (x + h)) - (cos (x - h)))) / (x - h)) is V11() V12() ext-real Element of REAL
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
[!f,x,h!] is V11() V12() ext-real Element of REAL
f . x is V11() V12() ext-real Element of REAL
f . h is V11() V12() ext-real Element of REAL
(f . x) - (f . h) is V11() V12() ext-real Element of REAL
K38((f . h)) is V11() V12() ext-real set
K36((f . x),K38((f . h))) is V11() V12() ext-real set
K40(x,h) is V11() V12() ext-real set
((f . x) - (f . h)) / K40(x,h) is V11() V12() ext-real Element of REAL
K39(K40(x,h)) is V11() V12() ext-real set
K37(((f . x) - (f . h)),K39(K40(x,h))) is V11() V12() ext-real set
f . x is V11() V12() ext-real Element of REAL
1 / (sin x) is V11() V12() ext-real Element of REAL
K39((sin x)) is V11() V12() ext-real set
K37(1,K39((sin x))) is V11() V12() ext-real set
f . h is V11() V12() ext-real Element of REAL
1 / (sin h) is V11() V12() ext-real Element of REAL
K39((sin h)) is V11() V12() ext-real set
K37(1,K39((sin h))) is V11() V12() ext-real set
1 * (sin h) is V11() V12() ext-real Element of REAL
1 * (sin x) is V11() V12() ext-real Element of REAL
(1 * (sin h)) - (1 * (sin x)) is V11() V12() ext-real Element of REAL
K38((1 * (sin x))) is V11() V12() ext-real set
K36((1 * (sin h)),K38((1 * (sin x)))) is V11() V12() ext-real set
(sin x) * (sin h) is V11() V12() ext-real Element of REAL
((1 * (sin h)) - (1 * (sin x))) / ((sin x) * (sin h)) is V11() V12() ext-real Element of REAL
K39(((sin x) * (sin h))) is V11() V12() ext-real set
K37(((1 * (sin h)) - (1 * (sin x))),K39(((sin x) * (sin h)))) is V11() V12() ext-real set
(((1 * (sin h)) - (1 * (sin x))) / ((sin x) * (sin h))) / (x - h) is V11() V12() ext-real Element of REAL
K37((((1 * (sin h)) - (1 * (sin x))) / ((sin x) * (sin h))),K39((x - h))) is V11() V12() ext-real set
(1 / 2) * ((cos (x + h)) - (cos (x - h))) is V11() V12() ext-real Element of REAL
- ((1 / 2) * ((cos (x + h)) - (cos (x - h)))) is V11() V12() ext-real Element of REAL
((sin h) - (sin x)) / (- ((1 / 2) * ((cos (x + h)) - (cos (x - h))))) is V11() V12() ext-real Element of REAL
K39((- ((1 / 2) * ((cos (x + h)) - (cos (x - h)))))) is V11() V12() ext-real set
K37(((sin h) - (sin x)),K39((- ((1 / 2) * ((cos (x + h)) - (cos (x - h))))))) is V11() V12() ext-real set
(((sin h) - (sin x)) / (- ((1 / 2) * ((cos (x + h)) - (cos (x - h)))))) / (x - h) is V11() V12() ext-real Element of REAL
K37((((sin h) - (sin x)) / (- ((1 / 2) * ((cos (x + h)) - (cos (x - h)))))),K39((x - h))) is V11() V12() ext-real set
- (1 / 2) is V1() V11() V12() ext-real Element of REAL
(- (1 / 2)) * ((cos (x + h)) - (cos (x - h))) is V11() V12() ext-real Element of REAL
((sin h) - (sin x)) / ((- (1 / 2)) * ((cos (x + h)) - (cos (x - h)))) is V11() V12() ext-real Element of REAL
K39(((- (1 / 2)) * ((cos (x + h)) - (cos (x - h))))) is V11() V12() ext-real set
K37(((sin h) - (sin x)),K39(((- (1 / 2)) * ((cos (x + h)) - (cos (x - h)))))) is V11() V12() ext-real set
(((sin h) - (sin x)) / ((- (1 / 2)) * ((cos (x + h)) - (cos (x - h))))) / (x - h) is V11() V12() ext-real Element of REAL
K37((((sin h) - (sin x)) / ((- (1 / 2)) * ((cos (x + h)) - (cos (x - h))))),K39((x - h))) is V11() V12() ext-real set
((sin h) - (sin x)) / (- (1 / 2)) is V11() V12() ext-real Element of REAL
K39((- (1 / 2))) is V1() V11() V12() ext-real set
K37(((sin h) - (sin x)),K39((- (1 / 2)))) is V11() V12() ext-real set
(((sin h) - (sin x)) / (- (1 / 2))) / ((cos (x + h)) - (cos (x - h))) is V11() V12() ext-real Element of REAL
K37((((sin h) - (sin x)) / (- (1 / 2))),K39(((cos (x + h)) - (cos (x - h))))) is V11() V12() ext-real set
((((sin h) - (sin x)) / (- (1 / 2))) / ((cos (x + h)) - (cos (x - h)))) / (x - h) is V11() V12() ext-real Element of REAL
K37(((((sin h) - (sin x)) / (- (1 / 2))) / ((cos (x + h)) - (cos (x - h)))),K39((x - h))) is V11() V12() ext-real set
- 2 is V1() V11() V12() ext-real Element of REAL
(- 2) * ((sin h) - (sin x)) is V11() V12() ext-real Element of REAL
((- 2) * ((sin h) - (sin x))) / ((cos (x + h)) - (cos (x - h))) is V11() V12() ext-real Element of REAL
K37(((- 2) * ((sin h) - (sin x))),K39(((cos (x + h)) - (cos (x - h))))) is V11() V12() ext-real set
(((- 2) * ((sin h) - (sin x))) / ((cos (x + h)) - (cos (x - h)))) / (x - h) is V11() V12() ext-real Element of REAL
K37((((- 2) * ((sin h) - (sin x))) / ((cos (x + h)) - (cos (x - h)))),K39((x - h))) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
sin x is V11() V12() ext-real Element of REAL
sin . x is V11() V12() ext-real Element of REAL
2 * x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
x + h is V11() V12() ext-real Element of REAL
sin (x + h) is V11() V12() ext-real Element of REAL
sin . (x + h) is V11() V12() ext-real Element of REAL
(sin x) - (sin (x + h)) is V11() V12() ext-real Element of REAL
K38((sin (x + h))) is V11() V12() ext-real set
K36((sin x),K38((sin (x + h)))) is V11() V12() ext-real set
2 * ((sin x) - (sin (x + h))) is V11() V12() ext-real Element of REAL
(2 * x) + h is V11() V12() ext-real Element of REAL
cos ((2 * x) + h) is V11() V12() ext-real Element of REAL
cos . ((2 * x) + h) is V11() V12() ext-real Element of REAL
cos h is V11() V12() ext-real Element of REAL
cos . h is V11() V12() ext-real Element of REAL
(cos ((2 * x) + h)) - (cos h) is V11() V12() ext-real Element of REAL
K38((cos h)) is V11() V12() ext-real set
K36((cos ((2 * x) + h)),K38((cos h))) is V11() V12() ext-real set
(2 * ((sin x) - (sin (x + h)))) / ((cos ((2 * x) + h)) - (cos h)) is V11() V12() ext-real Element of REAL
K39(((cos ((2 * x) + h)) - (cos h))) is V11() V12() ext-real set
K37((2 * ((sin x) - (sin (x + h)))),K39(((cos ((2 * x) + h)) - (cos h)))) is V11() V12() ext-real set
- ((2 * ((sin x) - (sin (x + h)))) / ((cos ((2 * x) + h)) - (cos h))) is V11() V12() ext-real Element of REAL
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
fD (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (f,h)) - f is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(fD (f,h)) . x is V11() V12() ext-real Element of REAL
f . (x + h) is V11() V12() ext-real Element of REAL
1 / (sin (x + h)) is V11() V12() ext-real Element of REAL
K39((sin (x + h))) is V11() V12() ext-real set
K37(1,K39((sin (x + h)))) is V11() V12() ext-real set
f . x is V11() V12() ext-real Element of REAL
(1 / (sin (x + h))) - (f . x) is V11() V12() ext-real Element of REAL
K38((f . x)) is V11() V12() ext-real set
K36((1 / (sin (x + h))),K38((f . x))) is V11() V12() ext-real set
1 / (sin x) is V11() V12() ext-real Element of REAL
K39((sin x)) is V11() V12() ext-real set
K37(1,K39((sin x))) is V11() V12() ext-real set
(1 / (sin (x + h))) - (1 / (sin x)) is V11() V12() ext-real Element of REAL
K38((1 / (sin x))) is V11() V12() ext-real set
K36((1 / (sin (x + h))),K38((1 / (sin x)))) is V11() V12() ext-real set
1 * (sin x) is V11() V12() ext-real Element of REAL
1 * (sin (x + h)) is V11() V12() ext-real Element of REAL
(1 * (sin x)) - (1 * (sin (x + h))) is V11() V12() ext-real Element of REAL
K38((1 * (sin (x + h)))) is V11() V12() ext-real set
K36((1 * (sin x)),K38((1 * (sin (x + h))))) is V11() V12() ext-real set
(sin (x + h)) * (sin x) is V11() V12() ext-real Element of REAL
((1 * (sin x)) - (1 * (sin (x + h)))) / ((sin (x + h)) * (sin x)) is V11() V12() ext-real Element of REAL
K39(((sin (x + h)) * (sin x))) is V11() V12() ext-real set
K37(((1 * (sin x)) - (1 * (sin (x + h)))),K39(((sin (x + h)) * (sin x)))) is V11() V12() ext-real set
(x + h) + x is V11() V12() ext-real Element of REAL
cos ((x + h) + x) is V11() V12() ext-real Element of REAL
cos . ((x + h) + x) is V11() V12() ext-real Element of REAL
(x + h) - x is V11() V12() ext-real Element of REAL
K38(x) is V11() V12() ext-real set
K36((x + h),K38(x)) is V11() V12() ext-real set
cos ((x + h) - x) is V11() V12() ext-real Element of REAL
cos . ((x + h) - x) is V11() V12() ext-real Element of REAL
(cos ((x + h) + x)) - (cos ((x + h) - x)) is V11() V12() ext-real Element of REAL
K38((cos ((x + h) - x))) is V11() V12() ext-real set
K36((cos ((x + h) + x)),K38((cos ((x + h) - x)))) is V11() V12() ext-real set
(1 / 2) * ((cos ((x + h) + x)) - (cos ((x + h) - x))) is V11() V12() ext-real Element of REAL
- ((1 / 2) * ((cos ((x + h) + x)) - (cos ((x + h) - x)))) is V11() V12() ext-real Element of REAL
((sin x) - (sin (x + h))) / (- ((1 / 2) * ((cos ((x + h) + x)) - (cos ((x + h) - x))))) is V11() V12() ext-real Element of REAL
K39((- ((1 / 2) * ((cos ((x + h) + x)) - (cos ((x + h) - x)))))) is V11() V12() ext-real set
K37(((sin x) - (sin (x + h))),K39((- ((1 / 2) * ((cos ((x + h) + x)) - (cos ((x + h) - x))))))) is V11() V12() ext-real set
- (1 / 2) is V1() V11() V12() ext-real Element of REAL
(- (1 / 2)) * ((cos ((x + h) + x)) - (cos ((x + h) - x))) is V11() V12() ext-real Element of REAL
((sin x) - (sin (x + h))) / ((- (1 / 2)) * ((cos ((x + h) + x)) - (cos ((x + h) - x)))) is V11() V12() ext-real Element of REAL
K39(((- (1 / 2)) * ((cos ((x + h) + x)) - (cos ((x + h) - x))))) is V11() V12() ext-real set
K37(((sin x) - (sin (x + h))),K39(((- (1 / 2)) * ((cos ((x + h) + x)) - (cos ((x + h) - x)))))) is V11() V12() ext-real set
((sin x) - (sin (x + h))) / (- (1 / 2)) is V11() V12() ext-real Element of REAL
K39((- (1 / 2))) is V1() V11() V12() ext-real set
K37(((sin x) - (sin (x + h))),K39((- (1 / 2)))) is V11() V12() ext-real set
(((sin x) - (sin (x + h))) / (- (1 / 2))) / ((cos ((2 * x) + h)) - (cos h)) is V11() V12() ext-real Element of REAL
K37((((sin x) - (sin (x + h))) / (- (1 / 2))),K39(((cos ((2 * x) + h)) - (cos h)))) is V11() V12() ext-real set
- 2 is V1() V11() V12() ext-real Element of REAL
((sin x) - (sin (x + h))) / ((cos ((2 * x) + h)) - (cos h)) is V11() V12() ext-real Element of REAL
K37(((sin x) - (sin (x + h))),K39(((cos ((2 * x) + h)) - (cos h)))) is V11() V12() ext-real set
(- 2) * (((sin x) - (sin (x + h))) / ((cos ((2 * x) + h)) - (cos h))) is V11() V12() ext-real Element of REAL
- 2 is V1() V11() V12() ext-real Element of REAL
x is V11() V12() ext-real Element of REAL
sin x is V11() V12() ext-real Element of REAL
sin . x is V11() V12() ext-real Element of REAL
2 * x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
x - h is V11() V12() ext-real Element of REAL
K38(h) is V11() V12() ext-real set
K36(x,K38(h)) is V11() V12() ext-real set
sin (x - h) is V11() V12() ext-real Element of REAL
sin . (x - h) is V11() V12() ext-real Element of REAL
(sin (x - h)) - (sin x) is V11() V12() ext-real Element of REAL
K38((sin x)) is V11() V12() ext-real set
K36((sin (x - h)),K38((sin x))) is V11() V12() ext-real set
(- 2) * ((sin (x - h)) - (sin x)) is V11() V12() ext-real Element of REAL
(2 * x) - h is V11() V12() ext-real Element of REAL
K36((2 * x),K38(h)) is V11() V12() ext-real set
cos ((2 * x) - h) is V11() V12() ext-real Element of REAL
cos . ((2 * x) - h) is V11() V12() ext-real Element of REAL
cos h is V11() V12() ext-real Element of REAL
cos . h is V11() V12() ext-real Element of REAL
(cos ((2 * x) - h)) - (cos h) is V11() V12() ext-real Element of REAL
K38((cos h)) is V11() V12() ext-real set
K36((cos ((2 * x) - h)),K38((cos h))) is V11() V12() ext-real set
((- 2) * ((sin (x - h)) - (sin x))) / ((cos ((2 * x) - h)) - (cos h)) is V11() V12() ext-real Element of REAL
K39(((cos ((2 * x) - h)) - (cos h))) is V11() V12() ext-real set
K37(((- 2) * ((sin (x - h)) - (sin x))),K39(((cos ((2 * x) - h)) - (cos h)))) is V11() V12() ext-real set
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
bD (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (f,K38(h)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
f - (Shift (f,K38(h))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(bD (f,h)) . x is V11() V12() ext-real Element of REAL
f . x is V11() V12() ext-real Element of REAL
f . (x - h) is V11() V12() ext-real Element of REAL
(f . x) - (f . (x - h)) is V11() V12() ext-real Element of REAL
K38((f . (x - h))) is V11() V12() ext-real set
K36((f . x),K38((f . (x - h)))) is V11() V12() ext-real set
1 / (sin x) is V11() V12() ext-real Element of REAL
K39((sin x)) is V11() V12() ext-real set
K37(1,K39((sin x))) is V11() V12() ext-real set
(1 / (sin x)) - (f . (x - h)) is V11() V12() ext-real Element of REAL
K36((1 / (sin x)),K38((f . (x - h)))) is V11() V12() ext-real set
1 / (sin (x - h)) is V11() V12() ext-real Element of REAL
K39((sin (x - h))) is V11() V12() ext-real set
K37(1,K39((sin (x - h)))) is V11() V12() ext-real set
(1 / (sin x)) - (1 / (sin (x - h))) is V11() V12() ext-real Element of REAL
K38((1 / (sin (x - h)))) is V11() V12() ext-real set
K36((1 / (sin x)),K38((1 / (sin (x - h))))) is V11() V12() ext-real set
1 * (sin (x - h)) is V11() V12() ext-real Element of REAL
1 * (sin x) is V11() V12() ext-real Element of REAL
(1 * (sin (x - h))) - (1 * (sin x)) is V11() V12() ext-real Element of REAL
K38((1 * (sin x))) is V11() V12() ext-real set
K36((1 * (sin (x - h))),K38((1 * (sin x)))) is V11() V12() ext-real set
(sin x) * (sin (x - h)) is V11() V12() ext-real Element of REAL
((1 * (sin (x - h))) - (1 * (sin x))) / ((sin x) * (sin (x - h))) is V11() V12() ext-real Element of REAL
K39(((sin x) * (sin (x - h)))) is V11() V12() ext-real set
K37(((1 * (sin (x - h))) - (1 * (sin x))),K39(((sin x) * (sin (x - h))))) is V11() V12() ext-real set
x + (x - h) is V11() V12() ext-real Element of REAL
cos (x + (x - h)) is V11() V12() ext-real Element of REAL
cos . (x + (x - h)) is V11() V12() ext-real Element of REAL
x - (x - h) is V11() V12() ext-real Element of REAL
K38((x - h)) is V11() V12() ext-real set
K36(x,K38((x - h))) is V11() V12() ext-real set
cos (x - (x - h)) is V11() V12() ext-real Element of REAL
cos . (x - (x - h)) is V11() V12() ext-real Element of REAL
(cos (x + (x - h))) - (cos (x - (x - h))) is V11() V12() ext-real Element of REAL
K38((cos (x - (x - h)))) is V11() V12() ext-real set
K36((cos (x + (x - h))),K38((cos (x - (x - h))))) is V11() V12() ext-real set
(1 / 2) * ((cos (x + (x - h))) - (cos (x - (x - h)))) is V11() V12() ext-real Element of REAL
- ((1 / 2) * ((cos (x + (x - h))) - (cos (x - (x - h))))) is V11() V12() ext-real Element of REAL
((sin (x - h)) - (sin x)) / (- ((1 / 2) * ((cos (x + (x - h))) - (cos (x - (x - h)))))) is V11() V12() ext-real Element of REAL
K39((- ((1 / 2) * ((cos (x + (x - h))) - (cos (x - (x - h))))))) is V11() V12() ext-real set
K37(((sin (x - h)) - (sin x)),K39((- ((1 / 2) * ((cos (x + (x - h))) - (cos (x - (x - h)))))))) is V11() V12() ext-real set
- (1 / 2) is V1() V11() V12() ext-real Element of REAL
(- (1 / 2)) * ((cos ((2 * x) - h)) - (cos h)) is V11() V12() ext-real Element of REAL
((sin (x - h)) - (sin x)) / ((- (1 / 2)) * ((cos ((2 * x) - h)) - (cos h))) is V11() V12() ext-real Element of REAL
K39(((- (1 / 2)) * ((cos ((2 * x) - h)) - (cos h)))) is V11() V12() ext-real set
K37(((sin (x - h)) - (sin x)),K39(((- (1 / 2)) * ((cos ((2 * x) - h)) - (cos h))))) is V11() V12() ext-real set
((sin (x - h)) - (sin x)) / (- (1 / 2)) is V11() V12() ext-real Element of REAL
K39((- (1 / 2))) is V1() V11() V12() ext-real set
K37(((sin (x - h)) - (sin x)),K39((- (1 / 2)))) is V11() V12() ext-real set
(((sin (x - h)) - (sin x)) / (- (1 / 2))) / ((cos ((2 * x) - h)) - (cos h)) is V11() V12() ext-real Element of REAL
K37((((sin (x - h)) - (sin x)) / (- (1 / 2))),K39(((cos ((2 * x) - h)) - (cos h)))) is V11() V12() ext-real set
((sin (x - h)) - (sin x)) / ((cos ((2 * x) - h)) - (cos h)) is V11() V12() ext-real Element of REAL
K37(((sin (x - h)) - (sin x)),K39(((cos ((2 * x) - h)) - (cos h)))) is V11() V12() ext-real set
(- 2) * (((sin (x - h)) - (sin x)) / ((cos ((2 * x) - h)) - (cos h))) is V11() V12() ext-real Element of REAL
x is V11() V12() ext-real Element of REAL
2 * x is V11() V12() ext-real Element of REAL
cos (2 * x) is V11() V12() ext-real Element of REAL
cos . (2 * x) is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
h / 2 is V11() V12() ext-real Element of REAL
K37(h,K39(2)) is V11() V12() ext-real set
x + (h / 2) is V11() V12() ext-real Element of REAL
sin (x + (h / 2)) is V11() V12() ext-real Element of REAL
sin . (x + (h / 2)) is V11() V12() ext-real Element of REAL
x - (h / 2) is V11() V12() ext-real Element of REAL
K38((h / 2)) is V11() V12() ext-real set
K36(x,K38((h / 2))) is V11() V12() ext-real set
sin (x - (h / 2)) is V11() V12() ext-real Element of REAL
sin . (x - (h / 2)) is V11() V12() ext-real Element of REAL
(sin (x - (h / 2))) - (sin (x + (h / 2))) is V11() V12() ext-real Element of REAL
K38((sin (x + (h / 2)))) is V11() V12() ext-real set
K36((sin (x - (h / 2))),K38((sin (x + (h / 2))))) is V11() V12() ext-real set
2 * ((sin (x - (h / 2))) - (sin (x + (h / 2)))) is V11() V12() ext-real Element of REAL
cos h is V11() V12() ext-real Element of REAL
cos . h is V11() V12() ext-real Element of REAL
(cos (2 * x)) - (cos h) is V11() V12() ext-real Element of REAL
K38((cos h)) is V11() V12() ext-real set
K36((cos (2 * x)),K38((cos h))) is V11() V12() ext-real set
(2 * ((sin (x - (h / 2))) - (sin (x + (h / 2))))) / ((cos (2 * x)) - (cos h)) is V11() V12() ext-real Element of REAL
K39(((cos (2 * x)) - (cos h))) is V11() V12() ext-real set
K37((2 * ((sin (x - (h / 2))) - (sin (x + (h / 2))))),K39(((cos (2 * x)) - (cos h)))) is V11() V12() ext-real set
- ((2 * ((sin (x - (h / 2))) - (sin (x + (h / 2))))) / ((cos (2 * x)) - (cos h))) is V11() V12() ext-real Element of REAL
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
cD (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
h / 2 is V11() V12() ext-real Element of REAL
Shift (f,(h / 2)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
- (h / 2) is V11() V12() ext-real Element of REAL
Shift (f,(- (h / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (f,(h / 2))) - (Shift (f,(- (h / 2)))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(cD (f,h)) . x is V11() V12() ext-real Element of REAL
f . (x + (h / 2)) is V11() V12() ext-real Element of REAL
f . (x - (h / 2)) is V11() V12() ext-real Element of REAL
(f . (x + (h / 2))) - (f . (x - (h / 2))) is V11() V12() ext-real Element of REAL
K38((f . (x - (h / 2)))) is V11() V12() ext-real set
K36((f . (x + (h / 2))),K38((f . (x - (h / 2))))) is V11() V12() ext-real set
1 / (sin (x + (h / 2))) is V11() V12() ext-real Element of REAL
K39((sin (x + (h / 2)))) is V11() V12() ext-real set
K37(1,K39((sin (x + (h / 2))))) is V11() V12() ext-real set
(1 / (sin (x + (h / 2)))) - (f . (x - (h / 2))) is V11() V12() ext-real Element of REAL
K36((1 / (sin (x + (h / 2)))),K38((f . (x - (h / 2))))) is V11() V12() ext-real set
1 / (sin (x - (h / 2))) is V11() V12() ext-real Element of REAL
K39((sin (x - (h / 2)))) is V11() V12() ext-real set
K37(1,K39((sin (x - (h / 2))))) is V11() V12() ext-real set
(1 / (sin (x + (h / 2)))) - (1 / (sin (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K38((1 / (sin (x - (h / 2))))) is V11() V12() ext-real set
K36((1 / (sin (x + (h / 2)))),K38((1 / (sin (x - (h / 2)))))) is V11() V12() ext-real set
1 * (sin (x - (h / 2))) is V11() V12() ext-real Element of REAL
1 * (sin (x + (h / 2))) is V11() V12() ext-real Element of REAL
(1 * (sin (x - (h / 2)))) - (1 * (sin (x + (h / 2)))) is V11() V12() ext-real Element of REAL
K38((1 * (sin (x + (h / 2))))) is V11() V12() ext-real set
K36((1 * (sin (x - (h / 2)))),K38((1 * (sin (x + (h / 2)))))) is V11() V12() ext-real set
(sin (x + (h / 2))) * (sin (x - (h / 2))) is V11() V12() ext-real Element of REAL
((1 * (sin (x - (h / 2)))) - (1 * (sin (x + (h / 2))))) / ((sin (x + (h / 2))) * (sin (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K39(((sin (x + (h / 2))) * (sin (x - (h / 2))))) is V11() V12() ext-real set
K37(((1 * (sin (x - (h / 2)))) - (1 * (sin (x + (h / 2))))),K39(((sin (x + (h / 2))) * (sin (x - (h / 2)))))) is V11() V12() ext-real set
(x + (h / 2)) + (x - (h / 2)) is V11() V12() ext-real Element of REAL
cos ((x + (h / 2)) + (x - (h / 2))) is V11() V12() ext-real Element of REAL
cos . ((x + (h / 2)) + (x - (h / 2))) is V11() V12() ext-real Element of REAL
(x + (h / 2)) - (x - (h / 2)) is V11() V12() ext-real Element of REAL
K38((x - (h / 2))) is V11() V12() ext-real set
K36((x + (h / 2)),K38((x - (h / 2)))) is V11() V12() ext-real set
cos ((x + (h / 2)) - (x - (h / 2))) is V11() V12() ext-real Element of REAL
cos . ((x + (h / 2)) - (x - (h / 2))) is V11() V12() ext-real Element of REAL
(cos ((x + (h / 2)) + (x - (h / 2)))) - (cos ((x + (h / 2)) - (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K38((cos ((x + (h / 2)) - (x - (h / 2))))) is V11() V12() ext-real set
K36((cos ((x + (h / 2)) + (x - (h / 2)))),K38((cos ((x + (h / 2)) - (x - (h / 2)))))) is V11() V12() ext-real set
(1 / 2) * ((cos ((x + (h / 2)) + (x - (h / 2)))) - (cos ((x + (h / 2)) - (x - (h / 2))))) is V11() V12() ext-real Element of REAL
- ((1 / 2) * ((cos ((x + (h / 2)) + (x - (h / 2)))) - (cos ((x + (h / 2)) - (x - (h / 2)))))) is V11() V12() ext-real Element of REAL
((sin (x - (h / 2))) - (sin (x + (h / 2)))) / (- ((1 / 2) * ((cos ((x + (h / 2)) + (x - (h / 2)))) - (cos ((x + (h / 2)) - (x - (h / 2))))))) is V11() V12() ext-real Element of REAL
K39((- ((1 / 2) * ((cos ((x + (h / 2)) + (x - (h / 2)))) - (cos ((x + (h / 2)) - (x - (h / 2)))))))) is V11() V12() ext-real set
K37(((sin (x - (h / 2))) - (sin (x + (h / 2)))),K39((- ((1 / 2) * ((cos ((x + (h / 2)) + (x - (h / 2)))) - (cos ((x + (h / 2)) - (x - (h / 2))))))))) is V11() V12() ext-real set
- (1 / 2) is V1() V11() V12() ext-real Element of REAL
(- (1 / 2)) * ((cos (2 * x)) - (cos h)) is V11() V12() ext-real Element of REAL
((sin (x - (h / 2))) - (sin (x + (h / 2)))) / ((- (1 / 2)) * ((cos (2 * x)) - (cos h))) is V11() V12() ext-real Element of REAL
K39(((- (1 / 2)) * ((cos (2 * x)) - (cos h)))) is V11() V12() ext-real set
K37(((sin (x - (h / 2))) - (sin (x + (h / 2)))),K39(((- (1 / 2)) * ((cos (2 * x)) - (cos h))))) is V11() V12() ext-real set
((sin (x - (h / 2))) - (sin (x + (h / 2)))) / (- (1 / 2)) is V11() V12() ext-real Element of REAL
K39((- (1 / 2))) is V1() V11() V12() ext-real set
K37(((sin (x - (h / 2))) - (sin (x + (h / 2)))),K39((- (1 / 2)))) is V11() V12() ext-real set
(((sin (x - (h / 2))) - (sin (x + (h / 2)))) / (- (1 / 2))) / ((cos (2 * x)) - (cos h)) is V11() V12() ext-real Element of REAL
K37((((sin (x - (h / 2))) - (sin (x + (h / 2)))) / (- (1 / 2))),K39(((cos (2 * x)) - (cos h)))) is V11() V12() ext-real set
((sin (x - (h / 2))) - (sin (x + (h / 2)))) / ((cos (2 * x)) - (cos h)) is V11() V12() ext-real Element of REAL
K37(((sin (x - (h / 2))) - (sin (x + (h / 2)))),K39(((cos (2 * x)) - (cos h)))) is V11() V12() ext-real set
(- 2) * (((sin (x - (h / 2))) - (sin (x + (h / 2)))) / ((cos (2 * x)) - (cos h))) is V11() V12() ext-real Element of REAL
x is V11() V12() ext-real Element of REAL
cos x is V11() V12() ext-real Element of REAL
cos . x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
cos h is V11() V12() ext-real Element of REAL
cos . h is V11() V12() ext-real Element of REAL
(cos h) - (cos x) is V11() V12() ext-real Element of REAL
K38((cos x)) is V11() V12() ext-real set
K36((cos h),K38((cos x))) is V11() V12() ext-real set
2 * ((cos h) - (cos x)) is V11() V12() ext-real Element of REAL
x + h is V11() V12() ext-real Element of REAL
cos (x + h) is V11() V12() ext-real Element of REAL
cos . (x + h) is V11() V12() ext-real Element of REAL
x - h is V11() V12() ext-real Element of REAL
K38(h) is V11() V12() ext-real set
K36(x,K38(h)) is V11() V12() ext-real set
cos (x - h) is V11() V12() ext-real Element of REAL
cos . (x - h) is V11() V12() ext-real Element of REAL
(cos (x + h)) + (cos (x - h)) is V11() V12() ext-real Element of REAL
(2 * ((cos h) - (cos x))) / ((cos (x + h)) + (cos (x - h))) is V11() V12() ext-real Element of REAL
K39(((cos (x + h)) + (cos (x - h)))) is V11() V12() ext-real set
K37((2 * ((cos h) - (cos x))),K39(((cos (x + h)) + (cos (x - h))))) is V11() V12() ext-real set
((2 * ((cos h) - (cos x))) / ((cos (x + h)) + (cos (x - h)))) / (x - h) is V11() V12() ext-real Element of REAL
K39((x - h)) is V11() V12() ext-real set
K37(((2 * ((cos h) - (cos x))) / ((cos (x + h)) + (cos (x - h)))),K39((x - h))) is V11() V12() ext-real set
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
[!f,x,h!] is V11() V12() ext-real Element of REAL
f . x is V11() V12() ext-real Element of REAL
f . h is V11() V12() ext-real Element of REAL
(f . x) - (f . h) is V11() V12() ext-real Element of REAL
K38((f . h)) is V11() V12() ext-real set
K36((f . x),K38((f . h))) is V11() V12() ext-real set
K40(x,h) is V11() V12() ext-real set
((f . x) - (f . h)) / K40(x,h) is V11() V12() ext-real Element of REAL
K39(K40(x,h)) is V11() V12() ext-real set
K37(((f . x) - (f . h)),K39(K40(x,h))) is V11() V12() ext-real set
f . x is V11() V12() ext-real Element of REAL
1 / (cos x) is V11() V12() ext-real Element of REAL
K39((cos x)) is V11() V12() ext-real set
K37(1,K39((cos x))) is V11() V12() ext-real set
f . h is V11() V12() ext-real Element of REAL
1 / (cos h) is V11() V12() ext-real Element of REAL
K39((cos h)) is V11() V12() ext-real set
K37(1,K39((cos h))) is V11() V12() ext-real set
1 * (cos h) is V11() V12() ext-real Element of REAL
1 * (cos x) is V11() V12() ext-real Element of REAL
(1 * (cos h)) - (1 * (cos x)) is V11() V12() ext-real Element of REAL
K38((1 * (cos x))) is V11() V12() ext-real set
K36((1 * (cos h)),K38((1 * (cos x)))) is V11() V12() ext-real set
(cos x) * (cos h) is V11() V12() ext-real Element of REAL
((1 * (cos h)) - (1 * (cos x))) / ((cos x) * (cos h)) is V11() V12() ext-real Element of REAL
K39(((cos x) * (cos h))) is V11() V12() ext-real set
K37(((1 * (cos h)) - (1 * (cos x))),K39(((cos x) * (cos h)))) is V11() V12() ext-real set
(((1 * (cos h)) - (1 * (cos x))) / ((cos x) * (cos h))) / (x - h) is V11() V12() ext-real Element of REAL
K37((((1 * (cos h)) - (1 * (cos x))) / ((cos x) * (cos h))),K39((x - h))) is V11() V12() ext-real set
(1 / 2) * ((cos (x + h)) + (cos (x - h))) is V11() V12() ext-real Element of REAL
((cos h) - (cos x)) / ((1 / 2) * ((cos (x + h)) + (cos (x - h)))) is V11() V12() ext-real Element of REAL
K39(((1 / 2) * ((cos (x + h)) + (cos (x - h))))) is V11() V12() ext-real set
K37(((cos h) - (cos x)),K39(((1 / 2) * ((cos (x + h)) + (cos (x - h)))))) is V11() V12() ext-real set
(((cos h) - (cos x)) / ((1 / 2) * ((cos (x + h)) + (cos (x - h))))) / (x - h) is V11() V12() ext-real Element of REAL
K37((((cos h) - (cos x)) / ((1 / 2) * ((cos (x + h)) + (cos (x - h))))),K39((x - h))) is V11() V12() ext-real set
((cos h) - (cos x)) / (1 / 2) is V11() V12() ext-real Element of REAL
K39((1 / 2)) is V1() V11() V12() ext-real set
K37(((cos h) - (cos x)),K39((1 / 2))) is V11() V12() ext-real set
(((cos h) - (cos x)) / (1 / 2)) / ((cos (x + h)) + (cos (x - h))) is V11() V12() ext-real Element of REAL
K37((((cos h) - (cos x)) / (1 / 2)),K39(((cos (x + h)) + (cos (x - h))))) is V11() V12() ext-real set
((((cos h) - (cos x)) / (1 / 2)) / ((cos (x + h)) + (cos (x - h)))) / (x - h) is V11() V12() ext-real Element of REAL
K37(((((cos h) - (cos x)) / (1 / 2)) / ((cos (x + h)) + (cos (x - h)))),K39((x - h))) is V11() V12() ext-real set
((cos h) - (cos x)) / ((cos (x + h)) + (cos (x - h))) is V11() V12() ext-real Element of REAL
K37(((cos h) - (cos x)),K39(((cos (x + h)) + (cos (x - h))))) is V11() V12() ext-real set
2 * (((cos h) - (cos x)) / ((cos (x + h)) + (cos (x - h)))) is V11() V12() ext-real Element of REAL
(2 * (((cos h) - (cos x)) / ((cos (x + h)) + (cos (x - h))))) / (x - h) is V11() V12() ext-real Element of REAL
K37((2 * (((cos h) - (cos x)) / ((cos (x + h)) + (cos (x - h))))),K39((x - h))) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
cos x is V11() V12() ext-real Element of REAL
cos . x is V11() V12() ext-real Element of REAL
2 * x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
x + h is V11() V12() ext-real Element of REAL
cos (x + h) is V11() V12() ext-real Element of REAL
cos . (x + h) is V11() V12() ext-real Element of REAL
(cos x) - (cos (x + h)) is V11() V12() ext-real Element of REAL
K38((cos (x + h))) is V11() V12() ext-real set
K36((cos x),K38((cos (x + h)))) is V11() V12() ext-real set
2 * ((cos x) - (cos (x + h))) is V11() V12() ext-real Element of REAL
(2 * x) + h is V11() V12() ext-real Element of REAL
cos ((2 * x) + h) is V11() V12() ext-real Element of REAL
cos . ((2 * x) + h) is V11() V12() ext-real Element of REAL
cos h is V11() V12() ext-real Element of REAL
cos . h is V11() V12() ext-real Element of REAL
(cos ((2 * x) + h)) + (cos h) is V11() V12() ext-real Element of REAL
(2 * ((cos x) - (cos (x + h)))) / ((cos ((2 * x) + h)) + (cos h)) is V11() V12() ext-real Element of REAL
K39(((cos ((2 * x) + h)) + (cos h))) is V11() V12() ext-real set
K37((2 * ((cos x) - (cos (x + h)))),K39(((cos ((2 * x) + h)) + (cos h)))) is V11() V12() ext-real set
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
fD (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (f,h)) - f is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(fD (f,h)) . x is V11() V12() ext-real Element of REAL
f . (x + h) is V11() V12() ext-real Element of REAL
1 / (cos (x + h)) is V11() V12() ext-real Element of REAL
K39((cos (x + h))) is V11() V12() ext-real set
K37(1,K39((cos (x + h)))) is V11() V12() ext-real set
f . x is V11() V12() ext-real Element of REAL
(1 / (cos (x + h))) - (f . x) is V11() V12() ext-real Element of REAL
K38((f . x)) is V11() V12() ext-real set
K36((1 / (cos (x + h))),K38((f . x))) is V11() V12() ext-real set
1 / (cos x) is V11() V12() ext-real Element of REAL
K39((cos x)) is V11() V12() ext-real set
K37(1,K39((cos x))) is V11() V12() ext-real set
(1 / (cos (x + h))) - (1 / (cos x)) is V11() V12() ext-real Element of REAL
K38((1 / (cos x))) is V11() V12() ext-real set
K36((1 / (cos (x + h))),K38((1 / (cos x)))) is V11() V12() ext-real set
1 * (cos x) is V11() V12() ext-real Element of REAL
1 * (cos (x + h)) is V11() V12() ext-real Element of REAL
(1 * (cos x)) - (1 * (cos (x + h))) is V11() V12() ext-real Element of REAL
K38((1 * (cos (x + h)))) is V11() V12() ext-real set
K36((1 * (cos x)),K38((1 * (cos (x + h))))) is V11() V12() ext-real set
(cos (x + h)) * (cos x) is V11() V12() ext-real Element of REAL
((1 * (cos x)) - (1 * (cos (x + h)))) / ((cos (x + h)) * (cos x)) is V11() V12() ext-real Element of REAL
K39(((cos (x + h)) * (cos x))) is V11() V12() ext-real set
K37(((1 * (cos x)) - (1 * (cos (x + h)))),K39(((cos (x + h)) * (cos x)))) is V11() V12() ext-real set
(x + h) + x is V11() V12() ext-real Element of REAL
cos ((x + h) + x) is V11() V12() ext-real Element of REAL
cos . ((x + h) + x) is V11() V12() ext-real Element of REAL
(x + h) - x is V11() V12() ext-real Element of REAL
K38(x) is V11() V12() ext-real set
K36((x + h),K38(x)) is V11() V12() ext-real set
cos ((x + h) - x) is V11() V12() ext-real Element of REAL
cos . ((x + h) - x) is V11() V12() ext-real Element of REAL
(cos ((x + h) + x)) + (cos ((x + h) - x)) is V11() V12() ext-real Element of REAL
(1 / 2) * ((cos ((x + h) + x)) + (cos ((x + h) - x))) is V11() V12() ext-real Element of REAL
((cos x) - (cos (x + h))) / ((1 / 2) * ((cos ((x + h) + x)) + (cos ((x + h) - x)))) is V11() V12() ext-real Element of REAL
K39(((1 / 2) * ((cos ((x + h) + x)) + (cos ((x + h) - x))))) is V11() V12() ext-real set
K37(((cos x) - (cos (x + h))),K39(((1 / 2) * ((cos ((x + h) + x)) + (cos ((x + h) - x)))))) is V11() V12() ext-real set
((cos x) - (cos (x + h))) / (1 / 2) is V11() V12() ext-real Element of REAL
K39((1 / 2)) is V1() V11() V12() ext-real set
K37(((cos x) - (cos (x + h))),K39((1 / 2))) is V11() V12() ext-real set
(((cos x) - (cos (x + h))) / (1 / 2)) / ((cos ((2 * x) + h)) + (cos h)) is V11() V12() ext-real Element of REAL
K37((((cos x) - (cos (x + h))) / (1 / 2)),K39(((cos ((2 * x) + h)) + (cos h)))) is V11() V12() ext-real set
((cos x) - (cos (x + h))) / ((cos ((2 * x) + h)) + (cos h)) is V11() V12() ext-real Element of REAL
K37(((cos x) - (cos (x + h))),K39(((cos ((2 * x) + h)) + (cos h)))) is V11() V12() ext-real set
2 * (((cos x) - (cos (x + h))) / ((cos ((2 * x) + h)) + (cos h))) is V11() V12() ext-real Element of REAL
x is V11() V12() ext-real Element of REAL
cos x is V11() V12() ext-real Element of REAL
cos . x is V11() V12() ext-real Element of REAL
2 * x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
x - h is V11() V12() ext-real Element of REAL
K38(h) is V11() V12() ext-real set
K36(x,K38(h)) is V11() V12() ext-real set
cos (x - h) is V11() V12() ext-real Element of REAL
cos . (x - h) is V11() V12() ext-real Element of REAL
(cos (x - h)) - (cos x) is V11() V12() ext-real Element of REAL
K38((cos x)) is V11() V12() ext-real set
K36((cos (x - h)),K38((cos x))) is V11() V12() ext-real set
2 * ((cos (x - h)) - (cos x)) is V11() V12() ext-real Element of REAL
(2 * x) - h is V11() V12() ext-real Element of REAL
K36((2 * x),K38(h)) is V11() V12() ext-real set
cos ((2 * x) - h) is V11() V12() ext-real Element of REAL
cos . ((2 * x) - h) is V11() V12() ext-real Element of REAL
cos h is V11() V12() ext-real Element of REAL
cos . h is V11() V12() ext-real Element of REAL
(cos ((2 * x) - h)) + (cos h) is V11() V12() ext-real Element of REAL
(2 * ((cos (x - h)) - (cos x))) / ((cos ((2 * x) - h)) + (cos h)) is V11() V12() ext-real Element of REAL
K39(((cos ((2 * x) - h)) + (cos h))) is V11() V12() ext-real set
K37((2 * ((cos (x - h)) - (cos x))),K39(((cos ((2 * x) - h)) + (cos h)))) is V11() V12() ext-real set
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
bD (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (f,K38(h)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
f - (Shift (f,K38(h))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(bD (f,h)) . x is V11() V12() ext-real Element of REAL
f . x is V11() V12() ext-real Element of REAL
f . (x - h) is V11() V12() ext-real Element of REAL
(f . x) - (f . (x - h)) is V11() V12() ext-real Element of REAL
K38((f . (x - h))) is V11() V12() ext-real set
K36((f . x),K38((f . (x - h)))) is V11() V12() ext-real set
1 / (cos x) is V11() V12() ext-real Element of REAL
K39((cos x)) is V11() V12() ext-real set
K37(1,K39((cos x))) is V11() V12() ext-real set
(1 / (cos x)) - (f . (x - h)) is V11() V12() ext-real Element of REAL
K36((1 / (cos x)),K38((f . (x - h)))) is V11() V12() ext-real set
1 / (cos (x - h)) is V11() V12() ext-real Element of REAL
K39((cos (x - h))) is V11() V12() ext-real set
K37(1,K39((cos (x - h)))) is V11() V12() ext-real set
(1 / (cos x)) - (1 / (cos (x - h))) is V11() V12() ext-real Element of REAL
K38((1 / (cos (x - h)))) is V11() V12() ext-real set
K36((1 / (cos x)),K38((1 / (cos (x - h))))) is V11() V12() ext-real set
1 * (cos (x - h)) is V11() V12() ext-real Element of REAL
1 * (cos x) is V11() V12() ext-real Element of REAL
(1 * (cos (x - h))) - (1 * (cos x)) is V11() V12() ext-real Element of REAL
K38((1 * (cos x))) is V11() V12() ext-real set
K36((1 * (cos (x - h))),K38((1 * (cos x)))) is V11() V12() ext-real set
(cos x) * (cos (x - h)) is V11() V12() ext-real Element of REAL
((1 * (cos (x - h))) - (1 * (cos x))) / ((cos x) * (cos (x - h))) is V11() V12() ext-real Element of REAL
K39(((cos x) * (cos (x - h)))) is V11() V12() ext-real set
K37(((1 * (cos (x - h))) - (1 * (cos x))),K39(((cos x) * (cos (x - h))))) is V11() V12() ext-real set
x + (x - h) is V11() V12() ext-real Element of REAL
cos (x + (x - h)) is V11() V12() ext-real Element of REAL
cos . (x + (x - h)) is V11() V12() ext-real Element of REAL
x - (x - h) is V11() V12() ext-real Element of REAL
K38((x - h)) is V11() V12() ext-real set
K36(x,K38((x - h))) is V11() V12() ext-real set
cos (x - (x - h)) is V11() V12() ext-real Element of REAL
cos . (x - (x - h)) is V11() V12() ext-real Element of REAL
(cos (x + (x - h))) + (cos (x - (x - h))) is V11() V12() ext-real Element of REAL
(1 / 2) * ((cos (x + (x - h))) + (cos (x - (x - h)))) is V11() V12() ext-real Element of REAL
((cos (x - h)) - (cos x)) / ((1 / 2) * ((cos (x + (x - h))) + (cos (x - (x - h))))) is V11() V12() ext-real Element of REAL
K39(((1 / 2) * ((cos (x + (x - h))) + (cos (x - (x - h)))))) is V11() V12() ext-real set
K37(((cos (x - h)) - (cos x)),K39(((1 / 2) * ((cos (x + (x - h))) + (cos (x - (x - h))))))) is V11() V12() ext-real set
((cos (x - h)) - (cos x)) / (1 / 2) is V11() V12() ext-real Element of REAL
K39((1 / 2)) is V1() V11() V12() ext-real set
K37(((cos (x - h)) - (cos x)),K39((1 / 2))) is V11() V12() ext-real set
(((cos (x - h)) - (cos x)) / (1 / 2)) / ((cos ((2 * x) - h)) + (cos h)) is V11() V12() ext-real Element of REAL
K37((((cos (x - h)) - (cos x)) / (1 / 2)),K39(((cos ((2 * x) - h)) + (cos h)))) is V11() V12() ext-real set
((cos (x - h)) - (cos x)) / ((cos ((2 * x) - h)) + (cos h)) is V11() V12() ext-real Element of REAL
K37(((cos (x - h)) - (cos x)),K39(((cos ((2 * x) - h)) + (cos h)))) is V11() V12() ext-real set
2 * (((cos (x - h)) - (cos x)) / ((cos ((2 * x) - h)) + (cos h))) is V11() V12() ext-real Element of REAL
x is V11() V12() ext-real Element of REAL
2 * x is V11() V12() ext-real Element of REAL
cos (2 * x) is V11() V12() ext-real Element of REAL
cos . (2 * x) is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
h / 2 is V11() V12() ext-real Element of REAL
K37(h,K39(2)) is V11() V12() ext-real set
x + (h / 2) is V11() V12() ext-real Element of REAL
cos (x + (h / 2)) is V11() V12() ext-real Element of REAL
cos . (x + (h / 2)) is V11() V12() ext-real Element of REAL
x - (h / 2) is V11() V12() ext-real Element of REAL
K38((h / 2)) is V11() V12() ext-real set
K36(x,K38((h / 2))) is V11() V12() ext-real set
cos (x - (h / 2)) is V11() V12() ext-real Element of REAL
cos . (x - (h / 2)) is V11() V12() ext-real Element of REAL
(cos (x - (h / 2))) - (cos (x + (h / 2))) is V11() V12() ext-real Element of REAL
K38((cos (x + (h / 2)))) is V11() V12() ext-real set
K36((cos (x - (h / 2))),K38((cos (x + (h / 2))))) is V11() V12() ext-real set
2 * ((cos (x - (h / 2))) - (cos (x + (h / 2)))) is V11() V12() ext-real Element of REAL
cos h is V11() V12() ext-real Element of REAL
cos . h is V11() V12() ext-real Element of REAL
(cos (2 * x)) + (cos h) is V11() V12() ext-real Element of REAL
(2 * ((cos (x - (h / 2))) - (cos (x + (h / 2))))) / ((cos (2 * x)) + (cos h)) is V11() V12() ext-real Element of REAL
K39(((cos (2 * x)) + (cos h))) is V11() V12() ext-real set
K37((2 * ((cos (x - (h / 2))) - (cos (x + (h / 2))))),K39(((cos (2 * x)) + (cos h)))) is V11() V12() ext-real set
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
cD (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
h / 2 is V11() V12() ext-real Element of REAL
Shift (f,(h / 2)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
- (h / 2) is V11() V12() ext-real Element of REAL
Shift (f,(- (h / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (f,(h / 2))) - (Shift (f,(- (h / 2)))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(cD (f,h)) . x is V11() V12() ext-real Element of REAL
f . (x + (h / 2)) is V11() V12() ext-real Element of REAL
f . (x - (h / 2)) is V11() V12() ext-real Element of REAL
(f . (x + (h / 2))) - (f . (x - (h / 2))) is V11() V12() ext-real Element of REAL
K38((f . (x - (h / 2)))) is V11() V12() ext-real set
K36((f . (x + (h / 2))),K38((f . (x - (h / 2))))) is V11() V12() ext-real set
1 / (cos (x + (h / 2))) is V11() V12() ext-real Element of REAL
K39((cos (x + (h / 2)))) is V11() V12() ext-real set
K37(1,K39((cos (x + (h / 2))))) is V11() V12() ext-real set
(1 / (cos (x + (h / 2)))) - (f . (x - (h / 2))) is V11() V12() ext-real Element of REAL
K36((1 / (cos (x + (h / 2)))),K38((f . (x - (h / 2))))) is V11() V12() ext-real set
1 / (cos (x - (h / 2))) is V11() V12() ext-real Element of REAL
K39((cos (x - (h / 2)))) is V11() V12() ext-real set
K37(1,K39((cos (x - (h / 2))))) is V11() V12() ext-real set
(1 / (cos (x + (h / 2)))) - (1 / (cos (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K38((1 / (cos (x - (h / 2))))) is V11() V12() ext-real set
K36((1 / (cos (x + (h / 2)))),K38((1 / (cos (x - (h / 2)))))) is V11() V12() ext-real set
1 * (cos (x - (h / 2))) is V11() V12() ext-real Element of REAL
1 * (cos (x + (h / 2))) is V11() V12() ext-real Element of REAL
(1 * (cos (x - (h / 2)))) - (1 * (cos (x + (h / 2)))) is V11() V12() ext-real Element of REAL
K38((1 * (cos (x + (h / 2))))) is V11() V12() ext-real set
K36((1 * (cos (x - (h / 2)))),K38((1 * (cos (x + (h / 2)))))) is V11() V12() ext-real set
(cos (x + (h / 2))) * (cos (x - (h / 2))) is V11() V12() ext-real Element of REAL
((1 * (cos (x - (h / 2)))) - (1 * (cos (x + (h / 2))))) / ((cos (x + (h / 2))) * (cos (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K39(((cos (x + (h / 2))) * (cos (x - (h / 2))))) is V11() V12() ext-real set
K37(((1 * (cos (x - (h / 2)))) - (1 * (cos (x + (h / 2))))),K39(((cos (x + (h / 2))) * (cos (x - (h / 2)))))) is V11() V12() ext-real set
(x + (h / 2)) + (x - (h / 2)) is V11() V12() ext-real Element of REAL
cos ((x + (h / 2)) + (x - (h / 2))) is V11() V12() ext-real Element of REAL
cos . ((x + (h / 2)) + (x - (h / 2))) is V11() V12() ext-real Element of REAL
(x + (h / 2)) - (x - (h / 2)) is V11() V12() ext-real Element of REAL
K38((x - (h / 2))) is V11() V12() ext-real set
K36((x + (h / 2)),K38((x - (h / 2)))) is V11() V12() ext-real set
cos ((x + (h / 2)) - (x - (h / 2))) is V11() V12() ext-real Element of REAL
cos . ((x + (h / 2)) - (x - (h / 2))) is V11() V12() ext-real Element of REAL
(cos ((x + (h / 2)) + (x - (h / 2)))) + (cos ((x + (h / 2)) - (x - (h / 2)))) is V11() V12() ext-real Element of REAL
(1 / 2) * ((cos ((x + (h / 2)) + (x - (h / 2)))) + (cos ((x + (h / 2)) - (x - (h / 2))))) is V11() V12() ext-real Element of REAL
((cos (x - (h / 2))) - (cos (x + (h / 2)))) / ((1 / 2) * ((cos ((x + (h / 2)) + (x - (h / 2)))) + (cos ((x + (h / 2)) - (x - (h / 2)))))) is V11() V12() ext-real Element of REAL
K39(((1 / 2) * ((cos ((x + (h / 2)) + (x - (h / 2)))) + (cos ((x + (h / 2)) - (x - (h / 2))))))) is V11() V12() ext-real set
K37(((cos (x - (h / 2))) - (cos (x + (h / 2)))),K39(((1 / 2) * ((cos ((x + (h / 2)) + (x - (h / 2)))) + (cos ((x + (h / 2)) - (x - (h / 2)))))))) is V11() V12() ext-real set
((cos (x - (h / 2))) - (cos (x + (h / 2)))) / (1 / 2) is V11() V12() ext-real Element of REAL
K39((1 / 2)) is V1() V11() V12() ext-real set
K37(((cos (x - (h / 2))) - (cos (x + (h / 2)))),K39((1 / 2))) is V11() V12() ext-real set
(((cos (x - (h / 2))) - (cos (x + (h / 2)))) / (1 / 2)) / ((cos (2 * x)) + (cos h)) is V11() V12() ext-real Element of REAL
K37((((cos (x - (h / 2))) - (cos (x + (h / 2)))) / (1 / 2)),K39(((cos (2 * x)) + (cos h)))) is V11() V12() ext-real set
((cos (x - (h / 2))) - (cos (x + (h / 2)))) / ((cos (2 * x)) + (cos h)) is V11() V12() ext-real Element of REAL
K37(((cos (x - (h / 2))) - (cos (x + (h / 2)))),K39(((cos (2 * x)) + (cos h)))) is V11() V12() ext-real set
2 * (((cos (x - (h / 2))) - (cos (x + (h / 2)))) / ((cos (2 * x)) + (cos h))) is V11() V12() ext-real Element of REAL
16 is V1() V10() V11() V12() ext-real positive V43() V49() V50() V51() V52() V53() V54() V55() Element of NAT
x is V11() V12() ext-real Element of REAL
sin x is V11() V12() ext-real Element of REAL
sin . x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
sin h is V11() V12() ext-real Element of REAL
sin . h is V11() V12() ext-real Element of REAL
h + x is V11() V12() ext-real Element of REAL
(h + x) / 2 is V11() V12() ext-real Element of REAL
K37((h + x),K39(2)) is V11() V12() ext-real set
cos ((h + x) / 2) is V11() V12() ext-real Element of REAL
cos . ((h + x) / 2) is V11() V12() ext-real Element of REAL
16 * (cos ((h + x) / 2)) is V11() V12() ext-real Element of REAL
h - x is V11() V12() ext-real Element of REAL
K38(x) is V11() V12() ext-real set
K36(h,K38(x)) is V11() V12() ext-real set
(h - x) / 2 is V11() V12() ext-real Element of REAL
K37((h - x),K39(2)) is V11() V12() ext-real set
sin ((h - x) / 2) is V11() V12() ext-real Element of REAL
sin . ((h - x) / 2) is V11() V12() ext-real Element of REAL
(16 * (cos ((h + x) / 2))) * (sin ((h - x) / 2)) is V11() V12() ext-real Element of REAL
cos ((h - x) / 2) is V11() V12() ext-real Element of REAL
cos . ((h - x) / 2) is V11() V12() ext-real Element of REAL
((16 * (cos ((h + x) / 2))) * (sin ((h - x) / 2))) * (cos ((h - x) / 2)) is V11() V12() ext-real Element of REAL
sin ((h + x) / 2) is V11() V12() ext-real Element of REAL
sin . ((h + x) / 2) is V11() V12() ext-real Element of REAL
(((16 * (cos ((h + x) / 2))) * (sin ((h - x) / 2))) * (cos ((h - x) / 2))) * (sin ((h + x) / 2)) is V11() V12() ext-real Element of REAL
x + h is V11() V12() ext-real Element of REAL
cos (x + h) is V11() V12() ext-real Element of REAL
cos . (x + h) is V11() V12() ext-real Element of REAL
x - h is V11() V12() ext-real Element of REAL
K38(h) is V11() V12() ext-real set
K36(x,K38(h)) is V11() V12() ext-real set
cos (x - h) is V11() V12() ext-real Element of REAL
cos . (x - h) is V11() V12() ext-real Element of REAL
(cos (x + h)) - (cos (x - h)) is V11() V12() ext-real Element of REAL
K38((cos (x - h))) is V11() V12() ext-real set
K36((cos (x + h)),K38((cos (x - h)))) is V11() V12() ext-real set
((cos (x + h)) - (cos (x - h))) ^2 is V11() V12() ext-real Element of REAL
K37(((cos (x + h)) - (cos (x - h))),((cos (x + h)) - (cos (x - h)))) is V11() V12() ext-real set
(((cos (x + h)) - (cos (x - h))) ^2) * (x - h) is V11() V12() ext-real Element of REAL
((((16 * (cos ((h + x) / 2))) * (sin ((h - x) / 2))) * (cos ((h - x) / 2))) * (sin ((h + x) / 2))) / ((((cos (x + h)) - (cos (x - h))) ^2) * (x - h)) is V11() V12() ext-real Element of REAL
K39(((((cos (x + h)) - (cos (x - h))) ^2) * (x - h))) is V11() V12() ext-real set
K37(((((16 * (cos ((h + x) / 2))) * (sin ((h - x) / 2))) * (cos ((h - x) / 2))) * (sin ((h + x) / 2))),K39(((((cos (x + h)) - (cos (x - h))) ^2) * (x - h)))) is V11() V12() ext-real set
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
[!f,x,h!] is V11() V12() ext-real Element of REAL
f . x is V11() V12() ext-real Element of REAL
f . h is V11() V12() ext-real Element of REAL
(f . x) - (f . h) is V11() V12() ext-real Element of REAL
K38((f . h)) is V11() V12() ext-real set
K36((f . x),K38((f . h))) is V11() V12() ext-real set
K40(x,h) is V11() V12() ext-real set
((f . x) - (f . h)) / K40(x,h) is V11() V12() ext-real Element of REAL
K39(K40(x,h)) is V11() V12() ext-real set
K37(((f . x) - (f . h)),K39(K40(x,h))) is V11() V12() ext-real set
f . x is V11() V12() ext-real Element of REAL
(sin x) ^2 is V11() V12() ext-real Element of REAL
K37((sin x),(sin x)) is V11() V12() ext-real set
1 / ((sin x) ^2) is V11() V12() ext-real Element of REAL
K39(((sin x) ^2)) is V11() V12() ext-real set
K37(1,K39(((sin x) ^2))) is V11() V12() ext-real set
f . h is V11() V12() ext-real Element of REAL
(sin h) ^2 is V11() V12() ext-real Element of REAL
K37((sin h),(sin h)) is V11() V12() ext-real set
1 / ((sin h) ^2) is V11() V12() ext-real Element of REAL
K39(((sin h) ^2)) is V11() V12() ext-real set
K37(1,K39(((sin h) ^2))) is V11() V12() ext-real set
1 * ((sin h) ^2) is V11() V12() ext-real Element of REAL
1 * ((sin x) ^2) is V11() V12() ext-real Element of REAL
(1 * ((sin h) ^2)) - (1 * ((sin x) ^2)) is V11() V12() ext-real Element of REAL
K38((1 * ((sin x) ^2))) is V11() V12() ext-real set
K36((1 * ((sin h) ^2)),K38((1 * ((sin x) ^2)))) is V11() V12() ext-real set
((sin x) ^2) * ((sin h) ^2) is V11() V12() ext-real Element of REAL
((1 * ((sin h) ^2)) - (1 * ((sin x) ^2))) / (((sin x) ^2) * ((sin h) ^2)) is V11() V12() ext-real Element of REAL
K39((((sin x) ^2) * ((sin h) ^2))) is V11() V12() ext-real set
K37(((1 * ((sin h) ^2)) - (1 * ((sin x) ^2))),K39((((sin x) ^2) * ((sin h) ^2)))) is V11() V12() ext-real set
(((1 * ((sin h) ^2)) - (1 * ((sin x) ^2))) / (((sin x) ^2) * ((sin h) ^2))) / (x - h) is V11() V12() ext-real Element of REAL
K39((x - h)) is V11() V12() ext-real set
K37((((1 * ((sin h) ^2)) - (1 * ((sin x) ^2))) / (((sin x) ^2) * ((sin h) ^2))),K39((x - h))) is V11() V12() ext-real set
((sin h) ^2) - ((sin x) ^2) is V11() V12() ext-real Element of REAL
K38(((sin x) ^2)) is V11() V12() ext-real set
K36(((sin h) ^2),K38(((sin x) ^2))) is V11() V12() ext-real set
(sin x) * (sin h) is V11() V12() ext-real Element of REAL
((sin x) * (sin h)) ^2 is V11() V12() ext-real Element of REAL
K37(((sin x) * (sin h)),((sin x) * (sin h))) is V11() V12() ext-real set
(((sin h) ^2) - ((sin x) ^2)) / (((sin x) * (sin h)) ^2) is V11() V12() ext-real Element of REAL
K39((((sin x) * (sin h)) ^2)) is V11() V12() ext-real set
K37((((sin h) ^2) - ((sin x) ^2)),K39((((sin x) * (sin h)) ^2))) is V11() V12() ext-real set
((((sin h) ^2) - ((sin x) ^2)) / (((sin x) * (sin h)) ^2)) / (x - h) is V11() V12() ext-real Element of REAL
K37(((((sin h) ^2) - ((sin x) ^2)) / (((sin x) * (sin h)) ^2)),K39((x - h))) is V11() V12() ext-real set
(1 / 2) * ((cos (x + h)) - (cos (x - h))) is V11() V12() ext-real Element of REAL
- ((1 / 2) * ((cos (x + h)) - (cos (x - h)))) is V11() V12() ext-real Element of REAL
(- ((1 / 2) * ((cos (x + h)) - (cos (x - h))))) ^2 is V11() V12() ext-real Element of REAL
K37((- ((1 / 2) * ((cos (x + h)) - (cos (x - h))))),(- ((1 / 2) * ((cos (x + h)) - (cos (x - h)))))) is V11() V12() ext-real set
(((sin h) ^2) - ((sin x) ^2)) / ((- ((1 / 2) * ((cos (x + h)) - (cos (x - h))))) ^2) is V11() V12() ext-real Element of REAL
K39(((- ((1 / 2) * ((cos (x + h)) - (cos (x - h))))) ^2)) is V11() V12() ext-real set
K37((((sin h) ^2) - ((sin x) ^2)),K39(((- ((1 / 2) * ((cos (x + h)) - (cos (x - h))))) ^2))) is V11() V12() ext-real set
((((sin h) ^2) - ((sin x) ^2)) / ((- ((1 / 2) * ((cos (x + h)) - (cos (x - h))))) ^2)) / (x - h) is V11() V12() ext-real Element of REAL
K37(((((sin h) ^2) - ((sin x) ^2)) / ((- ((1 / 2) * ((cos (x + h)) - (cos (x - h))))) ^2)),K39((x - h))) is V11() V12() ext-real set
1 / 4 is V1() V11() V12() ext-real Element of REAL
(1 / 4) * (((cos (x + h)) - (cos (x - h))) ^2) is V11() V12() ext-real Element of REAL
(((sin h) ^2) - ((sin x) ^2)) / ((1 / 4) * (((cos (x + h)) - (cos (x - h))) ^2)) is V11() V12() ext-real Element of REAL
K39(((1 / 4) * (((cos (x + h)) - (cos (x - h))) ^2))) is V11() V12() ext-real set
K37((((sin h) ^2) - ((sin x) ^2)),K39(((1 / 4) * (((cos (x + h)) - (cos (x - h))) ^2)))) is V11() V12() ext-real set
((((sin h) ^2) - ((sin x) ^2)) / ((1 / 4) * (((cos (x + h)) - (cos (x - h))) ^2))) / (x - h) is V11() V12() ext-real Element of REAL
K37(((((sin h) ^2) - ((sin x) ^2)) / ((1 / 4) * (((cos (x + h)) - (cos (x - h))) ^2))),K39((x - h))) is V11() V12() ext-real set
(((sin h) ^2) - ((sin x) ^2)) / (1 / 4) is V11() V12() ext-real Element of REAL
K39((1 / 4)) is V1() V11() V12() ext-real set
K37((((sin h) ^2) - ((sin x) ^2)),K39((1 / 4))) is V11() V12() ext-real set
((((sin h) ^2) - ((sin x) ^2)) / (1 / 4)) / (((cos (x + h)) - (cos (x - h))) ^2) is V11() V12() ext-real Element of REAL
K39((((cos (x + h)) - (cos (x - h))) ^2)) is V11() V12() ext-real set
K37(((((sin h) ^2) - ((sin x) ^2)) / (1 / 4)),K39((((cos (x + h)) - (cos (x - h))) ^2))) is V11() V12() ext-real set
(((((sin h) ^2) - ((sin x) ^2)) / (1 / 4)) / (((cos (x + h)) - (cos (x - h))) ^2)) / (x - h) is V11() V12() ext-real Element of REAL
K37((((((sin h) ^2) - ((sin x) ^2)) / (1 / 4)) / (((cos (x + h)) - (cos (x - h))) ^2)),K39((x - h))) is V11() V12() ext-real set
(sin h) - (sin x) is V11() V12() ext-real Element of REAL
K38((sin x)) is V11() V12() ext-real set
K36((sin h),K38((sin x))) is V11() V12() ext-real set
(sin h) + (sin x) is V11() V12() ext-real Element of REAL
((sin h) - (sin x)) * ((sin h) + (sin x)) is V11() V12() ext-real Element of REAL
4 * (((sin h) - (sin x)) * ((sin h) + (sin x))) is V11() V12() ext-real Element of REAL
(4 * (((sin h) - (sin x)) * ((sin h) + (sin x)))) / (((cos (x + h)) - (cos (x - h))) ^2) is V11() V12() ext-real Element of REAL
K37((4 * (((sin h) - (sin x)) * ((sin h) + (sin x)))),K39((((cos (x + h)) - (cos (x - h))) ^2))) is V11() V12() ext-real set
((4 * (((sin h) - (sin x)) * ((sin h) + (sin x)))) / (((cos (x + h)) - (cos (x - h))) ^2)) / (x - h) is V11() V12() ext-real Element of REAL
K37(((4 * (((sin h) - (sin x)) * ((sin h) + (sin x)))) / (((cos (x + h)) - (cos (x - h))) ^2)),K39((x - h))) is V11() V12() ext-real set
(cos ((h + x) / 2)) * (sin ((h - x) / 2)) is V11() V12() ext-real Element of REAL
2 * ((cos ((h + x) / 2)) * (sin ((h - x) / 2))) is V11() V12() ext-real Element of REAL
(2 * ((cos ((h + x) / 2)) * (sin ((h - x) / 2)))) * ((sin h) + (sin x)) is V11() V12() ext-real Element of REAL
4 * ((2 * ((cos ((h + x) / 2)) * (sin ((h - x) / 2)))) * ((sin h) + (sin x))) is V11() V12() ext-real Element of REAL
(4 * ((2 * ((cos ((h + x) / 2)) * (sin ((h - x) / 2)))) * ((sin h) + (sin x)))) / (((cos (x + h)) - (cos (x - h))) ^2) is V11() V12() ext-real Element of REAL
K37((4 * ((2 * ((cos ((h + x) / 2)) * (sin ((h - x) / 2)))) * ((sin h) + (sin x)))),K39((((cos (x + h)) - (cos (x - h))) ^2))) is V11() V12() ext-real set
((4 * ((2 * ((cos ((h + x) / 2)) * (sin ((h - x) / 2)))) * ((sin h) + (sin x)))) / (((cos (x + h)) - (cos (x - h))) ^2)) / (x - h) is V11() V12() ext-real Element of REAL
K37(((4 * ((2 * ((cos ((h + x) / 2)) * (sin ((h - x) / 2)))) * ((sin h) + (sin x)))) / (((cos (x + h)) - (cos (x - h))) ^2)),K39((x - h))) is V11() V12() ext-real set
(cos ((h - x) / 2)) * (sin ((h + x) / 2)) is V11() V12() ext-real Element of REAL
2 * ((cos ((h - x) / 2)) * (sin ((h + x) / 2))) is V11() V12() ext-real Element of REAL
(2 * ((cos ((h + x) / 2)) * (sin ((h - x) / 2)))) * (2 * ((cos ((h - x) / 2)) * (sin ((h + x) / 2)))) is V11() V12() ext-real Element of REAL
4 * ((2 * ((cos ((h + x) / 2)) * (sin ((h - x) / 2)))) * (2 * ((cos ((h - x) / 2)) * (sin ((h + x) / 2))))) is V11() V12() ext-real Element of REAL
(4 * ((2 * ((cos ((h + x) / 2)) * (sin ((h - x) / 2)))) * (2 * ((cos ((h - x) / 2)) * (sin ((h + x) / 2)))))) / (((cos (x + h)) - (cos (x - h))) ^2) is V11() V12() ext-real Element of REAL
K37((4 * ((2 * ((cos ((h + x) / 2)) * (sin ((h - x) / 2)))) * (2 * ((cos ((h - x) / 2)) * (sin ((h + x) / 2)))))),K39((((cos (x + h)) - (cos (x - h))) ^2))) is V11() V12() ext-real set
((4 * ((2 * ((cos ((h + x) / 2)) * (sin ((h - x) / 2)))) * (2 * ((cos ((h - x) / 2)) * (sin ((h + x) / 2)))))) / (((cos (x + h)) - (cos (x - h))) ^2)) / (x - h) is V11() V12() ext-real Element of REAL
K37(((4 * ((2 * ((cos ((h + x) / 2)) * (sin ((h - x) / 2)))) * (2 * ((cos ((h - x) / 2)) * (sin ((h + x) / 2)))))) / (((cos (x + h)) - (cos (x - h))) ^2)),K39((x - h))) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
sin x is V11() V12() ext-real Element of REAL
sin . x is V11() V12() ext-real Element of REAL
2 * x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
x + h is V11() V12() ext-real Element of REAL
sin (x + h) is V11() V12() ext-real Element of REAL
sin . (x + h) is V11() V12() ext-real Element of REAL
(2 * x) + h is V11() V12() ext-real Element of REAL
((2 * x) + h) / 2 is V11() V12() ext-real Element of REAL
K37(((2 * x) + h),K39(2)) is V11() V12() ext-real set
cos (((2 * x) + h) / 2) is V11() V12() ext-real Element of REAL
cos . (((2 * x) + h) / 2) is V11() V12() ext-real Element of REAL
16 * (cos (((2 * x) + h) / 2)) is V11() V12() ext-real Element of REAL
- h is V11() V12() ext-real Element of REAL
(- h) / 2 is V11() V12() ext-real Element of REAL
K37((- h),K39(2)) is V11() V12() ext-real set
sin ((- h) / 2) is V11() V12() ext-real Element of REAL
sin . ((- h) / 2) is V11() V12() ext-real Element of REAL
(16 * (cos (((2 * x) + h) / 2))) * (sin ((- h) / 2)) is V11() V12() ext-real Element of REAL
cos ((- h) / 2) is V11() V12() ext-real Element of REAL
cos . ((- h) / 2) is V11() V12() ext-real Element of REAL
((16 * (cos (((2 * x) + h) / 2))) * (sin ((- h) / 2))) * (cos ((- h) / 2)) is V11() V12() ext-real Element of REAL
sin (((2 * x) + h) / 2) is V11() V12() ext-real Element of REAL
sin . (((2 * x) + h) / 2) is V11() V12() ext-real Element of REAL
(((16 * (cos (((2 * x) + h) / 2))) * (sin ((- h) / 2))) * (cos ((- h) / 2))) * (sin (((2 * x) + h) / 2)) is V11() V12() ext-real Element of REAL
cos ((2 * x) + h) is V11() V12() ext-real Element of REAL
cos . ((2 * x) + h) is V11() V12() ext-real Element of REAL
cos h is V11() V12() ext-real Element of REAL
cos . h is V11() V12() ext-real Element of REAL
(cos ((2 * x) + h)) - (cos h) is V11() V12() ext-real Element of REAL
K38((cos h)) is V11() V12() ext-real set
K36((cos ((2 * x) + h)),K38((cos h))) is V11() V12() ext-real set
((cos ((2 * x) + h)) - (cos h)) ^2 is V11() V12() ext-real Element of REAL
K37(((cos ((2 * x) + h)) - (cos h)),((cos ((2 * x) + h)) - (cos h))) is V11() V12() ext-real set
((((16 * (cos (((2 * x) + h) / 2))) * (sin ((- h) / 2))) * (cos ((- h) / 2))) * (sin (((2 * x) + h) / 2))) / (((cos ((2 * x) + h)) - (cos h)) ^2) is V11() V12() ext-real Element of REAL
K39((((cos ((2 * x) + h)) - (cos h)) ^2)) is V11() V12() ext-real set
K37(((((16 * (cos (((2 * x) + h) / 2))) * (sin ((- h) / 2))) * (cos ((- h) / 2))) * (sin (((2 * x) + h) / 2))),K39((((cos ((2 * x) + h)) - (cos h)) ^2))) is V11() V12() ext-real set
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
fD (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (f,h)) - f is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(fD (f,h)) . x is V11() V12() ext-real Element of REAL
f . (x + h) is V11() V12() ext-real Element of REAL
f . x is V11() V12() ext-real Element of REAL
(f . (x + h)) - (f . x) is V11() V12() ext-real Element of REAL
K38((f . x)) is V11() V12() ext-real set
K36((f . (x + h)),K38((f . x))) is V11() V12() ext-real set
(sin (x + h)) ^2 is V11() V12() ext-real Element of REAL
K37((sin (x + h)),(sin (x + h))) is V11() V12() ext-real set
1 / ((sin (x + h)) ^2) is V11() V12() ext-real Element of REAL
K39(((sin (x + h)) ^2)) is V11() V12() ext-real set
K37(1,K39(((sin (x + h)) ^2))) is V11() V12() ext-real set
(1 / ((sin (x + h)) ^2)) - (f . x) is V11() V12() ext-real Element of REAL
K36((1 / ((sin (x + h)) ^2)),K38((f . x))) is V11() V12() ext-real set
(sin x) ^2 is V11() V12() ext-real Element of REAL
K37((sin x),(sin x)) is V11() V12() ext-real set
1 / ((sin x) ^2) is V11() V12() ext-real Element of REAL
K39(((sin x) ^2)) is V11() V12() ext-real set
K37(1,K39(((sin x) ^2))) is V11() V12() ext-real set
(1 / ((sin (x + h)) ^2)) - (1 / ((sin x) ^2)) is V11() V12() ext-real Element of REAL
K38((1 / ((sin x) ^2))) is V11() V12() ext-real set
K36((1 / ((sin (x + h)) ^2)),K38((1 / ((sin x) ^2)))) is V11() V12() ext-real set
1 * ((sin x) ^2) is V11() V12() ext-real Element of REAL
1 * ((sin (x + h)) ^2) is V11() V12() ext-real Element of REAL
(1 * ((sin x) ^2)) - (1 * ((sin (x + h)) ^2)) is V11() V12() ext-real Element of REAL
K38((1 * ((sin (x + h)) ^2))) is V11() V12() ext-real set
K36((1 * ((sin x) ^2)),K38((1 * ((sin (x + h)) ^2)))) is V11() V12() ext-real set
((sin (x + h)) ^2) * ((sin x) ^2) is V11() V12() ext-real Element of REAL
((1 * ((sin x) ^2)) - (1 * ((sin (x + h)) ^2))) / (((sin (x + h)) ^2) * ((sin x) ^2)) is V11() V12() ext-real Element of REAL
K39((((sin (x + h)) ^2) * ((sin x) ^2))) is V11() V12() ext-real set
K37(((1 * ((sin x) ^2)) - (1 * ((sin (x + h)) ^2))),K39((((sin (x + h)) ^2) * ((sin x) ^2)))) is V11() V12() ext-real set
((sin x) ^2) - ((sin (x + h)) ^2) is V11() V12() ext-real Element of REAL
K38(((sin (x + h)) ^2)) is V11() V12() ext-real set
K36(((sin x) ^2),K38(((sin (x + h)) ^2))) is V11() V12() ext-real set
(sin (x + h)) * (sin x) is V11() V12() ext-real Element of REAL
((sin (x + h)) * (sin x)) ^2 is V11() V12() ext-real Element of REAL
K37(((sin (x + h)) * (sin x)),((sin (x + h)) * (sin x))) is V11() V12() ext-real set
(((sin x) ^2) - ((sin (x + h)) ^2)) / (((sin (x + h)) * (sin x)) ^2) is V11() V12() ext-real Element of REAL
K39((((sin (x + h)) * (sin x)) ^2)) is V11() V12() ext-real set
K37((((sin x) ^2) - ((sin (x + h)) ^2)),K39((((sin (x + h)) * (sin x)) ^2))) is V11() V12() ext-real set
(x + h) + x is V11() V12() ext-real Element of REAL
cos ((x + h) + x) is V11() V12() ext-real Element of REAL
cos . ((x + h) + x) is V11() V12() ext-real Element of REAL
(x + h) - x is V11() V12() ext-real Element of REAL
K38(x) is V11() V12() ext-real set
K36((x + h),K38(x)) is V11() V12() ext-real set
cos ((x + h) - x) is V11() V12() ext-real Element of REAL
cos . ((x + h) - x) is V11() V12() ext-real Element of REAL
(cos ((x + h) + x)) - (cos ((x + h) - x)) is V11() V12() ext-real Element of REAL
K38((cos ((x + h) - x))) is V11() V12() ext-real set
K36((cos ((x + h) + x)),K38((cos ((x + h) - x)))) is V11() V12() ext-real set
(1 / 2) * ((cos ((x + h) + x)) - (cos ((x + h) - x))) is V11() V12() ext-real Element of REAL
- ((1 / 2) * ((cos ((x + h) + x)) - (cos ((x + h) - x)))) is V11() V12() ext-real Element of REAL
(- ((1 / 2) * ((cos ((x + h) + x)) - (cos ((x + h) - x))))) ^2 is V11() V12() ext-real Element of REAL
K37((- ((1 / 2) * ((cos ((x + h) + x)) - (cos ((x + h) - x))))),(- ((1 / 2) * ((cos ((x + h) + x)) - (cos ((x + h) - x)))))) is V11() V12() ext-real set
(((sin x) ^2) - ((sin (x + h)) ^2)) / ((- ((1 / 2) * ((cos ((x + h) + x)) - (cos ((x + h) - x))))) ^2) is V11() V12() ext-real Element of REAL
K39(((- ((1 / 2) * ((cos ((x + h) + x)) - (cos ((x + h) - x))))) ^2)) is V11() V12() ext-real set
K37((((sin x) ^2) - ((sin (x + h)) ^2)),K39(((- ((1 / 2) * ((cos ((x + h) + x)) - (cos ((x + h) - x))))) ^2))) is V11() V12() ext-real set
1 / 4 is V1() V11() V12() ext-real Element of REAL
(1 / 4) * (((cos ((2 * x) + h)) - (cos h)) ^2) is V11() V12() ext-real Element of REAL
(((sin x) ^2) - ((sin (x + h)) ^2)) / ((1 / 4) * (((cos ((2 * x) + h)) - (cos h)) ^2)) is V11() V12() ext-real Element of REAL
K39(((1 / 4) * (((cos ((2 * x) + h)) - (cos h)) ^2))) is V11() V12() ext-real set
K37((((sin x) ^2) - ((sin (x + h)) ^2)),K39(((1 / 4) * (((cos ((2 * x) + h)) - (cos h)) ^2)))) is V11() V12() ext-real set
(((sin x) ^2) - ((sin (x + h)) ^2)) / (1 / 4) is V11() V12() ext-real Element of REAL
K39((1 / 4)) is V1() V11() V12() ext-real set
K37((((sin x) ^2) - ((sin (x + h)) ^2)),K39((1 / 4))) is V11() V12() ext-real set
((((sin x) ^2) - ((sin (x + h)) ^2)) / (1 / 4)) / (((cos ((2 * x) + h)) - (cos h)) ^2) is V11() V12() ext-real Element of REAL
K37(((((sin x) ^2) - ((sin (x + h)) ^2)) / (1 / 4)),K39((((cos ((2 * x) + h)) - (cos h)) ^2))) is V11() V12() ext-real set
(sin x) - (sin (x + h)) is V11() V12() ext-real Element of REAL
K38((sin (x + h))) is V11() V12() ext-real set
K36((sin x),K38((sin (x + h)))) is V11() V12() ext-real set
(sin x) + (sin (x + h)) is V11() V12() ext-real Element of REAL
((sin x) - (sin (x + h))) * ((sin x) + (sin (x + h))) is V11() V12() ext-real Element of REAL
(((sin x) - (sin (x + h))) * ((sin x) + (sin (x + h)))) / (((cos ((2 * x) + h)) - (cos h)) ^2) is V11() V12() ext-real Element of REAL
K37((((sin x) - (sin (x + h))) * ((sin x) + (sin (x + h)))),K39((((cos ((2 * x) + h)) - (cos h)) ^2))) is V11() V12() ext-real set
4 * ((((sin x) - (sin (x + h))) * ((sin x) + (sin (x + h)))) / (((cos ((2 * x) + h)) - (cos h)) ^2)) is V11() V12() ext-real Element of REAL
x + (x + h) is V11() V12() ext-real Element of REAL
(x + (x + h)) / 2 is V11() V12() ext-real Element of REAL
K37((x + (x + h)),K39(2)) is V11() V12() ext-real set
cos ((x + (x + h)) / 2) is V11() V12() ext-real Element of REAL
cos . ((x + (x + h)) / 2) is V11() V12() ext-real Element of REAL
x - (x + h) is V11() V12() ext-real Element of REAL
K38((x + h)) is V11() V12() ext-real set
K36(x,K38((x + h))) is V11() V12() ext-real set
(x - (x + h)) / 2 is V11() V12() ext-real Element of REAL
K37((x - (x + h)),K39(2)) is V11() V12() ext-real set
sin ((x - (x + h)) / 2) is V11() V12() ext-real Element of REAL
sin . ((x - (x + h)) / 2) is V11() V12() ext-real Element of REAL
(cos ((x + (x + h)) / 2)) * (sin ((x - (x + h)) / 2)) is V11() V12() ext-real Element of REAL
2 * ((cos ((x + (x + h)) / 2)) * (sin ((x - (x + h)) / 2))) is V11() V12() ext-real Element of REAL
(2 * ((cos ((x + (x + h)) / 2)) * (sin ((x - (x + h)) / 2)))) * ((sin x) + (sin (x + h))) is V11() V12() ext-real Element of REAL
((2 * ((cos ((x + (x + h)) / 2)) * (sin ((x - (x + h)) / 2)))) * ((sin x) + (sin (x + h)))) / (((cos ((2 * x) + h)) - (cos h)) ^2) is V11() V12() ext-real Element of REAL
K37(((2 * ((cos ((x + (x + h)) / 2)) * (sin ((x - (x + h)) / 2)))) * ((sin x) + (sin (x + h)))),K39((((cos ((2 * x) + h)) - (cos h)) ^2))) is V11() V12() ext-real set
4 * (((2 * ((cos ((x + (x + h)) / 2)) * (sin ((x - (x + h)) / 2)))) * ((sin x) + (sin (x + h)))) / (((cos ((2 * x) + h)) - (cos h)) ^2)) is V11() V12() ext-real Element of REAL
(cos (((2 * x) + h) / 2)) * (sin ((- h) / 2)) is V11() V12() ext-real Element of REAL
2 * ((cos (((2 * x) + h) / 2)) * (sin ((- h) / 2))) is V11() V12() ext-real Element of REAL
(cos ((- h) / 2)) * (sin (((2 * x) + h) / 2)) is V11() V12() ext-real Element of REAL
2 * ((cos ((- h) / 2)) * (sin (((2 * x) + h) / 2))) is V11() V12() ext-real Element of REAL
(2 * ((cos (((2 * x) + h) / 2)) * (sin ((- h) / 2)))) * (2 * ((cos ((- h) / 2)) * (sin (((2 * x) + h) / 2)))) is V11() V12() ext-real Element of REAL
((2 * ((cos (((2 * x) + h) / 2)) * (sin ((- h) / 2)))) * (2 * ((cos ((- h) / 2)) * (sin (((2 * x) + h) / 2))))) / (((cos ((2 * x) + h)) - (cos h)) ^2) is V11() V12() ext-real Element of REAL
K37(((2 * ((cos (((2 * x) + h) / 2)) * (sin ((- h) / 2)))) * (2 * ((cos ((- h) / 2)) * (sin (((2 * x) + h) / 2))))),K39((((cos ((2 * x) + h)) - (cos h)) ^2))) is V11() V12() ext-real set
4 * (((2 * ((cos (((2 * x) + h) / 2)) * (sin ((- h) / 2)))) * (2 * ((cos ((- h) / 2)) * (sin (((2 * x) + h) / 2))))) / (((cos ((2 * x) + h)) - (cos h)) ^2)) is V11() V12() ext-real Element of REAL
x is V11() V12() ext-real Element of REAL
sin x is V11() V12() ext-real Element of REAL
sin . x is V11() V12() ext-real Element of REAL
2 * x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
x - h is V11() V12() ext-real Element of REAL
K38(h) is V11() V12() ext-real set
K36(x,K38(h)) is V11() V12() ext-real set
sin (x - h) is V11() V12() ext-real Element of REAL
sin . (x - h) is V11() V12() ext-real Element of REAL
(2 * x) - h is V11() V12() ext-real Element of REAL
K36((2 * x),K38(h)) is V11() V12() ext-real set
((2 * x) - h) / 2 is V11() V12() ext-real Element of REAL
K37(((2 * x) - h),K39(2)) is V11() V12() ext-real set
cos (((2 * x) - h) / 2) is V11() V12() ext-real Element of REAL
cos . (((2 * x) - h) / 2) is V11() V12() ext-real Element of REAL
16 * (cos (((2 * x) - h) / 2)) is V11() V12() ext-real Element of REAL
- h is V11() V12() ext-real Element of REAL
(- h) / 2 is V11() V12() ext-real Element of REAL
K37((- h),K39(2)) is V11() V12() ext-real set
sin ((- h) / 2) is V11() V12() ext-real Element of REAL
sin . ((- h) / 2) is V11() V12() ext-real Element of REAL
(16 * (cos (((2 * x) - h) / 2))) * (sin ((- h) / 2)) is V11() V12() ext-real Element of REAL
cos ((- h) / 2) is V11() V12() ext-real Element of REAL
cos . ((- h) / 2) is V11() V12() ext-real Element of REAL
((16 * (cos (((2 * x) - h) / 2))) * (sin ((- h) / 2))) * (cos ((- h) / 2)) is V11() V12() ext-real Element of REAL
sin (((2 * x) - h) / 2) is V11() V12() ext-real Element of REAL
sin . (((2 * x) - h) / 2) is V11() V12() ext-real Element of REAL
(((16 * (cos (((2 * x) - h) / 2))) * (sin ((- h) / 2))) * (cos ((- h) / 2))) * (sin (((2 * x) - h) / 2)) is V11() V12() ext-real Element of REAL
cos ((2 * x) - h) is V11() V12() ext-real Element of REAL
cos . ((2 * x) - h) is V11() V12() ext-real Element of REAL
cos h is V11() V12() ext-real Element of REAL
cos . h is V11() V12() ext-real Element of REAL
(cos ((2 * x) - h)) - (cos h) is V11() V12() ext-real Element of REAL
K38((cos h)) is V11() V12() ext-real set
K36((cos ((2 * x) - h)),K38((cos h))) is V11() V12() ext-real set
((cos ((2 * x) - h)) - (cos h)) ^2 is V11() V12() ext-real Element of REAL
K37(((cos ((2 * x) - h)) - (cos h)),((cos ((2 * x) - h)) - (cos h))) is V11() V12() ext-real set
((((16 * (cos (((2 * x) - h) / 2))) * (sin ((- h) / 2))) * (cos ((- h) / 2))) * (sin (((2 * x) - h) / 2))) / (((cos ((2 * x) - h)) - (cos h)) ^2) is V11() V12() ext-real Element of REAL
K39((((cos ((2 * x) - h)) - (cos h)) ^2)) is V11() V12() ext-real set
K37(((((16 * (cos (((2 * x) - h) / 2))) * (sin ((- h) / 2))) * (cos ((- h) / 2))) * (sin (((2 * x) - h) / 2))),K39((((cos ((2 * x) - h)) - (cos h)) ^2))) is V11() V12() ext-real set
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
bD (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (f,K38(h)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
f - (Shift (f,K38(h))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(bD (f,h)) . x is V11() V12() ext-real Element of REAL
f . x is V11() V12() ext-real Element of REAL
f . (x - h) is V11() V12() ext-real Element of REAL
(f . x) - (f . (x - h)) is V11() V12() ext-real Element of REAL
K38((f . (x - h))) is V11() V12() ext-real set
K36((f . x),K38((f . (x - h)))) is V11() V12() ext-real set
(sin x) ^2 is V11() V12() ext-real Element of REAL
K37((sin x),(sin x)) is V11() V12() ext-real set
1 / ((sin x) ^2) is V11() V12() ext-real Element of REAL
K39(((sin x) ^2)) is V11() V12() ext-real set
K37(1,K39(((sin x) ^2))) is V11() V12() ext-real set
(1 / ((sin x) ^2)) - (f . (x - h)) is V11() V12() ext-real Element of REAL
K36((1 / ((sin x) ^2)),K38((f . (x - h)))) is V11() V12() ext-real set
(sin (x - h)) ^2 is V11() V12() ext-real Element of REAL
K37((sin (x - h)),(sin (x - h))) is V11() V12() ext-real set
1 / ((sin (x - h)) ^2) is V11() V12() ext-real Element of REAL
K39(((sin (x - h)) ^2)) is V11() V12() ext-real set
K37(1,K39(((sin (x - h)) ^2))) is V11() V12() ext-real set
(1 / ((sin x) ^2)) - (1 / ((sin (x - h)) ^2)) is V11() V12() ext-real Element of REAL
K38((1 / ((sin (x - h)) ^2))) is V11() V12() ext-real set
K36((1 / ((sin x) ^2)),K38((1 / ((sin (x - h)) ^2)))) is V11() V12() ext-real set
1 * ((sin (x - h)) ^2) is V11() V12() ext-real Element of REAL
1 * ((sin x) ^2) is V11() V12() ext-real Element of REAL
(1 * ((sin (x - h)) ^2)) - (1 * ((sin x) ^2)) is V11() V12() ext-real Element of REAL
K38((1 * ((sin x) ^2))) is V11() V12() ext-real set
K36((1 * ((sin (x - h)) ^2)),K38((1 * ((sin x) ^2)))) is V11() V12() ext-real set
((sin x) ^2) * ((sin (x - h)) ^2) is V11() V12() ext-real Element of REAL
((1 * ((sin (x - h)) ^2)) - (1 * ((sin x) ^2))) / (((sin x) ^2) * ((sin (x - h)) ^2)) is V11() V12() ext-real Element of REAL
K39((((sin x) ^2) * ((sin (x - h)) ^2))) is V11() V12() ext-real set
K37(((1 * ((sin (x - h)) ^2)) - (1 * ((sin x) ^2))),K39((((sin x) ^2) * ((sin (x - h)) ^2)))) is V11() V12() ext-real set
((sin (x - h)) ^2) - ((sin x) ^2) is V11() V12() ext-real Element of REAL
K38(((sin x) ^2)) is V11() V12() ext-real set
K36(((sin (x - h)) ^2),K38(((sin x) ^2))) is V11() V12() ext-real set
(sin x) * (sin (x - h)) is V11() V12() ext-real Element of REAL
((sin x) * (sin (x - h))) ^2 is V11() V12() ext-real Element of REAL
K37(((sin x) * (sin (x - h))),((sin x) * (sin (x - h)))) is V11() V12() ext-real set
(((sin (x - h)) ^2) - ((sin x) ^2)) / (((sin x) * (sin (x - h))) ^2) is V11() V12() ext-real Element of REAL
K39((((sin x) * (sin (x - h))) ^2)) is V11() V12() ext-real set
K37((((sin (x - h)) ^2) - ((sin x) ^2)),K39((((sin x) * (sin (x - h))) ^2))) is V11() V12() ext-real set
x + (x - h) is V11() V12() ext-real Element of REAL
cos (x + (x - h)) is V11() V12() ext-real Element of REAL
cos . (x + (x - h)) is V11() V12() ext-real Element of REAL
x - (x - h) is V11() V12() ext-real Element of REAL
K38((x - h)) is V11() V12() ext-real set
K36(x,K38((x - h))) is V11() V12() ext-real set
cos (x - (x - h)) is V11() V12() ext-real Element of REAL
cos . (x - (x - h)) is V11() V12() ext-real Element of REAL
(cos (x + (x - h))) - (cos (x - (x - h))) is V11() V12() ext-real Element of REAL
K38((cos (x - (x - h)))) is V11() V12() ext-real set
K36((cos (x + (x - h))),K38((cos (x - (x - h))))) is V11() V12() ext-real set
(1 / 2) * ((cos (x + (x - h))) - (cos (x - (x - h)))) is V11() V12() ext-real Element of REAL
- ((1 / 2) * ((cos (x + (x - h))) - (cos (x - (x - h))))) is V11() V12() ext-real Element of REAL
(- ((1 / 2) * ((cos (x + (x - h))) - (cos (x - (x - h)))))) ^2 is V11() V12() ext-real Element of REAL
K37((- ((1 / 2) * ((cos (x + (x - h))) - (cos (x - (x - h)))))),(- ((1 / 2) * ((cos (x + (x - h))) - (cos (x - (x - h))))))) is V11() V12() ext-real set
(((sin (x - h)) ^2) - ((sin x) ^2)) / ((- ((1 / 2) * ((cos (x + (x - h))) - (cos (x - (x - h)))))) ^2) is V11() V12() ext-real Element of REAL
K39(((- ((1 / 2) * ((cos (x + (x - h))) - (cos (x - (x - h)))))) ^2)) is V11() V12() ext-real set
K37((((sin (x - h)) ^2) - ((sin x) ^2)),K39(((- ((1 / 2) * ((cos (x + (x - h))) - (cos (x - (x - h)))))) ^2))) is V11() V12() ext-real set
1 / 4 is V1() V11() V12() ext-real Element of REAL
(1 / 4) * (((cos ((2 * x) - h)) - (cos h)) ^2) is V11() V12() ext-real Element of REAL
(((sin (x - h)) ^2) - ((sin x) ^2)) / ((1 / 4) * (((cos ((2 * x) - h)) - (cos h)) ^2)) is V11() V12() ext-real Element of REAL
K39(((1 / 4) * (((cos ((2 * x) - h)) - (cos h)) ^2))) is V11() V12() ext-real set
K37((((sin (x - h)) ^2) - ((sin x) ^2)),K39(((1 / 4) * (((cos ((2 * x) - h)) - (cos h)) ^2)))) is V11() V12() ext-real set
(((sin (x - h)) ^2) - ((sin x) ^2)) / (1 / 4) is V11() V12() ext-real Element of REAL
K39((1 / 4)) is V1() V11() V12() ext-real set
K37((((sin (x - h)) ^2) - ((sin x) ^2)),K39((1 / 4))) is V11() V12() ext-real set
((((sin (x - h)) ^2) - ((sin x) ^2)) / (1 / 4)) / (((cos ((2 * x) - h)) - (cos h)) ^2) is V11() V12() ext-real Element of REAL
K37(((((sin (x - h)) ^2) - ((sin x) ^2)) / (1 / 4)),K39((((cos ((2 * x) - h)) - (cos h)) ^2))) is V11() V12() ext-real set
(sin (x - h)) - (sin x) is V11() V12() ext-real Element of REAL
K38((sin x)) is V11() V12() ext-real set
K36((sin (x - h)),K38((sin x))) is V11() V12() ext-real set
(sin (x - h)) + (sin x) is V11() V12() ext-real Element of REAL
((sin (x - h)) - (sin x)) * ((sin (x - h)) + (sin x)) is V11() V12() ext-real Element of REAL
(((sin (x - h)) - (sin x)) * ((sin (x - h)) + (sin x))) / (((cos ((2 * x) - h)) - (cos h)) ^2) is V11() V12() ext-real Element of REAL
K37((((sin (x - h)) - (sin x)) * ((sin (x - h)) + (sin x))),K39((((cos ((2 * x) - h)) - (cos h)) ^2))) is V11() V12() ext-real set
4 * ((((sin (x - h)) - (sin x)) * ((sin (x - h)) + (sin x))) / (((cos ((2 * x) - h)) - (cos h)) ^2)) is V11() V12() ext-real Element of REAL
(x - h) + x is V11() V12() ext-real Element of REAL
((x - h) + x) / 2 is V11() V12() ext-real Element of REAL
K37(((x - h) + x),K39(2)) is V11() V12() ext-real set
cos (((x - h) + x) / 2) is V11() V12() ext-real Element of REAL
cos . (((x - h) + x) / 2) is V11() V12() ext-real Element of REAL
(x - h) - x is V11() V12() ext-real Element of REAL
K38(x) is V11() V12() ext-real set
K36((x - h),K38(x)) is V11() V12() ext-real set
((x - h) - x) / 2 is V11() V12() ext-real Element of REAL
K37(((x - h) - x),K39(2)) is V11() V12() ext-real set
sin (((x - h) - x) / 2) is V11() V12() ext-real Element of REAL
sin . (((x - h) - x) / 2) is V11() V12() ext-real Element of REAL
(cos (((x - h) + x) / 2)) * (sin (((x - h) - x) / 2)) is V11() V12() ext-real Element of REAL
2 * ((cos (((x - h) + x) / 2)) * (sin (((x - h) - x) / 2))) is V11() V12() ext-real Element of REAL
(2 * ((cos (((x - h) + x) / 2)) * (sin (((x - h) - x) / 2)))) * ((sin (x - h)) + (sin x)) is V11() V12() ext-real Element of REAL
((2 * ((cos (((x - h) + x) / 2)) * (sin (((x - h) - x) / 2)))) * ((sin (x - h)) + (sin x))) / (((cos ((2 * x) - h)) - (cos h)) ^2) is V11() V12() ext-real Element of REAL
K37(((2 * ((cos (((x - h) + x) / 2)) * (sin (((x - h) - x) / 2)))) * ((sin (x - h)) + (sin x))),K39((((cos ((2 * x) - h)) - (cos h)) ^2))) is V11() V12() ext-real set
4 * (((2 * ((cos (((x - h) + x) / 2)) * (sin (((x - h) - x) / 2)))) * ((sin (x - h)) + (sin x))) / (((cos ((2 * x) - h)) - (cos h)) ^2)) is V11() V12() ext-real Element of REAL
(cos (((2 * x) - h) / 2)) * (sin ((- h) / 2)) is V11() V12() ext-real Element of REAL
2 * ((cos (((2 * x) - h) / 2)) * (sin ((- h) / 2))) is V11() V12() ext-real Element of REAL
(cos ((- h) / 2)) * (sin (((2 * x) - h) / 2)) is V11() V12() ext-real Element of REAL
2 * ((cos ((- h) / 2)) * (sin (((2 * x) - h) / 2))) is V11() V12() ext-real Element of REAL
(2 * ((cos (((2 * x) - h) / 2)) * (sin ((- h) / 2)))) * (2 * ((cos ((- h) / 2)) * (sin (((2 * x) - h) / 2)))) is V11() V12() ext-real Element of REAL
((2 * ((cos (((2 * x) - h) / 2)) * (sin ((- h) / 2)))) * (2 * ((cos ((- h) / 2)) * (sin (((2 * x) - h) / 2))))) / (((cos ((2 * x) - h)) - (cos h)) ^2) is V11() V12() ext-real Element of REAL
K37(((2 * ((cos (((2 * x) - h) / 2)) * (sin ((- h) / 2)))) * (2 * ((cos ((- h) / 2)) * (sin (((2 * x) - h) / 2))))),K39((((cos ((2 * x) - h)) - (cos h)) ^2))) is V11() V12() ext-real set
4 * (((2 * ((cos (((2 * x) - h) / 2)) * (sin ((- h) / 2)))) * (2 * ((cos ((- h) / 2)) * (sin (((2 * x) - h) / 2))))) / (((cos ((2 * x) - h)) - (cos h)) ^2)) is V11() V12() ext-real Element of REAL
x is V11() V12() ext-real Element of REAL
cos x is V11() V12() ext-real Element of REAL
cos . x is V11() V12() ext-real Element of REAL
16 * (cos x) is V11() V12() ext-real Element of REAL
sin x is V11() V12() ext-real Element of REAL
sin . x is V11() V12() ext-real Element of REAL
2 * x is V11() V12() ext-real Element of REAL
cos (2 * x) is V11() V12() ext-real Element of REAL
cos . (2 * x) is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
h / 2 is V11() V12() ext-real Element of REAL
K37(h,K39(2)) is V11() V12() ext-real set
x + (h / 2) is V11() V12() ext-real Element of REAL
sin (x + (h / 2)) is V11() V12() ext-real Element of REAL
sin . (x + (h / 2)) is V11() V12() ext-real Element of REAL
x - (h / 2) is V11() V12() ext-real Element of REAL
K38((h / 2)) is V11() V12() ext-real set
K36(x,K38((h / 2))) is V11() V12() ext-real set
sin (x - (h / 2)) is V11() V12() ext-real Element of REAL
sin . (x - (h / 2)) is V11() V12() ext-real Element of REAL
- h is V11() V12() ext-real Element of REAL
(- h) / 2 is V11() V12() ext-real Element of REAL
K37((- h),K39(2)) is V11() V12() ext-real set
sin ((- h) / 2) is V11() V12() ext-real Element of REAL
sin . ((- h) / 2) is V11() V12() ext-real Element of REAL
(16 * (cos x)) * (sin ((- h) / 2)) is V11() V12() ext-real Element of REAL
cos ((- h) / 2) is V11() V12() ext-real Element of REAL
cos . ((- h) / 2) is V11() V12() ext-real Element of REAL
((16 * (cos x)) * (sin ((- h) / 2))) * (cos ((- h) / 2)) is V11() V12() ext-real Element of REAL
(((16 * (cos x)) * (sin ((- h) / 2))) * (cos ((- h) / 2))) * (sin x) is V11() V12() ext-real Element of REAL
cos h is V11() V12() ext-real Element of REAL
cos . h is V11() V12() ext-real Element of REAL
(cos (2 * x)) - (cos h) is V11() V12() ext-real Element of REAL
K38((cos h)) is V11() V12() ext-real set
K36((cos (2 * x)),K38((cos h))) is V11() V12() ext-real set
((cos (2 * x)) - (cos h)) ^2 is V11() V12() ext-real Element of REAL
K37(((cos (2 * x)) - (cos h)),((cos (2 * x)) - (cos h))) is V11() V12() ext-real set
((((16 * (cos x)) * (sin ((- h) / 2))) * (cos ((- h) / 2))) * (sin x)) / (((cos (2 * x)) - (cos h)) ^2) is V11() V12() ext-real Element of REAL
K39((((cos (2 * x)) - (cos h)) ^2)) is V11() V12() ext-real set
K37(((((16 * (cos x)) * (sin ((- h) / 2))) * (cos ((- h) / 2))) * (sin x)),K39((((cos (2 * x)) - (cos h)) ^2))) is V11() V12() ext-real set
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
cD (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
h / 2 is V11() V12() ext-real Element of REAL
Shift (f,(h / 2)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
- (h / 2) is V11() V12() ext-real Element of REAL
Shift (f,(- (h / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (f,(h / 2))) - (Shift (f,(- (h / 2)))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(cD (f,h)) . x is V11() V12() ext-real Element of REAL
f . (x + (h / 2)) is V11() V12() ext-real Element of REAL
f . (x - (h / 2)) is V11() V12() ext-real Element of REAL
(f . (x + (h / 2))) - (f . (x - (h / 2))) is V11() V12() ext-real Element of REAL
K38((f . (x - (h / 2)))) is V11() V12() ext-real set
K36((f . (x + (h / 2))),K38((f . (x - (h / 2))))) is V11() V12() ext-real set
(sin (x + (h / 2))) ^2 is V11() V12() ext-real Element of REAL
K37((sin (x + (h / 2))),(sin (x + (h / 2)))) is V11() V12() ext-real set
1 / ((sin (x + (h / 2))) ^2) is V11() V12() ext-real Element of REAL
K39(((sin (x + (h / 2))) ^2)) is V11() V12() ext-real set
K37(1,K39(((sin (x + (h / 2))) ^2))) is V11() V12() ext-real set
(1 / ((sin (x + (h / 2))) ^2)) - (f . (x - (h / 2))) is V11() V12() ext-real Element of REAL
K36((1 / ((sin (x + (h / 2))) ^2)),K38((f . (x - (h / 2))))) is V11() V12() ext-real set
(sin (x - (h / 2))) ^2 is V11() V12() ext-real Element of REAL
K37((sin (x - (h / 2))),(sin (x - (h / 2)))) is V11() V12() ext-real set
1 / ((sin (x - (h / 2))) ^2) is V11() V12() ext-real Element of REAL
K39(((sin (x - (h / 2))) ^2)) is V11() V12() ext-real set
K37(1,K39(((sin (x - (h / 2))) ^2))) is V11() V12() ext-real set
(1 / ((sin (x + (h / 2))) ^2)) - (1 / ((sin (x - (h / 2))) ^2)) is V11() V12() ext-real Element of REAL
K38((1 / ((sin (x - (h / 2))) ^2))) is V11() V12() ext-real set
K36((1 / ((sin (x + (h / 2))) ^2)),K38((1 / ((sin (x - (h / 2))) ^2)))) is V11() V12() ext-real set
1 * ((sin (x - (h / 2))) ^2) is V11() V12() ext-real Element of REAL
1 * ((sin (x + (h / 2))) ^2) is V11() V12() ext-real Element of REAL
(1 * ((sin (x - (h / 2))) ^2)) - (1 * ((sin (x + (h / 2))) ^2)) is V11() V12() ext-real Element of REAL
K38((1 * ((sin (x + (h / 2))) ^2))) is V11() V12() ext-real set
K36((1 * ((sin (x - (h / 2))) ^2)),K38((1 * ((sin (x + (h / 2))) ^2)))) is V11() V12() ext-real set
((sin (x + (h / 2))) ^2) * ((sin (x - (h / 2))) ^2) is V11() V12() ext-real Element of REAL
((1 * ((sin (x - (h / 2))) ^2)) - (1 * ((sin (x + (h / 2))) ^2))) / (((sin (x + (h / 2))) ^2) * ((sin (x - (h / 2))) ^2)) is V11() V12() ext-real Element of REAL
K39((((sin (x + (h / 2))) ^2) * ((sin (x - (h / 2))) ^2))) is V11() V12() ext-real set
K37(((1 * ((sin (x - (h / 2))) ^2)) - (1 * ((sin (x + (h / 2))) ^2))),K39((((sin (x + (h / 2))) ^2) * ((sin (x - (h / 2))) ^2)))) is V11() V12() ext-real set
((sin (x - (h / 2))) ^2) - ((sin (x + (h / 2))) ^2) is V11() V12() ext-real Element of REAL
K38(((sin (x + (h / 2))) ^2)) is V11() V12() ext-real set
K36(((sin (x - (h / 2))) ^2),K38(((sin (x + (h / 2))) ^2))) is V11() V12() ext-real set
(sin (x + (h / 2))) * (sin (x - (h / 2))) is V11() V12() ext-real Element of REAL
((sin (x + (h / 2))) * (sin (x - (h / 2)))) ^2 is V11() V12() ext-real Element of REAL
K37(((sin (x + (h / 2))) * (sin (x - (h / 2)))),((sin (x + (h / 2))) * (sin (x - (h / 2))))) is V11() V12() ext-real set
(((sin (x - (h / 2))) ^2) - ((sin (x + (h / 2))) ^2)) / (((sin (x + (h / 2))) * (sin (x - (h / 2)))) ^2) is V11() V12() ext-real Element of REAL
K39((((sin (x + (h / 2))) * (sin (x - (h / 2)))) ^2)) is V11() V12() ext-real set
K37((((sin (x - (h / 2))) ^2) - ((sin (x + (h / 2))) ^2)),K39((((sin (x + (h / 2))) * (sin (x - (h / 2)))) ^2))) is V11() V12() ext-real set
(x + (h / 2)) + (x - (h / 2)) is V11() V12() ext-real Element of REAL
cos ((x + (h / 2)) + (x - (h / 2))) is V11() V12() ext-real Element of REAL
cos . ((x + (h / 2)) + (x - (h / 2))) is V11() V12() ext-real Element of REAL
(x + (h / 2)) - (x - (h / 2)) is V11() V12() ext-real Element of REAL
K38((x - (h / 2))) is V11() V12() ext-real set
K36((x + (h / 2)),K38((x - (h / 2)))) is V11() V12() ext-real set
cos ((x + (h / 2)) - (x - (h / 2))) is V11() V12() ext-real Element of REAL
cos . ((x + (h / 2)) - (x - (h / 2))) is V11() V12() ext-real Element of REAL
(cos ((x + (h / 2)) + (x - (h / 2)))) - (cos ((x + (h / 2)) - (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K38((cos ((x + (h / 2)) - (x - (h / 2))))) is V11() V12() ext-real set
K36((cos ((x + (h / 2)) + (x - (h / 2)))),K38((cos ((x + (h / 2)) - (x - (h / 2)))))) is V11() V12() ext-real set
(1 / 2) * ((cos ((x + (h / 2)) + (x - (h / 2)))) - (cos ((x + (h / 2)) - (x - (h / 2))))) is V11() V12() ext-real Element of REAL
- ((1 / 2) * ((cos ((x + (h / 2)) + (x - (h / 2)))) - (cos ((x + (h / 2)) - (x - (h / 2)))))) is V11() V12() ext-real Element of REAL
(- ((1 / 2) * ((cos ((x + (h / 2)) + (x - (h / 2)))) - (cos ((x + (h / 2)) - (x - (h / 2))))))) ^2 is V11() V12() ext-real Element of REAL
K37((- ((1 / 2) * ((cos ((x + (h / 2)) + (x - (h / 2)))) - (cos ((x + (h / 2)) - (x - (h / 2))))))),(- ((1 / 2) * ((cos ((x + (h / 2)) + (x - (h / 2)))) - (cos ((x + (h / 2)) - (x - (h / 2)))))))) is V11() V12() ext-real set
(((sin (x - (h / 2))) ^2) - ((sin (x + (h / 2))) ^2)) / ((- ((1 / 2) * ((cos ((x + (h / 2)) + (x - (h / 2)))) - (cos ((x + (h / 2)) - (x - (h / 2))))))) ^2) is V11() V12() ext-real Element of REAL
K39(((- ((1 / 2) * ((cos ((x + (h / 2)) + (x - (h / 2)))) - (cos ((x + (h / 2)) - (x - (h / 2))))))) ^2)) is V11() V12() ext-real set
K37((((sin (x - (h / 2))) ^2) - ((sin (x + (h / 2))) ^2)),K39(((- ((1 / 2) * ((cos ((x + (h / 2)) + (x - (h / 2)))) - (cos ((x + (h / 2)) - (x - (h / 2))))))) ^2))) is V11() V12() ext-real set
1 / 4 is V1() V11() V12() ext-real Element of REAL
(1 / 4) * (((cos (2 * x)) - (cos h)) ^2) is V11() V12() ext-real Element of REAL
(((sin (x - (h / 2))) ^2) - ((sin (x + (h / 2))) ^2)) / ((1 / 4) * (((cos (2 * x)) - (cos h)) ^2)) is V11() V12() ext-real Element of REAL
K39(((1 / 4) * (((cos (2 * x)) - (cos h)) ^2))) is V11() V12() ext-real set
K37((((sin (x - (h / 2))) ^2) - ((sin (x + (h / 2))) ^2)),K39(((1 / 4) * (((cos (2 * x)) - (cos h)) ^2)))) is V11() V12() ext-real set
(((sin (x - (h / 2))) ^2) - ((sin (x + (h / 2))) ^2)) / (1 / 4) is V11() V12() ext-real Element of REAL
K39((1 / 4)) is V1() V11() V12() ext-real set
K37((((sin (x - (h / 2))) ^2) - ((sin (x + (h / 2))) ^2)),K39((1 / 4))) is V11() V12() ext-real set
((((sin (x - (h / 2))) ^2) - ((sin (x + (h / 2))) ^2)) / (1 / 4)) / (((cos (2 * x)) - (cos h)) ^2) is V11() V12() ext-real Element of REAL
K37(((((sin (x - (h / 2))) ^2) - ((sin (x + (h / 2))) ^2)) / (1 / 4)),K39((((cos (2 * x)) - (cos h)) ^2))) is V11() V12() ext-real set
(sin (x - (h / 2))) - (sin (x + (h / 2))) is V11() V12() ext-real Element of REAL
K38((sin (x + (h / 2)))) is V11() V12() ext-real set
K36((sin (x - (h / 2))),K38((sin (x + (h / 2))))) is V11() V12() ext-real set
(sin (x - (h / 2))) + (sin (x + (h / 2))) is V11() V12() ext-real Element of REAL
((sin (x - (h / 2))) - (sin (x + (h / 2)))) * ((sin (x - (h / 2))) + (sin (x + (h / 2)))) is V11() V12() ext-real Element of REAL
(((sin (x - (h / 2))) - (sin (x + (h / 2)))) * ((sin (x - (h / 2))) + (sin (x + (h / 2))))) / (((cos (2 * x)) - (cos h)) ^2) is V11() V12() ext-real Element of REAL
K37((((sin (x - (h / 2))) - (sin (x + (h / 2)))) * ((sin (x - (h / 2))) + (sin (x + (h / 2))))),K39((((cos (2 * x)) - (cos h)) ^2))) is V11() V12() ext-real set
4 * ((((sin (x - (h / 2))) - (sin (x + (h / 2)))) * ((sin (x - (h / 2))) + (sin (x + (h / 2))))) / (((cos (2 * x)) - (cos h)) ^2)) is V11() V12() ext-real Element of REAL
(x - (h / 2)) + (x + (h / 2)) is V11() V12() ext-real Element of REAL
((x - (h / 2)) + (x + (h / 2))) / 2 is V11() V12() ext-real Element of REAL
K37(((x - (h / 2)) + (x + (h / 2))),K39(2)) is V11() V12() ext-real set
cos (((x - (h / 2)) + (x + (h / 2))) / 2) is V11() V12() ext-real Element of REAL
cos . (((x - (h / 2)) + (x + (h / 2))) / 2) is V11() V12() ext-real Element of REAL
(x - (h / 2)) - (x + (h / 2)) is V11() V12() ext-real Element of REAL
K38((x + (h / 2))) is V11() V12() ext-real set
K36((x - (h / 2)),K38((x + (h / 2)))) is V11() V12() ext-real set
((x - (h / 2)) - (x + (h / 2))) / 2 is V11() V12() ext-real Element of REAL
K37(((x - (h / 2)) - (x + (h / 2))),K39(2)) is V11() V12() ext-real set
sin (((x - (h / 2)) - (x + (h / 2))) / 2) is V11() V12() ext-real Element of REAL
sin . (((x - (h / 2)) - (x + (h / 2))) / 2) is V11() V12() ext-real Element of REAL
(cos (((x - (h / 2)) + (x + (h / 2))) / 2)) * (sin (((x - (h / 2)) - (x + (h / 2))) / 2)) is V11() V12() ext-real Element of REAL
2 * ((cos (((x - (h / 2)) + (x + (h / 2))) / 2)) * (sin (((x - (h / 2)) - (x + (h / 2))) / 2))) is V11() V12() ext-real Element of REAL
(2 * ((cos (((x - (h / 2)) + (x + (h / 2))) / 2)) * (sin (((x - (h / 2)) - (x + (h / 2))) / 2)))) * ((sin (x - (h / 2))) + (sin (x + (h / 2)))) is V11() V12() ext-real Element of REAL
((2 * ((cos (((x - (h / 2)) + (x + (h / 2))) / 2)) * (sin (((x - (h / 2)) - (x + (h / 2))) / 2)))) * ((sin (x - (h / 2))) + (sin (x + (h / 2))))) / (((cos (2 * x)) - (cos h)) ^2) is V11() V12() ext-real Element of REAL
K37(((2 * ((cos (((x - (h / 2)) + (x + (h / 2))) / 2)) * (sin (((x - (h / 2)) - (x + (h / 2))) / 2)))) * ((sin (x - (h / 2))) + (sin (x + (h / 2))))),K39((((cos (2 * x)) - (cos h)) ^2))) is V11() V12() ext-real set
4 * (((2 * ((cos (((x - (h / 2)) + (x + (h / 2))) / 2)) * (sin (((x - (h / 2)) - (x + (h / 2))) / 2)))) * ((sin (x - (h / 2))) + (sin (x + (h / 2))))) / (((cos (2 * x)) - (cos h)) ^2)) is V11() V12() ext-real Element of REAL
(2 * x) / 2 is V11() V12() ext-real Element of REAL
K37((2 * x),K39(2)) is V11() V12() ext-real set
cos ((2 * x) / 2) is V11() V12() ext-real Element of REAL
cos . ((2 * x) / 2) is V11() V12() ext-real Element of REAL
(cos ((2 * x) / 2)) * (sin ((- h) / 2)) is V11() V12() ext-real Element of REAL
2 * ((cos ((2 * x) / 2)) * (sin ((- h) / 2))) is V11() V12() ext-real Element of REAL
sin ((2 * x) / 2) is V11() V12() ext-real Element of REAL
sin . ((2 * x) / 2) is V11() V12() ext-real Element of REAL
(cos ((- h) / 2)) * (sin ((2 * x) / 2)) is V11() V12() ext-real Element of REAL
2 * ((cos ((- h) / 2)) * (sin ((2 * x) / 2))) is V11() V12() ext-real Element of REAL
(2 * ((cos ((2 * x) / 2)) * (sin ((- h) / 2)))) * (2 * ((cos ((- h) / 2)) * (sin ((2 * x) / 2)))) is V11() V12() ext-real Element of REAL
((2 * ((cos ((2 * x) / 2)) * (sin ((- h) / 2)))) * (2 * ((cos ((- h) / 2)) * (sin ((2 * x) / 2))))) / (((cos (2 * x)) - (cos h)) ^2) is V11() V12() ext-real Element of REAL
K37(((2 * ((cos ((2 * x) / 2)) * (sin ((- h) / 2)))) * (2 * ((cos ((- h) / 2)) * (sin ((2 * x) / 2))))),K39((((cos (2 * x)) - (cos h)) ^2))) is V11() V12() ext-real set
4 * (((2 * ((cos ((2 * x) / 2)) * (sin ((- h) / 2)))) * (2 * ((cos ((- h) / 2)) * (sin ((2 * x) / 2))))) / (((cos (2 * x)) - (cos h)) ^2)) is V11() V12() ext-real Element of REAL
- 16 is V1() V11() V12() ext-real Element of REAL
x is V11() V12() ext-real Element of REAL
cos x is V11() V12() ext-real Element of REAL
cos . x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
cos h is V11() V12() ext-real Element of REAL
cos . h is V11() V12() ext-real Element of REAL
h + x is V11() V12() ext-real Element of REAL
(h + x) / 2 is V11() V12() ext-real Element of REAL
K37((h + x),K39(2)) is V11() V12() ext-real set
sin ((h + x) / 2) is V11() V12() ext-real Element of REAL
sin . ((h + x) / 2) is V11() V12() ext-real Element of REAL
(- 16) * (sin ((h + x) / 2)) is V11() V12() ext-real Element of REAL
h - x is V11() V12() ext-real Element of REAL
K38(x) is V11() V12() ext-real set
K36(h,K38(x)) is V11() V12() ext-real set
(h - x) / 2 is V11() V12() ext-real Element of REAL
K37((h - x),K39(2)) is V11() V12() ext-real set
sin ((h - x) / 2) is V11() V12() ext-real Element of REAL
sin . ((h - x) / 2) is V11() V12() ext-real Element of REAL
((- 16) * (sin ((h + x) / 2))) * (sin ((h - x) / 2)) is V11() V12() ext-real Element of REAL
cos ((h + x) / 2) is V11() V12() ext-real Element of REAL
cos . ((h + x) / 2) is V11() V12() ext-real Element of REAL
(((- 16) * (sin ((h + x) / 2))) * (sin ((h - x) / 2))) * (cos ((h + x) / 2)) is V11() V12() ext-real Element of REAL
cos ((h - x) / 2) is V11() V12() ext-real Element of REAL
cos . ((h - x) / 2) is V11() V12() ext-real Element of REAL
((((- 16) * (sin ((h + x) / 2))) * (sin ((h - x) / 2))) * (cos ((h + x) / 2))) * (cos ((h - x) / 2)) is V11() V12() ext-real Element of REAL
x + h is V11() V12() ext-real Element of REAL
cos (x + h) is V11() V12() ext-real Element of REAL
cos . (x + h) is V11() V12() ext-real Element of REAL
x - h is V11() V12() ext-real Element of REAL
K38(h) is V11() V12() ext-real set
K36(x,K38(h)) is V11() V12() ext-real set
cos (x - h) is V11() V12() ext-real Element of REAL
cos . (x - h) is V11() V12() ext-real Element of REAL
(cos (x + h)) + (cos (x - h)) is V11() V12() ext-real Element of REAL
((cos (x + h)) + (cos (x - h))) ^2 is V11() V12() ext-real Element of REAL
K37(((cos (x + h)) + (cos (x - h))),((cos (x + h)) + (cos (x - h)))) is V11() V12() ext-real set
(((((- 16) * (sin ((h + x) / 2))) * (sin ((h - x) / 2))) * (cos ((h + x) / 2))) * (cos ((h - x) / 2))) / (((cos (x + h)) + (cos (x - h))) ^2) is V11() V12() ext-real Element of REAL
K39((((cos (x + h)) + (cos (x - h))) ^2)) is V11() V12() ext-real set
K37((((((- 16) * (sin ((h + x) / 2))) * (sin ((h - x) / 2))) * (cos ((h + x) / 2))) * (cos ((h - x) / 2))),K39((((cos (x + h)) + (cos (x - h))) ^2))) is V11() V12() ext-real set
((((((- 16) * (sin ((h + x) / 2))) * (sin ((h - x) / 2))) * (cos ((h + x) / 2))) * (cos ((h - x) / 2))) / (((cos (x + h)) + (cos (x - h))) ^2)) / (x - h) is V11() V12() ext-real Element of REAL
K39((x - h)) is V11() V12() ext-real set
K37(((((((- 16) * (sin ((h + x) / 2))) * (sin ((h - x) / 2))) * (cos ((h + x) / 2))) * (cos ((h - x) / 2))) / (((cos (x + h)) + (cos (x - h))) ^2)),K39((x - h))) is V11() V12() ext-real set
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
[!f,x,h!] is V11() V12() ext-real Element of REAL
f . x is V11() V12() ext-real Element of REAL
f . h is V11() V12() ext-real Element of REAL
(f . x) - (f . h) is V11() V12() ext-real Element of REAL
K38((f . h)) is V11() V12() ext-real set
K36((f . x),K38((f . h))) is V11() V12() ext-real set
K40(x,h) is V11() V12() ext-real set
((f . x) - (f . h)) / K40(x,h) is V11() V12() ext-real Element of REAL
K39(K40(x,h)) is V11() V12() ext-real set
K37(((f . x) - (f . h)),K39(K40(x,h))) is V11() V12() ext-real set
f . x is V11() V12() ext-real Element of REAL
(cos x) ^2 is V11() V12() ext-real Element of REAL
K37((cos x),(cos x)) is V11() V12() ext-real set
1 / ((cos x) ^2) is V11() V12() ext-real Element of REAL
K39(((cos x) ^2)) is V11() V12() ext-real set
K37(1,K39(((cos x) ^2))) is V11() V12() ext-real set
f . h is V11() V12() ext-real Element of REAL
(cos h) ^2 is V11() V12() ext-real Element of REAL
K37((cos h),(cos h)) is V11() V12() ext-real set
1 / ((cos h) ^2) is V11() V12() ext-real Element of REAL
K39(((cos h) ^2)) is V11() V12() ext-real set
K37(1,K39(((cos h) ^2))) is V11() V12() ext-real set
1 * ((cos h) ^2) is V11() V12() ext-real Element of REAL
1 * ((cos x) ^2) is V11() V12() ext-real Element of REAL
(1 * ((cos h) ^2)) - (1 * ((cos x) ^2)) is V11() V12() ext-real Element of REAL
K38((1 * ((cos x) ^2))) is V11() V12() ext-real set
K36((1 * ((cos h) ^2)),K38((1 * ((cos x) ^2)))) is V11() V12() ext-real set
((cos x) ^2) * ((cos h) ^2) is V11() V12() ext-real Element of REAL
((1 * ((cos h) ^2)) - (1 * ((cos x) ^2))) / (((cos x) ^2) * ((cos h) ^2)) is V11() V12() ext-real Element of REAL
K39((((cos x) ^2) * ((cos h) ^2))) is V11() V12() ext-real set
K37(((1 * ((cos h) ^2)) - (1 * ((cos x) ^2))),K39((((cos x) ^2) * ((cos h) ^2)))) is V11() V12() ext-real set
(((1 * ((cos h) ^2)) - (1 * ((cos x) ^2))) / (((cos x) ^2) * ((cos h) ^2))) / (x - h) is V11() V12() ext-real Element of REAL
K37((((1 * ((cos h) ^2)) - (1 * ((cos x) ^2))) / (((cos x) ^2) * ((cos h) ^2))),K39((x - h))) is V11() V12() ext-real set
((cos h) ^2) - ((cos x) ^2) is V11() V12() ext-real Element of REAL
K38(((cos x) ^2)) is V11() V12() ext-real set
K36(((cos h) ^2),K38(((cos x) ^2))) is V11() V12() ext-real set
(cos x) * (cos h) is V11() V12() ext-real Element of REAL
((cos x) * (cos h)) ^2 is V11() V12() ext-real Element of REAL
K37(((cos x) * (cos h)),((cos x) * (cos h))) is V11() V12() ext-real set
(((cos h) ^2) - ((cos x) ^2)) / (((cos x) * (cos h)) ^2) is V11() V12() ext-real Element of REAL
K39((((cos x) * (cos h)) ^2)) is V11() V12() ext-real set
K37((((cos h) ^2) - ((cos x) ^2)),K39((((cos x) * (cos h)) ^2))) is V11() V12() ext-real set
((((cos h) ^2) - ((cos x) ^2)) / (((cos x) * (cos h)) ^2)) / (x - h) is V11() V12() ext-real Element of REAL
K37(((((cos h) ^2) - ((cos x) ^2)) / (((cos x) * (cos h)) ^2)),K39((x - h))) is V11() V12() ext-real set
(1 / 2) * ((cos (x + h)) + (cos (x - h))) is V11() V12() ext-real Element of REAL
((1 / 2) * ((cos (x + h)) + (cos (x - h)))) ^2 is V11() V12() ext-real Element of REAL
K37(((1 / 2) * ((cos (x + h)) + (cos (x - h)))),((1 / 2) * ((cos (x + h)) + (cos (x - h))))) is V11() V12() ext-real set
(((cos h) ^2) - ((cos x) ^2)) / (((1 / 2) * ((cos (x + h)) + (cos (x - h)))) ^2) is V11() V12() ext-real Element of REAL
K39((((1 / 2) * ((cos (x + h)) + (cos (x - h)))) ^2)) is V11() V12() ext-real set
K37((((cos h) ^2) - ((cos x) ^2)),K39((((1 / 2) * ((cos (x + h)) + (cos (x - h)))) ^2))) is V11() V12() ext-real set
((((cos h) ^2) - ((cos x) ^2)) / (((1 / 2) * ((cos (x + h)) + (cos (x - h)))) ^2)) / (x - h) is V11() V12() ext-real Element of REAL
K37(((((cos h) ^2) - ((cos x) ^2)) / (((1 / 2) * ((cos (x + h)) + (cos (x - h)))) ^2)),K39((x - h))) is V11() V12() ext-real set
1 / 4 is V1() V11() V12() ext-real Element of REAL
(1 / 4) * (((cos (x + h)) + (cos (x - h))) ^2) is V11() V12() ext-real Element of REAL
(((cos h) ^2) - ((cos x) ^2)) / ((1 / 4) * (((cos (x + h)) + (cos (x - h))) ^2)) is V11() V12() ext-real Element of REAL
K39(((1 / 4) * (((cos (x + h)) + (cos (x - h))) ^2))) is V11() V12() ext-real set
K37((((cos h) ^2) - ((cos x) ^2)),K39(((1 / 4) * (((cos (x + h)) + (cos (x - h))) ^2)))) is V11() V12() ext-real set
((((cos h) ^2) - ((cos x) ^2)) / ((1 / 4) * (((cos (x + h)) + (cos (x - h))) ^2))) / (x - h) is V11() V12() ext-real Element of REAL
K37(((((cos h) ^2) - ((cos x) ^2)) / ((1 / 4) * (((cos (x + h)) + (cos (x - h))) ^2))),K39((x - h))) is V11() V12() ext-real set
(((cos h) ^2) - ((cos x) ^2)) / (1 / 4) is V11() V12() ext-real Element of REAL
K39((1 / 4)) is V1() V11() V12() ext-real set
K37((((cos h) ^2) - ((cos x) ^2)),K39((1 / 4))) is V11() V12() ext-real set
((((cos h) ^2) - ((cos x) ^2)) / (1 / 4)) / (((cos (x + h)) + (cos (x - h))) ^2) is V11() V12() ext-real Element of REAL
K37(((((cos h) ^2) - ((cos x) ^2)) / (1 / 4)),K39((((cos (x + h)) + (cos (x - h))) ^2))) is V11() V12() ext-real set
(((((cos h) ^2) - ((cos x) ^2)) / (1 / 4)) / (((cos (x + h)) + (cos (x - h))) ^2)) / (x - h) is V11() V12() ext-real Element of REAL
K37((((((cos h) ^2) - ((cos x) ^2)) / (1 / 4)) / (((cos (x + h)) + (cos (x - h))) ^2)),K39((x - h))) is V11() V12() ext-real set
(cos h) - (cos x) is V11() V12() ext-real Element of REAL
K38((cos x)) is V11() V12() ext-real set
K36((cos h),K38((cos x))) is V11() V12() ext-real set
(cos h) + (cos x) is V11() V12() ext-real Element of REAL
((cos h) - (cos x)) * ((cos h) + (cos x)) is V11() V12() ext-real Element of REAL
4 * (((cos h) - (cos x)) * ((cos h) + (cos x))) is V11() V12() ext-real Element of REAL
(4 * (((cos h) - (cos x)) * ((cos h) + (cos x)))) / (((cos (x + h)) + (cos (x - h))) ^2) is V11() V12() ext-real Element of REAL
K37((4 * (((cos h) - (cos x)) * ((cos h) + (cos x)))),K39((((cos (x + h)) + (cos (x - h))) ^2))) is V11() V12() ext-real set
((4 * (((cos h) - (cos x)) * ((cos h) + (cos x)))) / (((cos (x + h)) + (cos (x - h))) ^2)) / (x - h) is V11() V12() ext-real Element of REAL
K37(((4 * (((cos h) - (cos x)) * ((cos h) + (cos x)))) / (((cos (x + h)) + (cos (x - h))) ^2)),K39((x - h))) is V11() V12() ext-real set
(sin ((h + x) / 2)) * (sin ((h - x) / 2)) is V11() V12() ext-real Element of REAL
2 * ((sin ((h + x) / 2)) * (sin ((h - x) / 2))) is V11() V12() ext-real Element of REAL
- (2 * ((sin ((h + x) / 2)) * (sin ((h - x) / 2)))) is V11() V12() ext-real Element of REAL
(- (2 * ((sin ((h + x) / 2)) * (sin ((h - x) / 2))))) * ((cos h) + (cos x)) is V11() V12() ext-real Element of REAL
4 * ((- (2 * ((sin ((h + x) / 2)) * (sin ((h - x) / 2))))) * ((cos h) + (cos x))) is V11() V12() ext-real Element of REAL
(4 * ((- (2 * ((sin ((h + x) / 2)) * (sin ((h - x) / 2))))) * ((cos h) + (cos x)))) / (((cos (x + h)) + (cos (x - h))) ^2) is V11() V12() ext-real Element of REAL
K37((4 * ((- (2 * ((sin ((h + x) / 2)) * (sin ((h - x) / 2))))) * ((cos h) + (cos x)))),K39((((cos (x + h)) + (cos (x - h))) ^2))) is V11() V12() ext-real set
((4 * ((- (2 * ((sin ((h + x) / 2)) * (sin ((h - x) / 2))))) * ((cos h) + (cos x)))) / (((cos (x + h)) + (cos (x - h))) ^2)) / (x - h) is V11() V12() ext-real Element of REAL
K37(((4 * ((- (2 * ((sin ((h + x) / 2)) * (sin ((h - x) / 2))))) * ((cos h) + (cos x)))) / (((cos (x + h)) + (cos (x - h))) ^2)),K39((x - h))) is V11() V12() ext-real set
(cos ((h + x) / 2)) * (cos ((h - x) / 2)) is V11() V12() ext-real Element of REAL
2 * ((cos ((h + x) / 2)) * (cos ((h - x) / 2))) is V11() V12() ext-real Element of REAL
(- (2 * ((sin ((h + x) / 2)) * (sin ((h - x) / 2))))) * (2 * ((cos ((h + x) / 2)) * (cos ((h - x) / 2)))) is V11() V12() ext-real Element of REAL
4 * ((- (2 * ((sin ((h + x) / 2)) * (sin ((h - x) / 2))))) * (2 * ((cos ((h + x) / 2)) * (cos ((h - x) / 2))))) is V11() V12() ext-real Element of REAL
(4 * ((- (2 * ((sin ((h + x) / 2)) * (sin ((h - x) / 2))))) * (2 * ((cos ((h + x) / 2)) * (cos ((h - x) / 2)))))) / (((cos (x + h)) + (cos (x - h))) ^2) is V11() V12() ext-real Element of REAL
K37((4 * ((- (2 * ((sin ((h + x) / 2)) * (sin ((h - x) / 2))))) * (2 * ((cos ((h + x) / 2)) * (cos ((h - x) / 2)))))),K39((((cos (x + h)) + (cos (x - h))) ^2))) is V11() V12() ext-real set
((4 * ((- (2 * ((sin ((h + x) / 2)) * (sin ((h - x) / 2))))) * (2 * ((cos ((h + x) / 2)) * (cos ((h - x) / 2)))))) / (((cos (x + h)) + (cos (x - h))) ^2)) / (x - h) is V11() V12() ext-real Element of REAL
K37(((4 * ((- (2 * ((sin ((h + x) / 2)) * (sin ((h - x) / 2))))) * (2 * ((cos ((h + x) / 2)) * (cos ((h - x) / 2)))))) / (((cos (x + h)) + (cos (x - h))) ^2)),K39((x - h))) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
cos x is V11() V12() ext-real Element of REAL
cos . x is V11() V12() ext-real Element of REAL
2 * x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
x + h is V11() V12() ext-real Element of REAL
cos (x + h) is V11() V12() ext-real Element of REAL
cos . (x + h) is V11() V12() ext-real Element of REAL
(2 * x) + h is V11() V12() ext-real Element of REAL
((2 * x) + h) / 2 is V11() V12() ext-real Element of REAL
K37(((2 * x) + h),K39(2)) is V11() V12() ext-real set
sin (((2 * x) + h) / 2) is V11() V12() ext-real Element of REAL
sin . (((2 * x) + h) / 2) is V11() V12() ext-real Element of REAL
(- 16) * (sin (((2 * x) + h) / 2)) is V11() V12() ext-real Element of REAL
- h is V11() V12() ext-real Element of REAL
(- h) / 2 is V11() V12() ext-real Element of REAL
K37((- h),K39(2)) is V11() V12() ext-real set
sin ((- h) / 2) is V11() V12() ext-real Element of REAL
sin . ((- h) / 2) is V11() V12() ext-real Element of REAL
((- 16) * (sin (((2 * x) + h) / 2))) * (sin ((- h) / 2)) is V11() V12() ext-real Element of REAL
cos (((2 * x) + h) / 2) is V11() V12() ext-real Element of REAL
cos . (((2 * x) + h) / 2) is V11() V12() ext-real Element of REAL
(((- 16) * (sin (((2 * x) + h) / 2))) * (sin ((- h) / 2))) * (cos (((2 * x) + h) / 2)) is V11() V12() ext-real Element of REAL
cos ((- h) / 2) is V11() V12() ext-real Element of REAL
cos . ((- h) / 2) is V11() V12() ext-real Element of REAL
((((- 16) * (sin (((2 * x) + h) / 2))) * (sin ((- h) / 2))) * (cos (((2 * x) + h) / 2))) * (cos ((- h) / 2)) is V11() V12() ext-real Element of REAL
cos ((2 * x) + h) is V11() V12() ext-real Element of REAL
cos . ((2 * x) + h) is V11() V12() ext-real Element of REAL
cos h is V11() V12() ext-real Element of REAL
cos . h is V11() V12() ext-real Element of REAL
(cos ((2 * x) + h)) + (cos h) is V11() V12() ext-real Element of REAL
((cos ((2 * x) + h)) + (cos h)) ^2 is V11() V12() ext-real Element of REAL
K37(((cos ((2 * x) + h)) + (cos h)),((cos ((2 * x) + h)) + (cos h))) is V11() V12() ext-real set
(((((- 16) * (sin (((2 * x) + h) / 2))) * (sin ((- h) / 2))) * (cos (((2 * x) + h) / 2))) * (cos ((- h) / 2))) / (((cos ((2 * x) + h)) + (cos h)) ^2) is V11() V12() ext-real Element of REAL
K39((((cos ((2 * x) + h)) + (cos h)) ^2)) is V11() V12() ext-real set
K37((((((- 16) * (sin (((2 * x) + h) / 2))) * (sin ((- h) / 2))) * (cos (((2 * x) + h) / 2))) * (cos ((- h) / 2))),K39((((cos ((2 * x) + h)) + (cos h)) ^2))) is V11() V12() ext-real set
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
fD (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (f,h)) - f is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(fD (f,h)) . x is V11() V12() ext-real Element of REAL
f . (x + h) is V11() V12() ext-real Element of REAL
f . x is V11() V12() ext-real Element of REAL
(f . (x + h)) - (f . x) is V11() V12() ext-real Element of REAL
K38((f . x)) is V11() V12() ext-real set
K36((f . (x + h)),K38((f . x))) is V11() V12() ext-real set
(cos (x + h)) ^2 is V11() V12() ext-real Element of REAL
K37((cos (x + h)),(cos (x + h))) is V11() V12() ext-real set
1 / ((cos (x + h)) ^2) is V11() V12() ext-real Element of REAL
K39(((cos (x + h)) ^2)) is V11() V12() ext-real set
K37(1,K39(((cos (x + h)) ^2))) is V11() V12() ext-real set
(1 / ((cos (x + h)) ^2)) - (f . x) is V11() V12() ext-real Element of REAL
K36((1 / ((cos (x + h)) ^2)),K38((f . x))) is V11() V12() ext-real set
(cos x) ^2 is V11() V12() ext-real Element of REAL
K37((cos x),(cos x)) is V11() V12() ext-real set
1 / ((cos x) ^2) is V11() V12() ext-real Element of REAL
K39(((cos x) ^2)) is V11() V12() ext-real set
K37(1,K39(((cos x) ^2))) is V11() V12() ext-real set
(1 / ((cos (x + h)) ^2)) - (1 / ((cos x) ^2)) is V11() V12() ext-real Element of REAL
K38((1 / ((cos x) ^2))) is V11() V12() ext-real set
K36((1 / ((cos (x + h)) ^2)),K38((1 / ((cos x) ^2)))) is V11() V12() ext-real set
1 * ((cos x) ^2) is V11() V12() ext-real Element of REAL
1 * ((cos (x + h)) ^2) is V11() V12() ext-real Element of REAL
(1 * ((cos x) ^2)) - (1 * ((cos (x + h)) ^2)) is V11() V12() ext-real Element of REAL
K38((1 * ((cos (x + h)) ^2))) is V11() V12() ext-real set
K36((1 * ((cos x) ^2)),K38((1 * ((cos (x + h)) ^2)))) is V11() V12() ext-real set
((cos (x + h)) ^2) * ((cos x) ^2) is V11() V12() ext-real Element of REAL
((1 * ((cos x) ^2)) - (1 * ((cos (x + h)) ^2))) / (((cos (x + h)) ^2) * ((cos x) ^2)) is V11() V12() ext-real Element of REAL
K39((((cos (x + h)) ^2) * ((cos x) ^2))) is V11() V12() ext-real set
K37(((1 * ((cos x) ^2)) - (1 * ((cos (x + h)) ^2))),K39((((cos (x + h)) ^2) * ((cos x) ^2)))) is V11() V12() ext-real set
((cos x) ^2) - ((cos (x + h)) ^2) is V11() V12() ext-real Element of REAL
K38(((cos (x + h)) ^2)) is V11() V12() ext-real set
K36(((cos x) ^2),K38(((cos (x + h)) ^2))) is V11() V12() ext-real set
(cos (x + h)) * (cos x) is V11() V12() ext-real Element of REAL
((cos (x + h)) * (cos x)) ^2 is V11() V12() ext-real Element of REAL
K37(((cos (x + h)) * (cos x)),((cos (x + h)) * (cos x))) is V11() V12() ext-real set
(((cos x) ^2) - ((cos (x + h)) ^2)) / (((cos (x + h)) * (cos x)) ^2) is V11() V12() ext-real Element of REAL
K39((((cos (x + h)) * (cos x)) ^2)) is V11() V12() ext-real set
K37((((cos x) ^2) - ((cos (x + h)) ^2)),K39((((cos (x + h)) * (cos x)) ^2))) is V11() V12() ext-real set
(x + h) + x is V11() V12() ext-real Element of REAL
cos ((x + h) + x) is V11() V12() ext-real Element of REAL
cos . ((x + h) + x) is V11() V12() ext-real Element of REAL
(x + h) - x is V11() V12() ext-real Element of REAL
K38(x) is V11() V12() ext-real set
K36((x + h),K38(x)) is V11() V12() ext-real set
cos ((x + h) - x) is V11() V12() ext-real Element of REAL
cos . ((x + h) - x) is V11() V12() ext-real Element of REAL
(cos ((x + h) + x)) + (cos ((x + h) - x)) is V11() V12() ext-real Element of REAL
(1 / 2) * ((cos ((x + h) + x)) + (cos ((x + h) - x))) is V11() V12() ext-real Element of REAL
((1 / 2) * ((cos ((x + h) + x)) + (cos ((x + h) - x)))) ^2 is V11() V12() ext-real Element of REAL
K37(((1 / 2) * ((cos ((x + h) + x)) + (cos ((x + h) - x)))),((1 / 2) * ((cos ((x + h) + x)) + (cos ((x + h) - x))))) is V11() V12() ext-real set
(((cos x) ^2) - ((cos (x + h)) ^2)) / (((1 / 2) * ((cos ((x + h) + x)) + (cos ((x + h) - x)))) ^2) is V11() V12() ext-real Element of REAL
K39((((1 / 2) * ((cos ((x + h) + x)) + (cos ((x + h) - x)))) ^2)) is V11() V12() ext-real set
K37((((cos x) ^2) - ((cos (x + h)) ^2)),K39((((1 / 2) * ((cos ((x + h) + x)) + (cos ((x + h) - x)))) ^2))) is V11() V12() ext-real set
1 / 4 is V1() V11() V12() ext-real Element of REAL
(1 / 4) * (((cos ((2 * x) + h)) + (cos h)) ^2) is V11() V12() ext-real Element of REAL
(((cos x) ^2) - ((cos (x + h)) ^2)) / ((1 / 4) * (((cos ((2 * x) + h)) + (cos h)) ^2)) is V11() V12() ext-real Element of REAL
K39(((1 / 4) * (((cos ((2 * x) + h)) + (cos h)) ^2))) is V11() V12() ext-real set
K37((((cos x) ^2) - ((cos (x + h)) ^2)),K39(((1 / 4) * (((cos ((2 * x) + h)) + (cos h)) ^2)))) is V11() V12() ext-real set
(((cos x) ^2) - ((cos (x + h)) ^2)) / (1 / 4) is V11() V12() ext-real Element of REAL
K39((1 / 4)) is V1() V11() V12() ext-real set
K37((((cos x) ^2) - ((cos (x + h)) ^2)),K39((1 / 4))) is V11() V12() ext-real set
((((cos x) ^2) - ((cos (x + h)) ^2)) / (1 / 4)) / (((cos ((2 * x) + h)) + (cos h)) ^2) is V11() V12() ext-real Element of REAL
K37(((((cos x) ^2) - ((cos (x + h)) ^2)) / (1 / 4)),K39((((cos ((2 * x) + h)) + (cos h)) ^2))) is V11() V12() ext-real set
(cos x) - (cos (x + h)) is V11() V12() ext-real Element of REAL
K38((cos (x + h))) is V11() V12() ext-real set
K36((cos x),K38((cos (x + h)))) is V11() V12() ext-real set
(cos x) + (cos (x + h)) is V11() V12() ext-real Element of REAL
((cos x) - (cos (x + h))) * ((cos x) + (cos (x + h))) is V11() V12() ext-real Element of REAL
(((cos x) - (cos (x + h))) * ((cos x) + (cos (x + h)))) / (((cos ((2 * x) + h)) + (cos h)) ^2) is V11() V12() ext-real Element of REAL
K37((((cos x) - (cos (x + h))) * ((cos x) + (cos (x + h)))),K39((((cos ((2 * x) + h)) + (cos h)) ^2))) is V11() V12() ext-real set
4 * ((((cos x) - (cos (x + h))) * ((cos x) + (cos (x + h)))) / (((cos ((2 * x) + h)) + (cos h)) ^2)) is V11() V12() ext-real Element of REAL
x + (x + h) is V11() V12() ext-real Element of REAL
(x + (x + h)) / 2 is V11() V12() ext-real Element of REAL
K37((x + (x + h)),K39(2)) is V11() V12() ext-real set
sin ((x + (x + h)) / 2) is V11() V12() ext-real Element of REAL
sin . ((x + (x + h)) / 2) is V11() V12() ext-real Element of REAL
x - (x + h) is V11() V12() ext-real Element of REAL
K38((x + h)) is V11() V12() ext-real set
K36(x,K38((x + h))) is V11() V12() ext-real set
(x - (x + h)) / 2 is V11() V12() ext-real Element of REAL
K37((x - (x + h)),K39(2)) is V11() V12() ext-real set
sin ((x - (x + h)) / 2) is V11() V12() ext-real Element of REAL
sin . ((x - (x + h)) / 2) is V11() V12() ext-real Element of REAL
(sin ((x + (x + h)) / 2)) * (sin ((x - (x + h)) / 2)) is V11() V12() ext-real Element of REAL
2 * ((sin ((x + (x + h)) / 2)) * (sin ((x - (x + h)) / 2))) is V11() V12() ext-real Element of REAL
- (2 * ((sin ((x + (x + h)) / 2)) * (sin ((x - (x + h)) / 2)))) is V11() V12() ext-real Element of REAL
(- (2 * ((sin ((x + (x + h)) / 2)) * (sin ((x - (x + h)) / 2))))) * ((cos x) + (cos (x + h))) is V11() V12() ext-real Element of REAL
((- (2 * ((sin ((x + (x + h)) / 2)) * (sin ((x - (x + h)) / 2))))) * ((cos x) + (cos (x + h)))) / (((cos ((2 * x) + h)) + (cos h)) ^2) is V11() V12() ext-real Element of REAL
K37(((- (2 * ((sin ((x + (x + h)) / 2)) * (sin ((x - (x + h)) / 2))))) * ((cos x) + (cos (x + h)))),K39((((cos ((2 * x) + h)) + (cos h)) ^2))) is V11() V12() ext-real set
4 * (((- (2 * ((sin ((x + (x + h)) / 2)) * (sin ((x - (x + h)) / 2))))) * ((cos x) + (cos (x + h)))) / (((cos ((2 * x) + h)) + (cos h)) ^2)) is V11() V12() ext-real Element of REAL
(sin (((2 * x) + h) / 2)) * (sin ((- h) / 2)) is V11() V12() ext-real Element of REAL
2 * ((sin (((2 * x) + h) / 2)) * (sin ((- h) / 2))) is V11() V12() ext-real Element of REAL
- (2 * ((sin (((2 * x) + h) / 2)) * (sin ((- h) / 2)))) is V11() V12() ext-real Element of REAL
(cos (((2 * x) + h) / 2)) * (cos ((- h) / 2)) is V11() V12() ext-real Element of REAL
2 * ((cos (((2 * x) + h) / 2)) * (cos ((- h) / 2))) is V11() V12() ext-real Element of REAL
(- (2 * ((sin (((2 * x) + h) / 2)) * (sin ((- h) / 2))))) * (2 * ((cos (((2 * x) + h) / 2)) * (cos ((- h) / 2)))) is V11() V12() ext-real Element of REAL
((- (2 * ((sin (((2 * x) + h) / 2)) * (sin ((- h) / 2))))) * (2 * ((cos (((2 * x) + h) / 2)) * (cos ((- h) / 2))))) / (((cos ((2 * x) + h)) + (cos h)) ^2) is V11() V12() ext-real Element of REAL
K37(((- (2 * ((sin (((2 * x) + h) / 2)) * (sin ((- h) / 2))))) * (2 * ((cos (((2 * x) + h) / 2)) * (cos ((- h) / 2))))),K39((((cos ((2 * x) + h)) + (cos h)) ^2))) is V11() V12() ext-real set
4 * (((- (2 * ((sin (((2 * x) + h) / 2)) * (sin ((- h) / 2))))) * (2 * ((cos (((2 * x) + h) / 2)) * (cos ((- h) / 2))))) / (((cos ((2 * x) + h)) + (cos h)) ^2)) is V11() V12() ext-real Element of REAL
x is V11() V12() ext-real Element of REAL
cos x is V11() V12() ext-real Element of REAL
cos . x is V11() V12() ext-real Element of REAL
2 * x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
x - h is V11() V12() ext-real Element of REAL
K38(h) is V11() V12() ext-real set
K36(x,K38(h)) is V11() V12() ext-real set
cos (x - h) is V11() V12() ext-real Element of REAL
cos . (x - h) is V11() V12() ext-real Element of REAL
(2 * x) - h is V11() V12() ext-real Element of REAL
K36((2 * x),K38(h)) is V11() V12() ext-real set
((2 * x) - h) / 2 is V11() V12() ext-real Element of REAL
K37(((2 * x) - h),K39(2)) is V11() V12() ext-real set
sin (((2 * x) - h) / 2) is V11() V12() ext-real Element of REAL
sin . (((2 * x) - h) / 2) is V11() V12() ext-real Element of REAL
(- 16) * (sin (((2 * x) - h) / 2)) is V11() V12() ext-real Element of REAL
- h is V11() V12() ext-real Element of REAL
(- h) / 2 is V11() V12() ext-real Element of REAL
K37((- h),K39(2)) is V11() V12() ext-real set
sin ((- h) / 2) is V11() V12() ext-real Element of REAL
sin . ((- h) / 2) is V11() V12() ext-real Element of REAL
((- 16) * (sin (((2 * x) - h) / 2))) * (sin ((- h) / 2)) is V11() V12() ext-real Element of REAL
cos (((2 * x) - h) / 2) is V11() V12() ext-real Element of REAL
cos . (((2 * x) - h) / 2) is V11() V12() ext-real Element of REAL
(((- 16) * (sin (((2 * x) - h) / 2))) * (sin ((- h) / 2))) * (cos (((2 * x) - h) / 2)) is V11() V12() ext-real Element of REAL
cos ((- h) / 2) is V11() V12() ext-real Element of REAL
cos . ((- h) / 2) is V11() V12() ext-real Element of REAL
((((- 16) * (sin (((2 * x) - h) / 2))) * (sin ((- h) / 2))) * (cos (((2 * x) - h) / 2))) * (cos ((- h) / 2)) is V11() V12() ext-real Element of REAL
cos ((2 * x) - h) is V11() V12() ext-real Element of REAL
cos . ((2 * x) - h) is V11() V12() ext-real Element of REAL
cos h is V11() V12() ext-real Element of REAL
cos . h is V11() V12() ext-real Element of REAL
(cos ((2 * x) - h)) + (cos h) is V11() V12() ext-real Element of REAL
((cos ((2 * x) - h)) + (cos h)) ^2 is V11() V12() ext-real Element of REAL
K37(((cos ((2 * x) - h)) + (cos h)),((cos ((2 * x) - h)) + (cos h))) is V11() V12() ext-real set
(((((- 16) * (sin (((2 * x) - h) / 2))) * (sin ((- h) / 2))) * (cos (((2 * x) - h) / 2))) * (cos ((- h) / 2))) / (((cos ((2 * x) - h)) + (cos h)) ^2) is V11() V12() ext-real Element of REAL
K39((((cos ((2 * x) - h)) + (cos h)) ^2)) is V11() V12() ext-real set
K37((((((- 16) * (sin (((2 * x) - h) / 2))) * (sin ((- h) / 2))) * (cos (((2 * x) - h) / 2))) * (cos ((- h) / 2))),K39((((cos ((2 * x) - h)) + (cos h)) ^2))) is V11() V12() ext-real set
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
bD (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (f,K38(h)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
f - (Shift (f,K38(h))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(bD (f,h)) . x is V11() V12() ext-real Element of REAL
f . x is V11() V12() ext-real Element of REAL
f . (x - h) is V11() V12() ext-real Element of REAL
(f . x) - (f . (x - h)) is V11() V12() ext-real Element of REAL
K38((f . (x - h))) is V11() V12() ext-real set
K36((f . x),K38((f . (x - h)))) is V11() V12() ext-real set
(cos x) ^2 is V11() V12() ext-real Element of REAL
K37((cos x),(cos x)) is V11() V12() ext-real set
1 / ((cos x) ^2) is V11() V12() ext-real Element of REAL
K39(((cos x) ^2)) is V11() V12() ext-real set
K37(1,K39(((cos x) ^2))) is V11() V12() ext-real set
(1 / ((cos x) ^2)) - (f . (x - h)) is V11() V12() ext-real Element of REAL
K36((1 / ((cos x) ^2)),K38((f . (x - h)))) is V11() V12() ext-real set
(cos (x - h)) ^2 is V11() V12() ext-real Element of REAL
K37((cos (x - h)),(cos (x - h))) is V11() V12() ext-real set
1 / ((cos (x - h)) ^2) is V11() V12() ext-real Element of REAL
K39(((cos (x - h)) ^2)) is V11() V12() ext-real set
K37(1,K39(((cos (x - h)) ^2))) is V11() V12() ext-real set
(1 / ((cos x) ^2)) - (1 / ((cos (x - h)) ^2)) is V11() V12() ext-real Element of REAL
K38((1 / ((cos (x - h)) ^2))) is V11() V12() ext-real set
K36((1 / ((cos x) ^2)),K38((1 / ((cos (x - h)) ^2)))) is V11() V12() ext-real set
1 * ((cos (x - h)) ^2) is V11() V12() ext-real Element of REAL
1 * ((cos x) ^2) is V11() V12() ext-real Element of REAL
(1 * ((cos (x - h)) ^2)) - (1 * ((cos x) ^2)) is V11() V12() ext-real Element of REAL
K38((1 * ((cos x) ^2))) is V11() V12() ext-real set
K36((1 * ((cos (x - h)) ^2)),K38((1 * ((cos x) ^2)))) is V11() V12() ext-real set
((cos x) ^2) * ((cos (x - h)) ^2) is V11() V12() ext-real Element of REAL
((1 * ((cos (x - h)) ^2)) - (1 * ((cos x) ^2))) / (((cos x) ^2) * ((cos (x - h)) ^2)) is V11() V12() ext-real Element of REAL
K39((((cos x) ^2) * ((cos (x - h)) ^2))) is V11() V12() ext-real set
K37(((1 * ((cos (x - h)) ^2)) - (1 * ((cos x) ^2))),K39((((cos x) ^2) * ((cos (x - h)) ^2)))) is V11() V12() ext-real set
((cos (x - h)) ^2) - ((cos x) ^2) is V11() V12() ext-real Element of REAL
K38(((cos x) ^2)) is V11() V12() ext-real set
K36(((cos (x - h)) ^2),K38(((cos x) ^2))) is V11() V12() ext-real set
(cos x) * (cos (x - h)) is V11() V12() ext-real Element of REAL
((cos x) * (cos (x - h))) ^2 is V11() V12() ext-real Element of REAL
K37(((cos x) * (cos (x - h))),((cos x) * (cos (x - h)))) is V11() V12() ext-real set
(((cos (x - h)) ^2) - ((cos x) ^2)) / (((cos x) * (cos (x - h))) ^2) is V11() V12() ext-real Element of REAL
K39((((cos x) * (cos (x - h))) ^2)) is V11() V12() ext-real set
K37((((cos (x - h)) ^2) - ((cos x) ^2)),K39((((cos x) * (cos (x - h))) ^2))) is V11() V12() ext-real set
x + (x - h) is V11() V12() ext-real Element of REAL
cos (x + (x - h)) is V11() V12() ext-real Element of REAL
cos . (x + (x - h)) is V11() V12() ext-real Element of REAL
x - (x - h) is V11() V12() ext-real Element of REAL
K38((x - h)) is V11() V12() ext-real set
K36(x,K38((x - h))) is V11() V12() ext-real set
cos (x - (x - h)) is V11() V12() ext-real Element of REAL
cos . (x - (x - h)) is V11() V12() ext-real Element of REAL
(cos (x + (x - h))) + (cos (x - (x - h))) is V11() V12() ext-real Element of REAL
(1 / 2) * ((cos (x + (x - h))) + (cos (x - (x - h)))) is V11() V12() ext-real Element of REAL
((1 / 2) * ((cos (x + (x - h))) + (cos (x - (x - h))))) ^2 is V11() V12() ext-real Element of REAL
K37(((1 / 2) * ((cos (x + (x - h))) + (cos (x - (x - h))))),((1 / 2) * ((cos (x + (x - h))) + (cos (x - (x - h)))))) is V11() V12() ext-real set
(((cos (x - h)) ^2) - ((cos x) ^2)) / (((1 / 2) * ((cos (x + (x - h))) + (cos (x - (x - h))))) ^2) is V11() V12() ext-real Element of REAL
K39((((1 / 2) * ((cos (x + (x - h))) + (cos (x - (x - h))))) ^2)) is V11() V12() ext-real set
K37((((cos (x - h)) ^2) - ((cos x) ^2)),K39((((1 / 2) * ((cos (x + (x - h))) + (cos (x - (x - h))))) ^2))) is V11() V12() ext-real set
1 / 4 is V1() V11() V12() ext-real Element of REAL
(1 / 4) * (((cos ((2 * x) - h)) + (cos h)) ^2) is V11() V12() ext-real Element of REAL
(((cos (x - h)) ^2) - ((cos x) ^2)) / ((1 / 4) * (((cos ((2 * x) - h)) + (cos h)) ^2)) is V11() V12() ext-real Element of REAL
K39(((1 / 4) * (((cos ((2 * x) - h)) + (cos h)) ^2))) is V11() V12() ext-real set
K37((((cos (x - h)) ^2) - ((cos x) ^2)),K39(((1 / 4) * (((cos ((2 * x) - h)) + (cos h)) ^2)))) is V11() V12() ext-real set
(((cos (x - h)) ^2) - ((cos x) ^2)) / (1 / 4) is V11() V12() ext-real Element of REAL
K39((1 / 4)) is V1() V11() V12() ext-real set
K37((((cos (x - h)) ^2) - ((cos x) ^2)),K39((1 / 4))) is V11() V12() ext-real set
((((cos (x - h)) ^2) - ((cos x) ^2)) / (1 / 4)) / (((cos ((2 * x) - h)) + (cos h)) ^2) is V11() V12() ext-real Element of REAL
K37(((((cos (x - h)) ^2) - ((cos x) ^2)) / (1 / 4)),K39((((cos ((2 * x) - h)) + (cos h)) ^2))) is V11() V12() ext-real set
(cos (x - h)) - (cos x) is V11() V12() ext-real Element of REAL
K38((cos x)) is V11() V12() ext-real set
K36((cos (x - h)),K38((cos x))) is V11() V12() ext-real set
(cos (x - h)) + (cos x) is V11() V12() ext-real Element of REAL
((cos (x - h)) - (cos x)) * ((cos (x - h)) + (cos x)) is V11() V12() ext-real Element of REAL
(((cos (x - h)) - (cos x)) * ((cos (x - h)) + (cos x))) / (((cos ((2 * x) - h)) + (cos h)) ^2) is V11() V12() ext-real Element of REAL
K37((((cos (x - h)) - (cos x)) * ((cos (x - h)) + (cos x))),K39((((cos ((2 * x) - h)) + (cos h)) ^2))) is V11() V12() ext-real set
4 * ((((cos (x - h)) - (cos x)) * ((cos (x - h)) + (cos x))) / (((cos ((2 * x) - h)) + (cos h)) ^2)) is V11() V12() ext-real Element of REAL
(x - h) + x is V11() V12() ext-real Element of REAL
((x - h) + x) / 2 is V11() V12() ext-real Element of REAL
K37(((x - h) + x),K39(2)) is V11() V12() ext-real set
sin (((x - h) + x) / 2) is V11() V12() ext-real Element of REAL
sin . (((x - h) + x) / 2) is V11() V12() ext-real Element of REAL
(x - h) - x is V11() V12() ext-real Element of REAL
K38(x) is V11() V12() ext-real set
K36((x - h),K38(x)) is V11() V12() ext-real set
((x - h) - x) / 2 is V11() V12() ext-real Element of REAL
K37(((x - h) - x),K39(2)) is V11() V12() ext-real set
sin (((x - h) - x) / 2) is V11() V12() ext-real Element of REAL
sin . (((x - h) - x) / 2) is V11() V12() ext-real Element of REAL
(sin (((x - h) + x) / 2)) * (sin (((x - h) - x) / 2)) is V11() V12() ext-real Element of REAL
2 * ((sin (((x - h) + x) / 2)) * (sin (((x - h) - x) / 2))) is V11() V12() ext-real Element of REAL
- (2 * ((sin (((x - h) + x) / 2)) * (sin (((x - h) - x) / 2)))) is V11() V12() ext-real Element of REAL
(- (2 * ((sin (((x - h) + x) / 2)) * (sin (((x - h) - x) / 2))))) * ((cos (x - h)) + (cos x)) is V11() V12() ext-real Element of REAL
((- (2 * ((sin (((x - h) + x) / 2)) * (sin (((x - h) - x) / 2))))) * ((cos (x - h)) + (cos x))) / (((cos ((2 * x) - h)) + (cos h)) ^2) is V11() V12() ext-real Element of REAL
K37(((- (2 * ((sin (((x - h) + x) / 2)) * (sin (((x - h) - x) / 2))))) * ((cos (x - h)) + (cos x))),K39((((cos ((2 * x) - h)) + (cos h)) ^2))) is V11() V12() ext-real set
4 * (((- (2 * ((sin (((x - h) + x) / 2)) * (sin (((x - h) - x) / 2))))) * ((cos (x - h)) + (cos x))) / (((cos ((2 * x) - h)) + (cos h)) ^2)) is V11() V12() ext-real Element of REAL
(sin (((2 * x) - h) / 2)) * (sin ((- h) / 2)) is V11() V12() ext-real Element of REAL
2 * ((sin (((2 * x) - h) / 2)) * (sin ((- h) / 2))) is V11() V12() ext-real Element of REAL
- (2 * ((sin (((2 * x) - h) / 2)) * (sin ((- h) / 2)))) is V11() V12() ext-real Element of REAL
(cos (((2 * x) - h) / 2)) * (cos ((- h) / 2)) is V11() V12() ext-real Element of REAL
2 * ((cos (((2 * x) - h) / 2)) * (cos ((- h) / 2))) is V11() V12() ext-real Element of REAL
(- (2 * ((sin (((2 * x) - h) / 2)) * (sin ((- h) / 2))))) * (2 * ((cos (((2 * x) - h) / 2)) * (cos ((- h) / 2)))) is V11() V12() ext-real Element of REAL
((- (2 * ((sin (((2 * x) - h) / 2)) * (sin ((- h) / 2))))) * (2 * ((cos (((2 * x) - h) / 2)) * (cos ((- h) / 2))))) / (((cos ((2 * x) - h)) + (cos h)) ^2) is V11() V12() ext-real Element of REAL
K37(((- (2 * ((sin (((2 * x) - h) / 2)) * (sin ((- h) / 2))))) * (2 * ((cos (((2 * x) - h) / 2)) * (cos ((- h) / 2))))),K39((((cos ((2 * x) - h)) + (cos h)) ^2))) is V11() V12() ext-real set
4 * (((- (2 * ((sin (((2 * x) - h) / 2)) * (sin ((- h) / 2))))) * (2 * ((cos (((2 * x) - h) / 2)) * (cos ((- h) / 2))))) / (((cos ((2 * x) - h)) + (cos h)) ^2)) is V11() V12() ext-real Element of REAL
x is V11() V12() ext-real Element of REAL
sin x is V11() V12() ext-real Element of REAL
sin . x is V11() V12() ext-real Element of REAL
(- 16) * (sin x) is V11() V12() ext-real Element of REAL
cos x is V11() V12() ext-real Element of REAL
cos . x is V11() V12() ext-real Element of REAL
2 * x is V11() V12() ext-real Element of REAL
cos (2 * x) is V11() V12() ext-real Element of REAL
cos . (2 * x) is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
h / 2 is V11() V12() ext-real Element of REAL
K37(h,K39(2)) is V11() V12() ext-real set
x + (h / 2) is V11() V12() ext-real Element of REAL
cos (x + (h / 2)) is V11() V12() ext-real Element of REAL
cos . (x + (h / 2)) is V11() V12() ext-real Element of REAL
x - (h / 2) is V11() V12() ext-real Element of REAL
K38((h / 2)) is V11() V12() ext-real set
K36(x,K38((h / 2))) is V11() V12() ext-real set
cos (x - (h / 2)) is V11() V12() ext-real Element of REAL
cos . (x - (h / 2)) is V11() V12() ext-real Element of REAL
- h is V11() V12() ext-real Element of REAL
(- h) / 2 is V11() V12() ext-real Element of REAL
K37((- h),K39(2)) is V11() V12() ext-real set
sin ((- h) / 2) is V11() V12() ext-real Element of REAL
sin . ((- h) / 2) is V11() V12() ext-real Element of REAL
((- 16) * (sin x)) * (sin ((- h) / 2)) is V11() V12() ext-real Element of REAL
(((- 16) * (sin x)) * (sin ((- h) / 2))) * (cos x) is V11() V12() ext-real Element of REAL
cos ((- h) / 2) is V11() V12() ext-real Element of REAL
cos . ((- h) / 2) is V11() V12() ext-real Element of REAL
((((- 16) * (sin x)) * (sin ((- h) / 2))) * (cos x)) * (cos ((- h) / 2)) is V11() V12() ext-real Element of REAL
cos h is V11() V12() ext-real Element of REAL
cos . h is V11() V12() ext-real Element of REAL
(cos (2 * x)) + (cos h) is V11() V12() ext-real Element of REAL
((cos (2 * x)) + (cos h)) ^2 is V11() V12() ext-real Element of REAL
K37(((cos (2 * x)) + (cos h)),((cos (2 * x)) + (cos h))) is V11() V12() ext-real set
(((((- 16) * (sin x)) * (sin ((- h) / 2))) * (cos x)) * (cos ((- h) / 2))) / (((cos (2 * x)) + (cos h)) ^2) is V11() V12() ext-real Element of REAL
K39((((cos (2 * x)) + (cos h)) ^2)) is V11() V12() ext-real set
K37((((((- 16) * (sin x)) * (sin ((- h) / 2))) * (cos x)) * (cos ((- h) / 2))),K39((((cos (2 * x)) + (cos h)) ^2))) is V11() V12() ext-real set
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
cD (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
h / 2 is V11() V12() ext-real Element of REAL
Shift (f,(h / 2)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
- (h / 2) is V11() V12() ext-real Element of REAL
Shift (f,(- (h / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (f,(h / 2))) - (Shift (f,(- (h / 2)))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(cD (f,h)) . x is V11() V12() ext-real Element of REAL
f . (x + (h / 2)) is V11() V12() ext-real Element of REAL
f . (x - (h / 2)) is V11() V12() ext-real Element of REAL
(f . (x + (h / 2))) - (f . (x - (h / 2))) is V11() V12() ext-real Element of REAL
K38((f . (x - (h / 2)))) is V11() V12() ext-real set
K36((f . (x + (h / 2))),K38((f . (x - (h / 2))))) is V11() V12() ext-real set
(cos (x + (h / 2))) ^2 is V11() V12() ext-real Element of REAL
K37((cos (x + (h / 2))),(cos (x + (h / 2)))) is V11() V12() ext-real set
1 / ((cos (x + (h / 2))) ^2) is V11() V12() ext-real Element of REAL
K39(((cos (x + (h / 2))) ^2)) is V11() V12() ext-real set
K37(1,K39(((cos (x + (h / 2))) ^2))) is V11() V12() ext-real set
(1 / ((cos (x + (h / 2))) ^2)) - (f . (x - (h / 2))) is V11() V12() ext-real Element of REAL
K36((1 / ((cos (x + (h / 2))) ^2)),K38((f . (x - (h / 2))))) is V11() V12() ext-real set
(cos (x - (h / 2))) ^2 is V11() V12() ext-real Element of REAL
K37((cos (x - (h / 2))),(cos (x - (h / 2)))) is V11() V12() ext-real set
1 / ((cos (x - (h / 2))) ^2) is V11() V12() ext-real Element of REAL
K39(((cos (x - (h / 2))) ^2)) is V11() V12() ext-real set
K37(1,K39(((cos (x - (h / 2))) ^2))) is V11() V12() ext-real set
(1 / ((cos (x + (h / 2))) ^2)) - (1 / ((cos (x - (h / 2))) ^2)) is V11() V12() ext-real Element of REAL
K38((1 / ((cos (x - (h / 2))) ^2))) is V11() V12() ext-real set
K36((1 / ((cos (x + (h / 2))) ^2)),K38((1 / ((cos (x - (h / 2))) ^2)))) is V11() V12() ext-real set
1 * ((cos (x - (h / 2))) ^2) is V11() V12() ext-real Element of REAL
1 * ((cos (x + (h / 2))) ^2) is V11() V12() ext-real Element of REAL
(1 * ((cos (x - (h / 2))) ^2)) - (1 * ((cos (x + (h / 2))) ^2)) is V11() V12() ext-real Element of REAL
K38((1 * ((cos (x + (h / 2))) ^2))) is V11() V12() ext-real set
K36((1 * ((cos (x - (h / 2))) ^2)),K38((1 * ((cos (x + (h / 2))) ^2)))) is V11() V12() ext-real set
((cos (x + (h / 2))) ^2) * ((cos (x - (h / 2))) ^2) is V11() V12() ext-real Element of REAL
((1 * ((cos (x - (h / 2))) ^2)) - (1 * ((cos (x + (h / 2))) ^2))) / (((cos (x + (h / 2))) ^2) * ((cos (x - (h / 2))) ^2)) is V11() V12() ext-real Element of REAL
K39((((cos (x + (h / 2))) ^2) * ((cos (x - (h / 2))) ^2))) is V11() V12() ext-real set
K37(((1 * ((cos (x - (h / 2))) ^2)) - (1 * ((cos (x + (h / 2))) ^2))),K39((((cos (x + (h / 2))) ^2) * ((cos (x - (h / 2))) ^2)))) is V11() V12() ext-real set
((cos (x - (h / 2))) ^2) - ((cos (x + (h / 2))) ^2) is V11() V12() ext-real Element of REAL
K38(((cos (x + (h / 2))) ^2)) is V11() V12() ext-real set
K36(((cos (x - (h / 2))) ^2),K38(((cos (x + (h / 2))) ^2))) is V11() V12() ext-real set
(cos (x + (h / 2))) * (cos (x - (h / 2))) is V11() V12() ext-real Element of REAL
((cos (x + (h / 2))) * (cos (x - (h / 2)))) ^2 is V11() V12() ext-real Element of REAL
K37(((cos (x + (h / 2))) * (cos (x - (h / 2)))),((cos (x + (h / 2))) * (cos (x - (h / 2))))) is V11() V12() ext-real set
(((cos (x - (h / 2))) ^2) - ((cos (x + (h / 2))) ^2)) / (((cos (x + (h / 2))) * (cos (x - (h / 2)))) ^2) is V11() V12() ext-real Element of REAL
K39((((cos (x + (h / 2))) * (cos (x - (h / 2)))) ^2)) is V11() V12() ext-real set
K37((((cos (x - (h / 2))) ^2) - ((cos (x + (h / 2))) ^2)),K39((((cos (x + (h / 2))) * (cos (x - (h / 2)))) ^2))) is V11() V12() ext-real set
(x + (h / 2)) + (x - (h / 2)) is V11() V12() ext-real Element of REAL
cos ((x + (h / 2)) + (x - (h / 2))) is V11() V12() ext-real Element of REAL
cos . ((x + (h / 2)) + (x - (h / 2))) is V11() V12() ext-real Element of REAL
(x + (h / 2)) - (x - (h / 2)) is V11() V12() ext-real Element of REAL
K38((x - (h / 2))) is V11() V12() ext-real set
K36((x + (h / 2)),K38((x - (h / 2)))) is V11() V12() ext-real set
cos ((x + (h / 2)) - (x - (h / 2))) is V11() V12() ext-real Element of REAL
cos . ((x + (h / 2)) - (x - (h / 2))) is V11() V12() ext-real Element of REAL
(cos ((x + (h / 2)) + (x - (h / 2)))) + (cos ((x + (h / 2)) - (x - (h / 2)))) is V11() V12() ext-real Element of REAL
(1 / 2) * ((cos ((x + (h / 2)) + (x - (h / 2)))) + (cos ((x + (h / 2)) - (x - (h / 2))))) is V11() V12() ext-real Element of REAL
((1 / 2) * ((cos ((x + (h / 2)) + (x - (h / 2)))) + (cos ((x + (h / 2)) - (x - (h / 2)))))) ^2 is V11() V12() ext-real Element of REAL
K37(((1 / 2) * ((cos ((x + (h / 2)) + (x - (h / 2)))) + (cos ((x + (h / 2)) - (x - (h / 2)))))),((1 / 2) * ((cos ((x + (h / 2)) + (x - (h / 2)))) + (cos ((x + (h / 2)) - (x - (h / 2))))))) is V11() V12() ext-real set
(((cos (x - (h / 2))) ^2) - ((cos (x + (h / 2))) ^2)) / (((1 / 2) * ((cos ((x + (h / 2)) + (x - (h / 2)))) + (cos ((x + (h / 2)) - (x - (h / 2)))))) ^2) is V11() V12() ext-real Element of REAL
K39((((1 / 2) * ((cos ((x + (h / 2)) + (x - (h / 2)))) + (cos ((x + (h / 2)) - (x - (h / 2)))))) ^2)) is V11() V12() ext-real set
K37((((cos (x - (h / 2))) ^2) - ((cos (x + (h / 2))) ^2)),K39((((1 / 2) * ((cos ((x + (h / 2)) + (x - (h / 2)))) + (cos ((x + (h / 2)) - (x - (h / 2)))))) ^2))) is V11() V12() ext-real set
1 / 4 is V1() V11() V12() ext-real Element of REAL
(1 / 4) * (((cos (2 * x)) + (cos h)) ^2) is V11() V12() ext-real Element of REAL
(((cos (x - (h / 2))) ^2) - ((cos (x + (h / 2))) ^2)) / ((1 / 4) * (((cos (2 * x)) + (cos h)) ^2)) is V11() V12() ext-real Element of REAL
K39(((1 / 4) * (((cos (2 * x)) + (cos h)) ^2))) is V11() V12() ext-real set
K37((((cos (x - (h / 2))) ^2) - ((cos (x + (h / 2))) ^2)),K39(((1 / 4) * (((cos (2 * x)) + (cos h)) ^2)))) is V11() V12() ext-real set
(((cos (x - (h / 2))) ^2) - ((cos (x + (h / 2))) ^2)) / (1 / 4) is V11() V12() ext-real Element of REAL
K39((1 / 4)) is V1() V11() V12() ext-real set
K37((((cos (x - (h / 2))) ^2) - ((cos (x + (h / 2))) ^2)),K39((1 / 4))) is V11() V12() ext-real set
((((cos (x - (h / 2))) ^2) - ((cos (x + (h / 2))) ^2)) / (1 / 4)) / (((cos (2 * x)) + (cos h)) ^2) is V11() V12() ext-real Element of REAL
K37(((((cos (x - (h / 2))) ^2) - ((cos (x + (h / 2))) ^2)) / (1 / 4)),K39((((cos (2 * x)) + (cos h)) ^2))) is V11() V12() ext-real set
(cos (x - (h / 2))) - (cos (x + (h / 2))) is V11() V12() ext-real Element of REAL
K38((cos (x + (h / 2)))) is V11() V12() ext-real set
K36((cos (x - (h / 2))),K38((cos (x + (h / 2))))) is V11() V12() ext-real set
(cos (x - (h / 2))) + (cos (x + (h / 2))) is V11() V12() ext-real Element of REAL
((cos (x - (h / 2))) - (cos (x + (h / 2)))) * ((cos (x - (h / 2))) + (cos (x + (h / 2)))) is V11() V12() ext-real Element of REAL
(((cos (x - (h / 2))) - (cos (x + (h / 2)))) * ((cos (x - (h / 2))) + (cos (x + (h / 2))))) / (((cos (2 * x)) + (cos h)) ^2) is V11() V12() ext-real Element of REAL
K37((((cos (x - (h / 2))) - (cos (x + (h / 2)))) * ((cos (x - (h / 2))) + (cos (x + (h / 2))))),K39((((cos (2 * x)) + (cos h)) ^2))) is V11() V12() ext-real set
4 * ((((cos (x - (h / 2))) - (cos (x + (h / 2)))) * ((cos (x - (h / 2))) + (cos (x + (h / 2))))) / (((cos (2 * x)) + (cos h)) ^2)) is V11() V12() ext-real Element of REAL
(x - (h / 2)) + (x + (h / 2)) is V11() V12() ext-real Element of REAL
((x - (h / 2)) + (x + (h / 2))) / 2 is V11() V12() ext-real Element of REAL
K37(((x - (h / 2)) + (x + (h / 2))),K39(2)) is V11() V12() ext-real set
sin (((x - (h / 2)) + (x + (h / 2))) / 2) is V11() V12() ext-real Element of REAL
sin . (((x - (h / 2)) + (x + (h / 2))) / 2) is V11() V12() ext-real Element of REAL
(x - (h / 2)) - (x + (h / 2)) is V11() V12() ext-real Element of REAL
K38((x + (h / 2))) is V11() V12() ext-real set
K36((x - (h / 2)),K38((x + (h / 2)))) is V11() V12() ext-real set
((x - (h / 2)) - (x + (h / 2))) / 2 is V11() V12() ext-real Element of REAL
K37(((x - (h / 2)) - (x + (h / 2))),K39(2)) is V11() V12() ext-real set
sin (((x - (h / 2)) - (x + (h / 2))) / 2) is V11() V12() ext-real Element of REAL
sin . (((x - (h / 2)) - (x + (h / 2))) / 2) is V11() V12() ext-real Element of REAL
(sin (((x - (h / 2)) + (x + (h / 2))) / 2)) * (sin (((x - (h / 2)) - (x + (h / 2))) / 2)) is V11() V12() ext-real Element of REAL
2 * ((sin (((x - (h / 2)) + (x + (h / 2))) / 2)) * (sin (((x - (h / 2)) - (x + (h / 2))) / 2))) is V11() V12() ext-real Element of REAL
- (2 * ((sin (((x - (h / 2)) + (x + (h / 2))) / 2)) * (sin (((x - (h / 2)) - (x + (h / 2))) / 2)))) is V11() V12() ext-real Element of REAL
(- (2 * ((sin (((x - (h / 2)) + (x + (h / 2))) / 2)) * (sin (((x - (h / 2)) - (x + (h / 2))) / 2))))) * ((cos (x - (h / 2))) + (cos (x + (h / 2)))) is V11() V12() ext-real Element of REAL
((- (2 * ((sin (((x - (h / 2)) + (x + (h / 2))) / 2)) * (sin (((x - (h / 2)) - (x + (h / 2))) / 2))))) * ((cos (x - (h / 2))) + (cos (x + (h / 2))))) / (((cos (2 * x)) + (cos h)) ^2) is V11() V12() ext-real Element of REAL
K37(((- (2 * ((sin (((x - (h / 2)) + (x + (h / 2))) / 2)) * (sin (((x - (h / 2)) - (x + (h / 2))) / 2))))) * ((cos (x - (h / 2))) + (cos (x + (h / 2))))),K39((((cos (2 * x)) + (cos h)) ^2))) is V11() V12() ext-real set
4 * (((- (2 * ((sin (((x - (h / 2)) + (x + (h / 2))) / 2)) * (sin (((x - (h / 2)) - (x + (h / 2))) / 2))))) * ((cos (x - (h / 2))) + (cos (x + (h / 2))))) / (((cos (2 * x)) + (cos h)) ^2)) is V11() V12() ext-real Element of REAL
(2 * x) / 2 is V11() V12() ext-real Element of REAL
K37((2 * x),K39(2)) is V11() V12() ext-real set
sin ((2 * x) / 2) is V11() V12() ext-real Element of REAL
sin . ((2 * x) / 2) is V11() V12() ext-real Element of REAL
(sin ((2 * x) / 2)) * (sin ((- h) / 2)) is V11() V12() ext-real Element of REAL
2 * ((sin ((2 * x) / 2)) * (sin ((- h) / 2))) is V11() V12() ext-real Element of REAL
- (2 * ((sin ((2 * x) / 2)) * (sin ((- h) / 2)))) is V11() V12() ext-real Element of REAL
cos ((2 * x) / 2) is V11() V12() ext-real Element of REAL
cos . ((2 * x) / 2) is V11() V12() ext-real Element of REAL
(cos ((2 * x) / 2)) * (cos ((- h) / 2)) is V11() V12() ext-real Element of REAL
2 * ((cos ((2 * x) / 2)) * (cos ((- h) / 2))) is V11() V12() ext-real Element of REAL
(- (2 * ((sin ((2 * x) / 2)) * (sin ((- h) / 2))))) * (2 * ((cos ((2 * x) / 2)) * (cos ((- h) / 2)))) is V11() V12() ext-real Element of REAL
((- (2 * ((sin ((2 * x) / 2)) * (sin ((- h) / 2))))) * (2 * ((cos ((2 * x) / 2)) * (cos ((- h) / 2))))) / (((cos (2 * x)) + (cos h)) ^2) is V11() V12() ext-real Element of REAL
K37(((- (2 * ((sin ((2 * x) / 2)) * (sin ((- h) / 2))))) * (2 * ((cos ((2 * x) / 2)) * (cos ((- h) / 2))))),K39((((cos (2 * x)) + (cos h)) ^2))) is V11() V12() ext-real set
4 * (((- (2 * ((sin ((2 * x) / 2)) * (sin ((- h) / 2))))) * (2 * ((cos ((2 * x) / 2)) * (cos ((- h) / 2))))) / (((cos (2 * x)) + (cos h)) ^2)) is V11() V12() ext-real Element of REAL
tan (#) sin is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
x is V11() V12() ext-real Element of REAL
cos x is V11() V12() ext-real Element of REAL
cos . x is V11() V12() ext-real Element of REAL
1 / (cos x) is V11() V12() ext-real Element of REAL
K39((cos x)) is V11() V12() ext-real set
K37(1,K39((cos x))) is V11() V12() ext-real set
(1 / (cos x)) - (cos x) is V11() V12() ext-real Element of REAL
K38((cos x)) is V11() V12() ext-real set
K36((1 / (cos x)),K38((cos x))) is V11() V12() ext-real set
h is V11() V12() ext-real Element of REAL
[!(tan (#) sin),x,h!] is V11() V12() ext-real Element of REAL
(tan (#) sin) . x is V11() V12() ext-real Element of REAL
(tan (#) sin) . h is V11() V12() ext-real Element of REAL
((tan (#) sin) . x) - ((tan (#) sin) . h) is V11() V12() ext-real Element of REAL
K38(((tan (#) sin) . h)) is V11() V12() ext-real set
K36(((tan (#) sin) . x),K38(((tan (#) sin) . h))) is V11() V12() ext-real set
K40(x,h) is V11() V12() ext-real set
K38(h) is V11() V12() ext-real set
K36(x,K38(h)) is V11() V12() ext-real set
(((tan (#) sin) . x) - ((tan (#) sin) . h)) / K40(x,h) is V11() V12() ext-real Element of REAL
K39(K40(x,h)) is V11() V12() ext-real set
K37((((tan (#) sin) . x) - ((tan (#) sin) . h)),K39(K40(x,h))) is V11() V12() ext-real set
cos h is V11() V12() ext-real Element of REAL
cos . h is V11() V12() ext-real Element of REAL
1 / (cos h) is V11() V12() ext-real Element of REAL
K39((cos h)) is V11() V12() ext-real set
K37(1,K39((cos h))) is V11() V12() ext-real set
((1 / (cos x)) - (cos x)) - (1 / (cos h)) is V11() V12() ext-real Element of REAL
K38((1 / (cos h))) is V11() V12() ext-real set
K36(((1 / (cos x)) - (cos x)),K38((1 / (cos h)))) is V11() V12() ext-real set
(((1 / (cos x)) - (cos x)) - (1 / (cos h))) + (cos h) is V11() V12() ext-real Element of REAL
x - h is V11() V12() ext-real Element of REAL
((((1 / (cos x)) - (cos x)) - (1 / (cos h))) + (cos h)) / (x - h) is V11() V12() ext-real Element of REAL
K39((x - h)) is V11() V12() ext-real set
K37(((((1 / (cos x)) - (cos x)) - (1 / (cos h))) + (cos h)),K39((x - h))) is V11() V12() ext-real set
tan . x is V11() V12() ext-real Element of REAL
sin . x is V11() V12() ext-real Element of REAL
(tan . x) * (sin . x) is V11() V12() ext-real Element of REAL
((tan . x) * (sin . x)) - ((tan (#) sin) . h) is V11() V12() ext-real Element of REAL
K36(((tan . x) * (sin . x)),K38(((tan (#) sin) . h))) is V11() V12() ext-real set
(((tan . x) * (sin . x)) - ((tan (#) sin) . h)) / (x - h) is V11() V12() ext-real Element of REAL
K37((((tan . x) * (sin . x)) - ((tan (#) sin) . h)),K39((x - h))) is V11() V12() ext-real set
tan . h is V11() V12() ext-real Element of REAL
sin . h is V11() V12() ext-real Element of REAL
(tan . h) * (sin . h) is V11() V12() ext-real Element of REAL
((tan . x) * (sin . x)) - ((tan . h) * (sin . h)) is V11() V12() ext-real Element of REAL
K38(((tan . h) * (sin . h))) is V11() V12() ext-real set
K36(((tan . x) * (sin . x)),K38(((tan . h) * (sin . h)))) is V11() V12() ext-real set
(((tan . x) * (sin . x)) - ((tan . h) * (sin . h))) / (x - h) is V11() V12() ext-real Element of REAL
K37((((tan . x) * (sin . x)) - ((tan . h) * (sin . h))),K39((x - h))) is V11() V12() ext-real set
cos . x is V11() V12() ext-real Element of REAL
(cos . x) " is V11() V12() ext-real Element of REAL
(sin . x) * ((cos . x) ") is V11() V12() ext-real Element of REAL
((sin . x) * ((cos . x) ")) * (sin . x) is V11() V12() ext-real Element of REAL
(((sin . x) * ((cos . x) ")) * (sin . x)) - ((tan . h) * (sin . h)) is V11() V12() ext-real Element of REAL
K36((((sin . x) * ((cos . x) ")) * (sin . x)),K38(((tan . h) * (sin . h)))) is V11() V12() ext-real set
((((sin . x) * ((cos . x) ")) * (sin . x)) - ((tan . h) * (sin . h))) / (x - h) is V11() V12() ext-real Element of REAL
K37(((((sin . x) * ((cos . x) ")) * (sin . x)) - ((tan . h) * (sin . h))),K39((x - h))) is V11() V12() ext-real set
sin x is V11() V12() ext-real Element of REAL
sin . x is V11() V12() ext-real Element of REAL
(sin x) / (cos x) is V11() V12() ext-real Element of REAL
K37((sin x),K39((cos x))) is V11() V12() ext-real set
((sin x) / (cos x)) * (sin x) is V11() V12() ext-real Element of REAL
sin h is V11() V12() ext-real Element of REAL
sin . h is V11() V12() ext-real Element of REAL
(sin h) / (cos h) is V11() V12() ext-real Element of REAL
K37((sin h),K39((cos h))) is V11() V12() ext-real set
((sin h) / (cos h)) * (sin h) is V11() V12() ext-real Element of REAL
(((sin x) / (cos x)) * (sin x)) - (((sin h) / (cos h)) * (sin h)) is V11() V12() ext-real Element of REAL
K38((((sin h) / (cos h)) * (sin h))) is V11() V12() ext-real set
K36((((sin x) / (cos x)) * (sin x)),K38((((sin h) / (cos h)) * (sin h)))) is V11() V12() ext-real set
((((sin x) / (cos x)) * (sin x)) - (((sin h) / (cos h)) * (sin h))) / (x - h) is V11() V12() ext-real Element of REAL
K37(((((sin x) / (cos x)) * (sin x)) - (((sin h) / (cos h)) * (sin h))),K39((x - h))) is V11() V12() ext-real set
(cos x) / (sin x) is V11() V12() ext-real Element of REAL
K39((sin x)) is V11() V12() ext-real set
K37((cos x),K39((sin x))) is V11() V12() ext-real set
(sin x) / ((cos x) / (sin x)) is V11() V12() ext-real Element of REAL
K39(((cos x) / (sin x))) is V11() V12() ext-real set
K37((sin x),K39(((cos x) / (sin x)))) is V11() V12() ext-real set
((sin x) / ((cos x) / (sin x))) - (((sin h) / (cos h)) * (sin h)) is V11() V12() ext-real Element of REAL
K36(((sin x) / ((cos x) / (sin x))),K38((((sin h) / (cos h)) * (sin h)))) is V11() V12() ext-real set
(((sin x) / ((cos x) / (sin x))) - (((sin h) / (cos h)) * (sin h))) / (x - h) is V11() V12() ext-real Element of REAL
K37((((sin x) / ((cos x) / (sin x))) - (((sin h) / (cos h)) * (sin h))),K39((x - h))) is V11() V12() ext-real set
(cos h) / (sin h) is V11() V12() ext-real Element of REAL
K39((sin h)) is V11() V12() ext-real set
K37((cos h),K39((sin h))) is V11() V12() ext-real set
(sin h) / ((cos h) / (sin h)) is V11() V12() ext-real Element of REAL
K39(((cos h) / (sin h))) is V11() V12() ext-real set
K37((sin h),K39(((cos h) / (sin h)))) is V11() V12() ext-real set
((sin x) / ((cos x) / (sin x))) - ((sin h) / ((cos h) / (sin h))) is V11() V12() ext-real Element of REAL
K38(((sin h) / ((cos h) / (sin h)))) is V11() V12() ext-real set
K36(((sin x) / ((cos x) / (sin x))),K38(((sin h) / ((cos h) / (sin h))))) is V11() V12() ext-real set
(((sin x) / ((cos x) / (sin x))) - ((sin h) / ((cos h) / (sin h)))) / (x - h) is V11() V12() ext-real Element of REAL
K37((((sin x) / ((cos x) / (sin x))) - ((sin h) / ((cos h) / (sin h)))),K39((x - h))) is V11() V12() ext-real set
(sin x) * (sin x) is V11() V12() ext-real Element of REAL
((sin x) * (sin x)) / (cos x) is V11() V12() ext-real Element of REAL
K37(((sin x) * (sin x)),K39((cos x))) is V11() V12() ext-real set
(((sin x) * (sin x)) / (cos x)) - ((sin h) / ((cos h) / (sin h))) is V11() V12() ext-real Element of REAL
K36((((sin x) * (sin x)) / (cos x)),K38(((sin h) / ((cos h) / (sin h))))) is V11() V12() ext-real set
((((sin x) * (sin x)) / (cos x)) - ((sin h) / ((cos h) / (sin h)))) / (x - h) is V11() V12() ext-real Element of REAL
K37(((((sin x) * (sin x)) / (cos x)) - ((sin h) / ((cos h) / (sin h)))),K39((x - h))) is V11() V12() ext-real set
(sin h) * (sin h) is V11() V12() ext-real Element of REAL
((sin h) * (sin h)) / (cos h) is V11() V12() ext-real Element of REAL
K37(((sin h) * (sin h)),K39((cos h))) is V11() V12() ext-real set
(((sin x) * (sin x)) / (cos x)) - (((sin h) * (sin h)) / (cos h)) is V11() V12() ext-real Element of REAL
K38((((sin h) * (sin h)) / (cos h))) is V11() V12() ext-real set
K36((((sin x) * (sin x)) / (cos x)),K38((((sin h) * (sin h)) / (cos h)))) is V11() V12() ext-real set
((((sin x) * (sin x)) / (cos x)) - (((sin h) * (sin h)) / (cos h))) / (x - h) is V11() V12() ext-real Element of REAL
K37(((((sin x) * (sin x)) / (cos x)) - (((sin h) * (sin h)) / (cos h))),K39((x - h))) is V11() V12() ext-real set
(cos x) * (cos x) is V11() V12() ext-real Element of REAL
1 - ((cos x) * (cos x)) is V11() V12() ext-real Element of REAL
K38(((cos x) * (cos x))) is V11() V12() ext-real set
K36(1,K38(((cos x) * (cos x)))) is V11() V12() ext-real set
(1 - ((cos x) * (cos x))) / (cos x) is V11() V12() ext-real Element of REAL
K37((1 - ((cos x) * (cos x))),K39((cos x))) is V11() V12() ext-real set
((1 - ((cos x) * (cos x))) / (cos x)) - (((sin h) * (sin h)) / (cos h)) is V11() V12() ext-real Element of REAL
K36(((1 - ((cos x) * (cos x))) / (cos x)),K38((((sin h) * (sin h)) / (cos h)))) is V11() V12() ext-real set
(((1 - ((cos x) * (cos x))) / (cos x)) - (((sin h) * (sin h)) / (cos h))) / (x - h) is V11() V12() ext-real Element of REAL
K37((((1 - ((cos x) * (cos x))) / (cos x)) - (((sin h) * (sin h)) / (cos h))),K39((x - h))) is V11() V12() ext-real set
((cos x) * (cos x)) / (cos x) is V11() V12() ext-real Element of REAL
K37(((cos x) * (cos x)),K39((cos x))) is V11() V12() ext-real set
(1 / (cos x)) - (((cos x) * (cos x)) / (cos x)) is V11() V12() ext-real Element of REAL
K38((((cos x) * (cos x)) / (cos x))) is V11() V12() ext-real set
K36((1 / (cos x)),K38((((cos x) * (cos x)) / (cos x)))) is V11() V12() ext-real set
(cos h) * (cos h) is V11() V12() ext-real Element of REAL
1 - ((cos h) * (cos h)) is V11() V12() ext-real Element of REAL
K38(((cos h) * (cos h))) is V11() V12() ext-real set
K36(1,K38(((cos h) * (cos h)))) is V11() V12() ext-real set
(1 - ((cos h) * (cos h))) / (cos h) is V11() V12() ext-real Element of REAL
K37((1 - ((cos h) * (cos h))),K39((cos h))) is V11() V12() ext-real set
((1 / (cos x)) - (((cos x) * (cos x)) / (cos x))) - ((1 - ((cos h) * (cos h))) / (cos h)) is V11() V12() ext-real Element of REAL
K38(((1 - ((cos h) * (cos h))) / (cos h))) is V11() V12() ext-real set
K36(((1 / (cos x)) - (((cos x) * (cos x)) / (cos x))),K38(((1 - ((cos h) * (cos h))) / (cos h)))) is V11() V12() ext-real set
(((1 / (cos x)) - (((cos x) * (cos x)) / (cos x))) - ((1 - ((cos h) * (cos h))) / (cos h))) / (x - h) is V11() V12() ext-real Element of REAL
K37((((1 / (cos x)) - (((cos x) * (cos x)) / (cos x))) - ((1 - ((cos h) * (cos h))) / (cos h))),K39((x - h))) is V11() V12() ext-real set
((cos h) * (cos h)) / (cos h) is V11() V12() ext-real Element of REAL
K37(((cos h) * (cos h)),K39((cos h))) is V11() V12() ext-real set
(1 / (cos h)) - (((cos h) * (cos h)) / (cos h)) is V11() V12() ext-real Element of REAL
K38((((cos h) * (cos h)) / (cos h))) is V11() V12() ext-real set
K36((1 / (cos h)),K38((((cos h) * (cos h)) / (cos h)))) is V11() V12() ext-real set
((1 / (cos x)) - (cos x)) - ((1 / (cos h)) - (((cos h) * (cos h)) / (cos h))) is V11() V12() ext-real Element of REAL
K38(((1 / (cos h)) - (((cos h) * (cos h)) / (cos h)))) is V11() V12() ext-real set
K36(((1 / (cos x)) - (cos x)),K38(((1 / (cos h)) - (((cos h) * (cos h)) / (cos h))))) is V11() V12() ext-real set
(((1 / (cos x)) - (cos x)) - ((1 / (cos h)) - (((cos h) * (cos h)) / (cos h)))) / (x - h) is V11() V12() ext-real Element of REAL
K37((((1 / (cos x)) - (cos x)) - ((1 / (cos h)) - (((cos h) * (cos h)) / (cos h)))),K39((x - h))) is V11() V12() ext-real set
(1 / (cos h)) - (cos h) is V11() V12() ext-real Element of REAL
K38((cos h)) is V11() V12() ext-real set
K36((1 / (cos h)),K38((cos h))) is V11() V12() ext-real set
((1 / (cos x)) - (cos x)) - ((1 / (cos h)) - (cos h)) is V11() V12() ext-real Element of REAL
K38(((1 / (cos h)) - (cos h))) is V11() V12() ext-real set
K36(((1 / (cos x)) - (cos x)),K38(((1 / (cos h)) - (cos h)))) is V11() V12() ext-real set
(((1 / (cos x)) - (cos x)) - ((1 / (cos h)) - (cos h))) / (x - h) is V11() V12() ext-real Element of REAL
K37((((1 / (cos x)) - (cos x)) - ((1 / (cos h)) - (cos h))),K39((x - h))) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
cos x is V11() V12() ext-real Element of REAL
cos . x is V11() V12() ext-real Element of REAL
1 / (cos x) is V11() V12() ext-real Element of REAL
K39((cos x)) is V11() V12() ext-real set
K37(1,K39((cos x))) is V11() V12() ext-real set
h is V11() V12() ext-real Element of REAL
x + h is V11() V12() ext-real Element of REAL
cos (x + h) is V11() V12() ext-real Element of REAL
cos . (x + h) is V11() V12() ext-real Element of REAL
1 / (cos (x + h)) is V11() V12() ext-real Element of REAL
K39((cos (x + h))) is V11() V12() ext-real set
K37(1,K39((cos (x + h)))) is V11() V12() ext-real set
(1 / (cos (x + h))) - (cos (x + h)) is V11() V12() ext-real Element of REAL
K38((cos (x + h))) is V11() V12() ext-real set
K36((1 / (cos (x + h))),K38((cos (x + h)))) is V11() V12() ext-real set
((1 / (cos (x + h))) - (cos (x + h))) - (1 / (cos x)) is V11() V12() ext-real Element of REAL
K38((1 / (cos x))) is V11() V12() ext-real set
K36(((1 / (cos (x + h))) - (cos (x + h))),K38((1 / (cos x)))) is V11() V12() ext-real set
(((1 / (cos (x + h))) - (cos (x + h))) - (1 / (cos x))) + (cos x) is V11() V12() ext-real Element of REAL
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
fD (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (f,h)) - f is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(fD (f,h)) . x is V11() V12() ext-real Element of REAL
f . (x + h) is V11() V12() ext-real Element of REAL
f . x is V11() V12() ext-real Element of REAL
(f . (x + h)) - (f . x) is V11() V12() ext-real Element of REAL
K38((f . x)) is V11() V12() ext-real set
K36((f . (x + h)),K38((f . x))) is V11() V12() ext-real set
(tan (#) sin) . (x + h) is V11() V12() ext-real Element of REAL
((tan (#) sin) . (x + h)) - (f . x) is V11() V12() ext-real Element of REAL
K36(((tan (#) sin) . (x + h)),K38((f . x))) is V11() V12() ext-real set
(tan (#) sin) . x is V11() V12() ext-real Element of REAL
((tan (#) sin) . (x + h)) - ((tan (#) sin) . x) is V11() V12() ext-real Element of REAL
K38(((tan (#) sin) . x)) is V11() V12() ext-real set
K36(((tan (#) sin) . (x + h)),K38(((tan (#) sin) . x))) is V11() V12() ext-real set
tan . (x + h) is V11() V12() ext-real Element of REAL
sin . (x + h) is V11() V12() ext-real Element of REAL
(tan . (x + h)) * (sin . (x + h)) is V11() V12() ext-real Element of REAL
((tan . (x + h)) * (sin . (x + h))) - ((tan (#) sin) . x) is V11() V12() ext-real Element of REAL
K36(((tan . (x + h)) * (sin . (x + h))),K38(((tan (#) sin) . x))) is V11() V12() ext-real set
tan . x is V11() V12() ext-real Element of REAL
sin . x is V11() V12() ext-real Element of REAL
(tan . x) * (sin . x) is V11() V12() ext-real Element of REAL
((tan . (x + h)) * (sin . (x + h))) - ((tan . x) * (sin . x)) is V11() V12() ext-real Element of REAL
K38(((tan . x) * (sin . x))) is V11() V12() ext-real set
K36(((tan . (x + h)) * (sin . (x + h))),K38(((tan . x) * (sin . x)))) is V11() V12() ext-real set
cos . (x + h) is V11() V12() ext-real Element of REAL
(cos . (x + h)) " is V11() V12() ext-real Element of REAL
(sin . (x + h)) * ((cos . (x + h)) ") is V11() V12() ext-real Element of REAL
((sin . (x + h)) * ((cos . (x + h)) ")) * (sin . (x + h)) is V11() V12() ext-real Element of REAL
(((sin . (x + h)) * ((cos . (x + h)) ")) * (sin . (x + h))) - ((tan . x) * (sin . x)) is V11() V12() ext-real Element of REAL
K36((((sin . (x + h)) * ((cos . (x + h)) ")) * (sin . (x + h))),K38(((tan . x) * (sin . x)))) is V11() V12() ext-real set
sin (x + h) is V11() V12() ext-real Element of REAL
sin . (x + h) is V11() V12() ext-real Element of REAL
(sin (x + h)) / (cos (x + h)) is V11() V12() ext-real Element of REAL
K37((sin (x + h)),K39((cos (x + h)))) is V11() V12() ext-real set
((sin (x + h)) / (cos (x + h))) * (sin (x + h)) is V11() V12() ext-real Element of REAL
sin x is V11() V12() ext-real Element of REAL
sin . x is V11() V12() ext-real Element of REAL
(sin x) / (cos x) is V11() V12() ext-real Element of REAL
K37((sin x),K39((cos x))) is V11() V12() ext-real set
((sin x) / (cos x)) * (sin x) is V11() V12() ext-real Element of REAL
(((sin (x + h)) / (cos (x + h))) * (sin (x + h))) - (((sin x) / (cos x)) * (sin x)) is V11() V12() ext-real Element of REAL
K38((((sin x) / (cos x)) * (sin x))) is V11() V12() ext-real set
K36((((sin (x + h)) / (cos (x + h))) * (sin (x + h))),K38((((sin x) / (cos x)) * (sin x)))) is V11() V12() ext-real set
(cos (x + h)) / (sin (x + h)) is V11() V12() ext-real Element of REAL
K39((sin (x + h))) is V11() V12() ext-real set
K37((cos (x + h)),K39((sin (x + h)))) is V11() V12() ext-real set
(sin (x + h)) / ((cos (x + h)) / (sin (x + h))) is V11() V12() ext-real Element of REAL
K39(((cos (x + h)) / (sin (x + h)))) is V11() V12() ext-real set
K37((sin (x + h)),K39(((cos (x + h)) / (sin (x + h))))) is V11() V12() ext-real set
((sin (x + h)) / ((cos (x + h)) / (sin (x + h)))) - (((sin x) / (cos x)) * (sin x)) is V11() V12() ext-real Element of REAL
K36(((sin (x + h)) / ((cos (x + h)) / (sin (x + h)))),K38((((sin x) / (cos x)) * (sin x)))) is V11() V12() ext-real set
(cos x) / (sin x) is V11() V12() ext-real Element of REAL
K39((sin x)) is V11() V12() ext-real set
K37((cos x),K39((sin x))) is V11() V12() ext-real set
(sin x) / ((cos x) / (sin x)) is V11() V12() ext-real Element of REAL
K39(((cos x) / (sin x))) is V11() V12() ext-real set
K37((sin x),K39(((cos x) / (sin x)))) is V11() V12() ext-real set
((sin (x + h)) / ((cos (x + h)) / (sin (x + h)))) - ((sin x) / ((cos x) / (sin x))) is V11() V12() ext-real Element of REAL
K38(((sin x) / ((cos x) / (sin x)))) is V11() V12() ext-real set
K36(((sin (x + h)) / ((cos (x + h)) / (sin (x + h)))),K38(((sin x) / ((cos x) / (sin x))))) is V11() V12() ext-real set
(sin (x + h)) * (sin (x + h)) is V11() V12() ext-real Element of REAL
((sin (x + h)) * (sin (x + h))) / (cos (x + h)) is V11() V12() ext-real Element of REAL
K37(((sin (x + h)) * (sin (x + h))),K39((cos (x + h)))) is V11() V12() ext-real set
(((sin (x + h)) * (sin (x + h))) / (cos (x + h))) - ((sin x) / ((cos x) / (sin x))) is V11() V12() ext-real Element of REAL
K36((((sin (x + h)) * (sin (x + h))) / (cos (x + h))),K38(((sin x) / ((cos x) / (sin x))))) is V11() V12() ext-real set
(sin x) * (sin x) is V11() V12() ext-real Element of REAL
((sin x) * (sin x)) / (cos x) is V11() V12() ext-real Element of REAL
K37(((sin x) * (sin x)),K39((cos x))) is V11() V12() ext-real set
(((sin (x + h)) * (sin (x + h))) / (cos (x + h))) - (((sin x) * (sin x)) / (cos x)) is V11() V12() ext-real Element of REAL
K38((((sin x) * (sin x)) / (cos x))) is V11() V12() ext-real set
K36((((sin (x + h)) * (sin (x + h))) / (cos (x + h))),K38((((sin x) * (sin x)) / (cos x)))) is V11() V12() ext-real set
(cos (x + h)) * (cos (x + h)) is V11() V12() ext-real Element of REAL
1 - ((cos (x + h)) * (cos (x + h))) is V11() V12() ext-real Element of REAL
K38(((cos (x + h)) * (cos (x + h)))) is V11() V12() ext-real set
K36(1,K38(((cos (x + h)) * (cos (x + h))))) is V11() V12() ext-real set
(1 - ((cos (x + h)) * (cos (x + h)))) / (cos (x + h)) is V11() V12() ext-real Element of REAL
K37((1 - ((cos (x + h)) * (cos (x + h)))),K39((cos (x + h)))) is V11() V12() ext-real set
((1 - ((cos (x + h)) * (cos (x + h)))) / (cos (x + h))) - (((sin x) * (sin x)) / (cos x)) is V11() V12() ext-real Element of REAL
K36(((1 - ((cos (x + h)) * (cos (x + h)))) / (cos (x + h))),K38((((sin x) * (sin x)) / (cos x)))) is V11() V12() ext-real set
((cos (x + h)) * (cos (x + h))) / (cos (x + h)) is V11() V12() ext-real Element of REAL
K37(((cos (x + h)) * (cos (x + h))),K39((cos (x + h)))) is V11() V12() ext-real set
(1 / (cos (x + h))) - (((cos (x + h)) * (cos (x + h))) / (cos (x + h))) is V11() V12() ext-real Element of REAL
K38((((cos (x + h)) * (cos (x + h))) / (cos (x + h)))) is V11() V12() ext-real set
K36((1 / (cos (x + h))),K38((((cos (x + h)) * (cos (x + h))) / (cos (x + h))))) is V11() V12() ext-real set
(cos x) * (cos x) is V11() V12() ext-real Element of REAL
1 - ((cos x) * (cos x)) is V11() V12() ext-real Element of REAL
K38(((cos x) * (cos x))) is V11() V12() ext-real set
K36(1,K38(((cos x) * (cos x)))) is V11() V12() ext-real set
(1 - ((cos x) * (cos x))) / (cos x) is V11() V12() ext-real Element of REAL
K37((1 - ((cos x) * (cos x))),K39((cos x))) is V11() V12() ext-real set
((1 / (cos (x + h))) - (((cos (x + h)) * (cos (x + h))) / (cos (x + h)))) - ((1 - ((cos x) * (cos x))) / (cos x)) is V11() V12() ext-real Element of REAL
K38(((1 - ((cos x) * (cos x))) / (cos x))) is V11() V12() ext-real set
K36(((1 / (cos (x + h))) - (((cos (x + h)) * (cos (x + h))) / (cos (x + h)))),K38(((1 - ((cos x) * (cos x))) / (cos x)))) is V11() V12() ext-real set
((cos x) * (cos x)) / (cos x) is V11() V12() ext-real Element of REAL
K37(((cos x) * (cos x)),K39((cos x))) is V11() V12() ext-real set
(1 / (cos x)) - (((cos x) * (cos x)) / (cos x)) is V11() V12() ext-real Element of REAL
K38((((cos x) * (cos x)) / (cos x))) is V11() V12() ext-real set
K36((1 / (cos x)),K38((((cos x) * (cos x)) / (cos x)))) is V11() V12() ext-real set
((1 / (cos (x + h))) - (cos (x + h))) - ((1 / (cos x)) - (((cos x) * (cos x)) / (cos x))) is V11() V12() ext-real Element of REAL
K38(((1 / (cos x)) - (((cos x) * (cos x)) / (cos x)))) is V11() V12() ext-real set
K36(((1 / (cos (x + h))) - (cos (x + h))),K38(((1 / (cos x)) - (((cos x) * (cos x)) / (cos x))))) is V11() V12() ext-real set
(1 / (cos x)) - (cos x) is V11() V12() ext-real Element of REAL
K38((cos x)) is V11() V12() ext-real set
K36((1 / (cos x)),K38((cos x))) is V11() V12() ext-real set
((1 / (cos (x + h))) - (cos (x + h))) - ((1 / (cos x)) - (cos x)) is V11() V12() ext-real Element of REAL
K38(((1 / (cos x)) - (cos x))) is V11() V12() ext-real set
K36(((1 / (cos (x + h))) - (cos (x + h))),K38(((1 / (cos x)) - (cos x)))) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
cos x is V11() V12() ext-real Element of REAL
cos . x is V11() V12() ext-real Element of REAL
1 / (cos x) is V11() V12() ext-real Element of REAL
K39((cos x)) is V11() V12() ext-real set
K37(1,K39((cos x))) is V11() V12() ext-real set
(1 / (cos x)) - (cos x) is V11() V12() ext-real Element of REAL
K38((cos x)) is V11() V12() ext-real set
K36((1 / (cos x)),K38((cos x))) is V11() V12() ext-real set
h is V11() V12() ext-real Element of REAL
x - h is V11() V12() ext-real Element of REAL
K38(h) is V11() V12() ext-real set
K36(x,K38(h)) is V11() V12() ext-real set
cos (x - h) is V11() V12() ext-real Element of REAL
cos . (x - h) is V11() V12() ext-real Element of REAL
1 / (cos (x - h)) is V11() V12() ext-real Element of REAL
K39((cos (x - h))) is V11() V12() ext-real set
K37(1,K39((cos (x - h)))) is V11() V12() ext-real set
((1 / (cos x)) - (cos x)) - (1 / (cos (x - h))) is V11() V12() ext-real Element of REAL
K38((1 / (cos (x - h)))) is V11() V12() ext-real set
K36(((1 / (cos x)) - (cos x)),K38((1 / (cos (x - h))))) is V11() V12() ext-real set
(((1 / (cos x)) - (cos x)) - (1 / (cos (x - h)))) + (cos (x - h)) is V11() V12() ext-real Element of REAL
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
bD (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (f,K38(h)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
f - (Shift (f,K38(h))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(bD (f,h)) . x is V11() V12() ext-real Element of REAL
f . x is V11() V12() ext-real Element of REAL
f . (x - h) is V11() V12() ext-real Element of REAL
(f . x) - (f . (x - h)) is V11() V12() ext-real Element of REAL
K38((f . (x - h))) is V11() V12() ext-real set
K36((f . x),K38((f . (x - h)))) is V11() V12() ext-real set
(tan (#) sin) . x is V11() V12() ext-real Element of REAL
((tan (#) sin) . x) - (f . (x - h)) is V11() V12() ext-real Element of REAL
K36(((tan (#) sin) . x),K38((f . (x - h)))) is V11() V12() ext-real set
(tan (#) sin) . (x - h) is V11() V12() ext-real Element of REAL
((tan (#) sin) . x) - ((tan (#) sin) . (x - h)) is V11() V12() ext-real Element of REAL
K38(((tan (#) sin) . (x - h))) is V11() V12() ext-real set
K36(((tan (#) sin) . x),K38(((tan (#) sin) . (x - h)))) is V11() V12() ext-real set
tan . x is V11() V12() ext-real Element of REAL
sin . x is V11() V12() ext-real Element of REAL
(tan . x) * (sin . x) is V11() V12() ext-real Element of REAL
((tan . x) * (sin . x)) - ((tan (#) sin) . (x - h)) is V11() V12() ext-real Element of REAL
K36(((tan . x) * (sin . x)),K38(((tan (#) sin) . (x - h)))) is V11() V12() ext-real set
tan . (x - h) is V11() V12() ext-real Element of REAL
sin . (x - h) is V11() V12() ext-real Element of REAL
(tan . (x - h)) * (sin . (x - h)) is V11() V12() ext-real Element of REAL
((tan . x) * (sin . x)) - ((tan . (x - h)) * (sin . (x - h))) is V11() V12() ext-real Element of REAL
K38(((tan . (x - h)) * (sin . (x - h)))) is V11() V12() ext-real set
K36(((tan . x) * (sin . x)),K38(((tan . (x - h)) * (sin . (x - h))))) is V11() V12() ext-real set
cos . x is V11() V12() ext-real Element of REAL
(cos . x) " is V11() V12() ext-real Element of REAL
(sin . x) * ((cos . x) ") is V11() V12() ext-real Element of REAL
((sin . x) * ((cos . x) ")) * (sin . x) is V11() V12() ext-real Element of REAL
(((sin . x) * ((cos . x) ")) * (sin . x)) - ((tan . (x - h)) * (sin . (x - h))) is V11() V12() ext-real Element of REAL
K36((((sin . x) * ((cos . x) ")) * (sin . x)),K38(((tan . (x - h)) * (sin . (x - h))))) is V11() V12() ext-real set
sin x is V11() V12() ext-real Element of REAL
sin . x is V11() V12() ext-real Element of REAL
(sin x) / (cos x) is V11() V12() ext-real Element of REAL
K37((sin x),K39((cos x))) is V11() V12() ext-real set
((sin x) / (cos x)) * (sin x) is V11() V12() ext-real Element of REAL
sin (x - h) is V11() V12() ext-real Element of REAL
sin . (x - h) is V11() V12() ext-real Element of REAL
(sin (x - h)) / (cos (x - h)) is V11() V12() ext-real Element of REAL
K37((sin (x - h)),K39((cos (x - h)))) is V11() V12() ext-real set
((sin (x - h)) / (cos (x - h))) * (sin (x - h)) is V11() V12() ext-real Element of REAL
(((sin x) / (cos x)) * (sin x)) - (((sin (x - h)) / (cos (x - h))) * (sin (x - h))) is V11() V12() ext-real Element of REAL
K38((((sin (x - h)) / (cos (x - h))) * (sin (x - h)))) is V11() V12() ext-real set
K36((((sin x) / (cos x)) * (sin x)),K38((((sin (x - h)) / (cos (x - h))) * (sin (x - h))))) is V11() V12() ext-real set
(cos x) / (sin x) is V11() V12() ext-real Element of REAL
K39((sin x)) is V11() V12() ext-real set
K37((cos x),K39((sin x))) is V11() V12() ext-real set
(sin x) / ((cos x) / (sin x)) is V11() V12() ext-real Element of REAL
K39(((cos x) / (sin x))) is V11() V12() ext-real set
K37((sin x),K39(((cos x) / (sin x)))) is V11() V12() ext-real set
((sin x) / ((cos x) / (sin x))) - (((sin (x - h)) / (cos (x - h))) * (sin (x - h))) is V11() V12() ext-real Element of REAL
K36(((sin x) / ((cos x) / (sin x))),K38((((sin (x - h)) / (cos (x - h))) * (sin (x - h))))) is V11() V12() ext-real set
(cos (x - h)) / (sin (x - h)) is V11() V12() ext-real Element of REAL
K39((sin (x - h))) is V11() V12() ext-real set
K37((cos (x - h)),K39((sin (x - h)))) is V11() V12() ext-real set
(sin (x - h)) / ((cos (x - h)) / (sin (x - h))) is V11() V12() ext-real Element of REAL
K39(((cos (x - h)) / (sin (x - h)))) is V11() V12() ext-real set
K37((sin (x - h)),K39(((cos (x - h)) / (sin (x - h))))) is V11() V12() ext-real set
((sin x) / ((cos x) / (sin x))) - ((sin (x - h)) / ((cos (x - h)) / (sin (x - h)))) is V11() V12() ext-real Element of REAL
K38(((sin (x - h)) / ((cos (x - h)) / (sin (x - h))))) is V11() V12() ext-real set
K36(((sin x) / ((cos x) / (sin x))),K38(((sin (x - h)) / ((cos (x - h)) / (sin (x - h)))))) is V11() V12() ext-real set
(sin x) * (sin x) is V11() V12() ext-real Element of REAL
((sin x) * (sin x)) / (cos x) is V11() V12() ext-real Element of REAL
K37(((sin x) * (sin x)),K39((cos x))) is V11() V12() ext-real set
(((sin x) * (sin x)) / (cos x)) - ((sin (x - h)) / ((cos (x - h)) / (sin (x - h)))) is V11() V12() ext-real Element of REAL
K36((((sin x) * (sin x)) / (cos x)),K38(((sin (x - h)) / ((cos (x - h)) / (sin (x - h)))))) is V11() V12() ext-real set
(sin (x - h)) * (sin (x - h)) is V11() V12() ext-real Element of REAL
((sin (x - h)) * (sin (x - h))) / (cos (x - h)) is V11() V12() ext-real Element of REAL
K37(((sin (x - h)) * (sin (x - h))),K39((cos (x - h)))) is V11() V12() ext-real set
(((sin x) * (sin x)) / (cos x)) - (((sin (x - h)) * (sin (x - h))) / (cos (x - h))) is V11() V12() ext-real Element of REAL
K38((((sin (x - h)) * (sin (x - h))) / (cos (x - h)))) is V11() V12() ext-real set
K36((((sin x) * (sin x)) / (cos x)),K38((((sin (x - h)) * (sin (x - h))) / (cos (x - h))))) is V11() V12() ext-real set
(cos x) * (cos x) is V11() V12() ext-real Element of REAL
1 - ((cos x) * (cos x)) is V11() V12() ext-real Element of REAL
K38(((cos x) * (cos x))) is V11() V12() ext-real set
K36(1,K38(((cos x) * (cos x)))) is V11() V12() ext-real set
(1 - ((cos x) * (cos x))) / (cos x) is V11() V12() ext-real Element of REAL
K37((1 - ((cos x) * (cos x))),K39((cos x))) is V11() V12() ext-real set
((1 - ((cos x) * (cos x))) / (cos x)) - (((sin (x - h)) * (sin (x - h))) / (cos (x - h))) is V11() V12() ext-real Element of REAL
K36(((1 - ((cos x) * (cos x))) / (cos x)),K38((((sin (x - h)) * (sin (x - h))) / (cos (x - h))))) is V11() V12() ext-real set
((cos x) * (cos x)) / (cos x) is V11() V12() ext-real Element of REAL
K37(((cos x) * (cos x)),K39((cos x))) is V11() V12() ext-real set
(1 / (cos x)) - (((cos x) * (cos x)) / (cos x)) is V11() V12() ext-real Element of REAL
K38((((cos x) * (cos x)) / (cos x))) is V11() V12() ext-real set
K36((1 / (cos x)),K38((((cos x) * (cos x)) / (cos x)))) is V11() V12() ext-real set
(cos (x - h)) * (cos (x - h)) is V11() V12() ext-real Element of REAL
1 - ((cos (x - h)) * (cos (x - h))) is V11() V12() ext-real Element of REAL
K38(((cos (x - h)) * (cos (x - h)))) is V11() V12() ext-real set
K36(1,K38(((cos (x - h)) * (cos (x - h))))) is V11() V12() ext-real set
(1 - ((cos (x - h)) * (cos (x - h)))) / (cos (x - h)) is V11() V12() ext-real Element of REAL
K37((1 - ((cos (x - h)) * (cos (x - h)))),K39((cos (x - h)))) is V11() V12() ext-real set
((1 / (cos x)) - (((cos x) * (cos x)) / (cos x))) - ((1 - ((cos (x - h)) * (cos (x - h)))) / (cos (x - h))) is V11() V12() ext-real Element of REAL
K38(((1 - ((cos (x - h)) * (cos (x - h)))) / (cos (x - h)))) is V11() V12() ext-real set
K36(((1 / (cos x)) - (((cos x) * (cos x)) / (cos x))),K38(((1 - ((cos (x - h)) * (cos (x - h)))) / (cos (x - h))))) is V11() V12() ext-real set
((cos (x - h)) * (cos (x - h))) / (cos (x - h)) is V11() V12() ext-real Element of REAL
K37(((cos (x - h)) * (cos (x - h))),K39((cos (x - h)))) is V11() V12() ext-real set
(1 / (cos (x - h))) - (((cos (x - h)) * (cos (x - h))) / (cos (x - h))) is V11() V12() ext-real Element of REAL
K38((((cos (x - h)) * (cos (x - h))) / (cos (x - h)))) is V11() V12() ext-real set
K36((1 / (cos (x - h))),K38((((cos (x - h)) * (cos (x - h))) / (cos (x - h))))) is V11() V12() ext-real set
((1 / (cos x)) - (cos x)) - ((1 / (cos (x - h))) - (((cos (x - h)) * (cos (x - h))) / (cos (x - h)))) is V11() V12() ext-real Element of REAL
K38(((1 / (cos (x - h))) - (((cos (x - h)) * (cos (x - h))) / (cos (x - h))))) is V11() V12() ext-real set
K36(((1 / (cos x)) - (cos x)),K38(((1 / (cos (x - h))) - (((cos (x - h)) * (cos (x - h))) / (cos (x - h)))))) is V11() V12() ext-real set
(1 / (cos (x - h))) - (cos (x - h)) is V11() V12() ext-real Element of REAL
K38((cos (x - h))) is V11() V12() ext-real set
K36((1 / (cos (x - h))),K38((cos (x - h)))) is V11() V12() ext-real set
((1 / (cos x)) - (cos x)) - ((1 / (cos (x - h))) - (cos (x - h))) is V11() V12() ext-real Element of REAL
K38(((1 / (cos (x - h))) - (cos (x - h)))) is V11() V12() ext-real set
K36(((1 / (cos x)) - (cos x)),K38(((1 / (cos (x - h))) - (cos (x - h))))) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
h / 2 is V11() V12() ext-real Element of REAL
K37(h,K39(2)) is V11() V12() ext-real set
x + (h / 2) is V11() V12() ext-real Element of REAL
x - (h / 2) is V11() V12() ext-real Element of REAL
K38((h / 2)) is V11() V12() ext-real set
K36(x,K38((h / 2))) is V11() V12() ext-real set
cos (x + (h / 2)) is V11() V12() ext-real Element of REAL
cos . (x + (h / 2)) is V11() V12() ext-real Element of REAL
1 / (cos (x + (h / 2))) is V11() V12() ext-real Element of REAL
K39((cos (x + (h / 2)))) is V11() V12() ext-real set
K37(1,K39((cos (x + (h / 2))))) is V11() V12() ext-real set
(1 / (cos (x + (h / 2)))) - (cos (x + (h / 2))) is V11() V12() ext-real Element of REAL
K38((cos (x + (h / 2)))) is V11() V12() ext-real set
K36((1 / (cos (x + (h / 2)))),K38((cos (x + (h / 2))))) is V11() V12() ext-real set
cos (x - (h / 2)) is V11() V12() ext-real Element of REAL
cos . (x - (h / 2)) is V11() V12() ext-real Element of REAL
1 / (cos (x - (h / 2))) is V11() V12() ext-real Element of REAL
K39((cos (x - (h / 2)))) is V11() V12() ext-real set
K37(1,K39((cos (x - (h / 2))))) is V11() V12() ext-real set
((1 / (cos (x + (h / 2)))) - (cos (x + (h / 2)))) - (1 / (cos (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K38((1 / (cos (x - (h / 2))))) is V11() V12() ext-real set
K36(((1 / (cos (x + (h / 2)))) - (cos (x + (h / 2)))),K38((1 / (cos (x - (h / 2)))))) is V11() V12() ext-real set
(((1 / (cos (x + (h / 2)))) - (cos (x + (h / 2)))) - (1 / (cos (x - (h / 2))))) + (cos (x - (h / 2))) is V11() V12() ext-real Element of REAL
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
cD (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
h / 2 is V11() V12() ext-real Element of REAL
Shift (f,(h / 2)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
- (h / 2) is V11() V12() ext-real Element of REAL
Shift (f,(- (h / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (f,(h / 2))) - (Shift (f,(- (h / 2)))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(cD (f,h)) . x is V11() V12() ext-real Element of REAL
f . (x + (h / 2)) is V11() V12() ext-real Element of REAL
f . (x - (h / 2)) is V11() V12() ext-real Element of REAL
(f . (x + (h / 2))) - (f . (x - (h / 2))) is V11() V12() ext-real Element of REAL
K38((f . (x - (h / 2)))) is V11() V12() ext-real set
K36((f . (x + (h / 2))),K38((f . (x - (h / 2))))) is V11() V12() ext-real set
(tan (#) sin) . (x + (h / 2)) is V11() V12() ext-real Element of REAL
((tan (#) sin) . (x + (h / 2))) - (f . (x - (h / 2))) is V11() V12() ext-real Element of REAL
K36(((tan (#) sin) . (x + (h / 2))),K38((f . (x - (h / 2))))) is V11() V12() ext-real set
(tan (#) sin) . (x - (h / 2)) is V11() V12() ext-real Element of REAL
((tan (#) sin) . (x + (h / 2))) - ((tan (#) sin) . (x - (h / 2))) is V11() V12() ext-real Element of REAL
K38(((tan (#) sin) . (x - (h / 2)))) is V11() V12() ext-real set
K36(((tan (#) sin) . (x + (h / 2))),K38(((tan (#) sin) . (x - (h / 2))))) is V11() V12() ext-real set
tan . (x + (h / 2)) is V11() V12() ext-real Element of REAL
sin . (x + (h / 2)) is V11() V12() ext-real Element of REAL
(tan . (x + (h / 2))) * (sin . (x + (h / 2))) is V11() V12() ext-real Element of REAL
((tan . (x + (h / 2))) * (sin . (x + (h / 2)))) - ((tan (#) sin) . (x - (h / 2))) is V11() V12() ext-real Element of REAL
K36(((tan . (x + (h / 2))) * (sin . (x + (h / 2)))),K38(((tan (#) sin) . (x - (h / 2))))) is V11() V12() ext-real set
tan . (x - (h / 2)) is V11() V12() ext-real Element of REAL
sin . (x - (h / 2)) is V11() V12() ext-real Element of REAL
(tan . (x - (h / 2))) * (sin . (x - (h / 2))) is V11() V12() ext-real Element of REAL
((tan . (x + (h / 2))) * (sin . (x + (h / 2)))) - ((tan . (x - (h / 2))) * (sin . (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K38(((tan . (x - (h / 2))) * (sin . (x - (h / 2))))) is V11() V12() ext-real set
K36(((tan . (x + (h / 2))) * (sin . (x + (h / 2)))),K38(((tan . (x - (h / 2))) * (sin . (x - (h / 2)))))) is V11() V12() ext-real set
cos . (x + (h / 2)) is V11() V12() ext-real Element of REAL
(cos . (x + (h / 2))) " is V11() V12() ext-real Element of REAL
(sin . (x + (h / 2))) * ((cos . (x + (h / 2))) ") is V11() V12() ext-real Element of REAL
((sin . (x + (h / 2))) * ((cos . (x + (h / 2))) ")) * (sin . (x + (h / 2))) is V11() V12() ext-real Element of REAL
(((sin . (x + (h / 2))) * ((cos . (x + (h / 2))) ")) * (sin . (x + (h / 2)))) - ((tan . (x - (h / 2))) * (sin . (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K36((((sin . (x + (h / 2))) * ((cos . (x + (h / 2))) ")) * (sin . (x + (h / 2)))),K38(((tan . (x - (h / 2))) * (sin . (x - (h / 2)))))) is V11() V12() ext-real set
sin (x + (h / 2)) is V11() V12() ext-real Element of REAL
sin . (x + (h / 2)) is V11() V12() ext-real Element of REAL
(sin (x + (h / 2))) / (cos (x + (h / 2))) is V11() V12() ext-real Element of REAL
K37((sin (x + (h / 2))),K39((cos (x + (h / 2))))) is V11() V12() ext-real set
((sin (x + (h / 2))) / (cos (x + (h / 2)))) * (sin (x + (h / 2))) is V11() V12() ext-real Element of REAL
sin (x - (h / 2)) is V11() V12() ext-real Element of REAL
sin . (x - (h / 2)) is V11() V12() ext-real Element of REAL
(sin (x - (h / 2))) / (cos (x - (h / 2))) is V11() V12() ext-real Element of REAL
K37((sin (x - (h / 2))),K39((cos (x - (h / 2))))) is V11() V12() ext-real set
((sin (x - (h / 2))) / (cos (x - (h / 2)))) * (sin (x - (h / 2))) is V11() V12() ext-real Element of REAL
(((sin (x + (h / 2))) / (cos (x + (h / 2)))) * (sin (x + (h / 2)))) - (((sin (x - (h / 2))) / (cos (x - (h / 2)))) * (sin (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K38((((sin (x - (h / 2))) / (cos (x - (h / 2)))) * (sin (x - (h / 2))))) is V11() V12() ext-real set
K36((((sin (x + (h / 2))) / (cos (x + (h / 2)))) * (sin (x + (h / 2)))),K38((((sin (x - (h / 2))) / (cos (x - (h / 2)))) * (sin (x - (h / 2)))))) is V11() V12() ext-real set
(cos (x + (h / 2))) / (sin (x + (h / 2))) is V11() V12() ext-real Element of REAL
K39((sin (x + (h / 2)))) is V11() V12() ext-real set
K37((cos (x + (h / 2))),K39((sin (x + (h / 2))))) is V11() V12() ext-real set
(sin (x + (h / 2))) / ((cos (x + (h / 2))) / (sin (x + (h / 2)))) is V11() V12() ext-real Element of REAL
K39(((cos (x + (h / 2))) / (sin (x + (h / 2))))) is V11() V12() ext-real set
K37((sin (x + (h / 2))),K39(((cos (x + (h / 2))) / (sin (x + (h / 2)))))) is V11() V12() ext-real set
((sin (x + (h / 2))) / ((cos (x + (h / 2))) / (sin (x + (h / 2))))) - (((sin (x - (h / 2))) / (cos (x - (h / 2)))) * (sin (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K36(((sin (x + (h / 2))) / ((cos (x + (h / 2))) / (sin (x + (h / 2))))),K38((((sin (x - (h / 2))) / (cos (x - (h / 2)))) * (sin (x - (h / 2)))))) is V11() V12() ext-real set
(cos (x - (h / 2))) / (sin (x - (h / 2))) is V11() V12() ext-real Element of REAL
K39((sin (x - (h / 2)))) is V11() V12() ext-real set
K37((cos (x - (h / 2))),K39((sin (x - (h / 2))))) is V11() V12() ext-real set
(sin (x - (h / 2))) / ((cos (x - (h / 2))) / (sin (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K39(((cos (x - (h / 2))) / (sin (x - (h / 2))))) is V11() V12() ext-real set
K37((sin (x - (h / 2))),K39(((cos (x - (h / 2))) / (sin (x - (h / 2)))))) is V11() V12() ext-real set
((sin (x + (h / 2))) / ((cos (x + (h / 2))) / (sin (x + (h / 2))))) - ((sin (x - (h / 2))) / ((cos (x - (h / 2))) / (sin (x - (h / 2))))) is V11() V12() ext-real Element of REAL
K38(((sin (x - (h / 2))) / ((cos (x - (h / 2))) / (sin (x - (h / 2)))))) is V11() V12() ext-real set
K36(((sin (x + (h / 2))) / ((cos (x + (h / 2))) / (sin (x + (h / 2))))),K38(((sin (x - (h / 2))) / ((cos (x - (h / 2))) / (sin (x - (h / 2))))))) is V11() V12() ext-real set
(sin (x + (h / 2))) * (sin (x + (h / 2))) is V11() V12() ext-real Element of REAL
((sin (x + (h / 2))) * (sin (x + (h / 2)))) / (cos (x + (h / 2))) is V11() V12() ext-real Element of REAL
K37(((sin (x + (h / 2))) * (sin (x + (h / 2)))),K39((cos (x + (h / 2))))) is V11() V12() ext-real set
(((sin (x + (h / 2))) * (sin (x + (h / 2)))) / (cos (x + (h / 2)))) - ((sin (x - (h / 2))) / ((cos (x - (h / 2))) / (sin (x - (h / 2))))) is V11() V12() ext-real Element of REAL
K36((((sin (x + (h / 2))) * (sin (x + (h / 2)))) / (cos (x + (h / 2)))),K38(((sin (x - (h / 2))) / ((cos (x - (h / 2))) / (sin (x - (h / 2))))))) is V11() V12() ext-real set
(sin (x - (h / 2))) * (sin (x - (h / 2))) is V11() V12() ext-real Element of REAL
((sin (x - (h / 2))) * (sin (x - (h / 2)))) / (cos (x - (h / 2))) is V11() V12() ext-real Element of REAL
K37(((sin (x - (h / 2))) * (sin (x - (h / 2)))),K39((cos (x - (h / 2))))) is V11() V12() ext-real set
(((sin (x + (h / 2))) * (sin (x + (h / 2)))) / (cos (x + (h / 2)))) - (((sin (x - (h / 2))) * (sin (x - (h / 2)))) / (cos (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K38((((sin (x - (h / 2))) * (sin (x - (h / 2)))) / (cos (x - (h / 2))))) is V11() V12() ext-real set
K36((((sin (x + (h / 2))) * (sin (x + (h / 2)))) / (cos (x + (h / 2)))),K38((((sin (x - (h / 2))) * (sin (x - (h / 2)))) / (cos (x - (h / 2)))))) is V11() V12() ext-real set
(cos (x + (h / 2))) * (cos (x + (h / 2))) is V11() V12() ext-real Element of REAL
1 - ((cos (x + (h / 2))) * (cos (x + (h / 2)))) is V11() V12() ext-real Element of REAL
K38(((cos (x + (h / 2))) * (cos (x + (h / 2))))) is V11() V12() ext-real set
K36(1,K38(((cos (x + (h / 2))) * (cos (x + (h / 2)))))) is V11() V12() ext-real set
(1 - ((cos (x + (h / 2))) * (cos (x + (h / 2))))) / (cos (x + (h / 2))) is V11() V12() ext-real Element of REAL
K37((1 - ((cos (x + (h / 2))) * (cos (x + (h / 2))))),K39((cos (x + (h / 2))))) is V11() V12() ext-real set
((1 - ((cos (x + (h / 2))) * (cos (x + (h / 2))))) / (cos (x + (h / 2)))) - (((sin (x - (h / 2))) * (sin (x - (h / 2)))) / (cos (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K36(((1 - ((cos (x + (h / 2))) * (cos (x + (h / 2))))) / (cos (x + (h / 2)))),K38((((sin (x - (h / 2))) * (sin (x - (h / 2)))) / (cos (x - (h / 2)))))) is V11() V12() ext-real set
((cos (x + (h / 2))) * (cos (x + (h / 2)))) / (cos (x + (h / 2))) is V11() V12() ext-real Element of REAL
K37(((cos (x + (h / 2))) * (cos (x + (h / 2)))),K39((cos (x + (h / 2))))) is V11() V12() ext-real set
(1 / (cos (x + (h / 2)))) - (((cos (x + (h / 2))) * (cos (x + (h / 2)))) / (cos (x + (h / 2)))) is V11() V12() ext-real Element of REAL
K38((((cos (x + (h / 2))) * (cos (x + (h / 2)))) / (cos (x + (h / 2))))) is V11() V12() ext-real set
K36((1 / (cos (x + (h / 2)))),K38((((cos (x + (h / 2))) * (cos (x + (h / 2)))) / (cos (x + (h / 2)))))) is V11() V12() ext-real set
(cos (x - (h / 2))) * (cos (x - (h / 2))) is V11() V12() ext-real Element of REAL
1 - ((cos (x - (h / 2))) * (cos (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K38(((cos (x - (h / 2))) * (cos (x - (h / 2))))) is V11() V12() ext-real set
K36(1,K38(((cos (x - (h / 2))) * (cos (x - (h / 2)))))) is V11() V12() ext-real set
(1 - ((cos (x - (h / 2))) * (cos (x - (h / 2))))) / (cos (x - (h / 2))) is V11() V12() ext-real Element of REAL
K37((1 - ((cos (x - (h / 2))) * (cos (x - (h / 2))))),K39((cos (x - (h / 2))))) is V11() V12() ext-real set
((1 / (cos (x + (h / 2)))) - (((cos (x + (h / 2))) * (cos (x + (h / 2)))) / (cos (x + (h / 2))))) - ((1 - ((cos (x - (h / 2))) * (cos (x - (h / 2))))) / (cos (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K38(((1 - ((cos (x - (h / 2))) * (cos (x - (h / 2))))) / (cos (x - (h / 2))))) is V11() V12() ext-real set
K36(((1 / (cos (x + (h / 2)))) - (((cos (x + (h / 2))) * (cos (x + (h / 2)))) / (cos (x + (h / 2))))),K38(((1 - ((cos (x - (h / 2))) * (cos (x - (h / 2))))) / (cos (x - (h / 2)))))) is V11() V12() ext-real set
((cos (x - (h / 2))) * (cos (x - (h / 2)))) / (cos (x - (h / 2))) is V11() V12() ext-real Element of REAL
K37(((cos (x - (h / 2))) * (cos (x - (h / 2)))),K39((cos (x - (h / 2))))) is V11() V12() ext-real set
(1 / (cos (x - (h / 2)))) - (((cos (x - (h / 2))) * (cos (x - (h / 2)))) / (cos (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K38((((cos (x - (h / 2))) * (cos (x - (h / 2)))) / (cos (x - (h / 2))))) is V11() V12() ext-real set
K36((1 / (cos (x - (h / 2)))),K38((((cos (x - (h / 2))) * (cos (x - (h / 2)))) / (cos (x - (h / 2)))))) is V11() V12() ext-real set
((1 / (cos (x + (h / 2)))) - (cos (x + (h / 2)))) - ((1 / (cos (x - (h / 2)))) - (((cos (x - (h / 2))) * (cos (x - (h / 2)))) / (cos (x - (h / 2))))) is V11() V12() ext-real Element of REAL
K38(((1 / (cos (x - (h / 2)))) - (((cos (x - (h / 2))) * (cos (x - (h / 2)))) / (cos (x - (h / 2)))))) is V11() V12() ext-real set
K36(((1 / (cos (x + (h / 2)))) - (cos (x + (h / 2)))),K38(((1 / (cos (x - (h / 2)))) - (((cos (x - (h / 2))) * (cos (x - (h / 2)))) / (cos (x - (h / 2))))))) is V11() V12() ext-real set
(1 / (cos (x - (h / 2)))) - (cos (x - (h / 2))) is V11() V12() ext-real Element of REAL
K38((cos (x - (h / 2)))) is V11() V12() ext-real set
K36((1 / (cos (x - (h / 2)))),K38((cos (x - (h / 2))))) is V11() V12() ext-real set
((1 / (cos (x + (h / 2)))) - (cos (x + (h / 2)))) - ((1 / (cos (x - (h / 2)))) - (cos (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K38(((1 / (cos (x - (h / 2)))) - (cos (x - (h / 2))))) is V11() V12() ext-real set
K36(((1 / (cos (x + (h / 2)))) - (cos (x + (h / 2)))),K38(((1 / (cos (x - (h / 2)))) - (cos (x - (h / 2)))))) is V11() V12() ext-real set
tan (#) cos is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
x is V11() V12() ext-real Element of REAL
sin x is V11() V12() ext-real Element of REAL
sin . x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
sin h is V11() V12() ext-real Element of REAL
sin . h is V11() V12() ext-real Element of REAL
(sin x) - (sin h) is V11() V12() ext-real Element of REAL
K38((sin h)) is V11() V12() ext-real set
K36((sin x),K38((sin h))) is V11() V12() ext-real set
x - h is V11() V12() ext-real Element of REAL
K38(h) is V11() V12() ext-real set
K36(x,K38(h)) is V11() V12() ext-real set
((sin x) - (sin h)) / (x - h) is V11() V12() ext-real Element of REAL
K39((x - h)) is V11() V12() ext-real set
K37(((sin x) - (sin h)),K39((x - h))) is V11() V12() ext-real set
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
[!f,x,h!] is V11() V12() ext-real Element of REAL
f . x is V11() V12() ext-real Element of REAL
f . h is V11() V12() ext-real Element of REAL
(f . x) - (f . h) is V11() V12() ext-real Element of REAL
K38((f . h)) is V11() V12() ext-real set
K36((f . x),K38((f . h))) is V11() V12() ext-real set
K40(x,h) is V11() V12() ext-real set
((f . x) - (f . h)) / K40(x,h) is V11() V12() ext-real Element of REAL
K39(K40(x,h)) is V11() V12() ext-real set
K37(((f . x) - (f . h)),K39(K40(x,h))) is V11() V12() ext-real set
f . x is V11() V12() ext-real Element of REAL
(tan (#) cos) . x is V11() V12() ext-real Element of REAL
f . h is V11() V12() ext-real Element of REAL
(tan (#) cos) . h is V11() V12() ext-real Element of REAL
tan . x is V11() V12() ext-real Element of REAL
cos . x is V11() V12() ext-real Element of REAL
(tan . x) * (cos . x) is V11() V12() ext-real Element of REAL
((tan . x) * (cos . x)) - ((tan (#) cos) . h) is V11() V12() ext-real Element of REAL
K38(((tan (#) cos) . h)) is V11() V12() ext-real set
K36(((tan . x) * (cos . x)),K38(((tan (#) cos) . h))) is V11() V12() ext-real set
(((tan . x) * (cos . x)) - ((tan (#) cos) . h)) / (x - h) is V11() V12() ext-real Element of REAL
K37((((tan . x) * (cos . x)) - ((tan (#) cos) . h)),K39((x - h))) is V11() V12() ext-real set
tan . h is V11() V12() ext-real Element of REAL
cos . h is V11() V12() ext-real Element of REAL
(tan . h) * (cos . h) is V11() V12() ext-real Element of REAL
((tan . x) * (cos . x)) - ((tan . h) * (cos . h)) is V11() V12() ext-real Element of REAL
K38(((tan . h) * (cos . h))) is V11() V12() ext-real set
K36(((tan . x) * (cos . x)),K38(((tan . h) * (cos . h)))) is V11() V12() ext-real set
(((tan . x) * (cos . x)) - ((tan . h) * (cos . h))) / (x - h) is V11() V12() ext-real Element of REAL
K37((((tan . x) * (cos . x)) - ((tan . h) * (cos . h))),K39((x - h))) is V11() V12() ext-real set
sin . x is V11() V12() ext-real Element of REAL
(cos . x) " is V11() V12() ext-real Element of REAL
(sin . x) * ((cos . x) ") is V11() V12() ext-real Element of REAL
((sin . x) * ((cos . x) ")) * (cos . x) is V11() V12() ext-real Element of REAL
(((sin . x) * ((cos . x) ")) * (cos . x)) - ((tan . h) * (cos . h)) is V11() V12() ext-real Element of REAL
K36((((sin . x) * ((cos . x) ")) * (cos . x)),K38(((tan . h) * (cos . h)))) is V11() V12() ext-real set
((((sin . x) * ((cos . x) ")) * (cos . x)) - ((tan . h) * (cos . h))) / (x - h) is V11() V12() ext-real Element of REAL
K37(((((sin . x) * ((cos . x) ")) * (cos . x)) - ((tan . h) * (cos . h))),K39((x - h))) is V11() V12() ext-real set
cos x is V11() V12() ext-real Element of REAL
cos . x is V11() V12() ext-real Element of REAL
(sin x) / (cos x) is V11() V12() ext-real Element of REAL
K39((cos x)) is V11() V12() ext-real set
K37((sin x),K39((cos x))) is V11() V12() ext-real set
((sin x) / (cos x)) * (cos x) is V11() V12() ext-real Element of REAL
cos h is V11() V12() ext-real Element of REAL
cos . h is V11() V12() ext-real Element of REAL
(sin h) / (cos h) is V11() V12() ext-real Element of REAL
K39((cos h)) is V11() V12() ext-real set
K37((sin h),K39((cos h))) is V11() V12() ext-real set
((sin h) / (cos h)) * (cos h) is V11() V12() ext-real Element of REAL
(((sin x) / (cos x)) * (cos x)) - (((sin h) / (cos h)) * (cos h)) is V11() V12() ext-real Element of REAL
K38((((sin h) / (cos h)) * (cos h))) is V11() V12() ext-real set
K36((((sin x) / (cos x)) * (cos x)),K38((((sin h) / (cos h)) * (cos h)))) is V11() V12() ext-real set
((((sin x) / (cos x)) * (cos x)) - (((sin h) / (cos h)) * (cos h))) / (x - h) is V11() V12() ext-real Element of REAL
K37(((((sin x) / (cos x)) * (cos x)) - (((sin h) / (cos h)) * (cos h))),K39((x - h))) is V11() V12() ext-real set
(cos x) / (cos x) is V11() V12() ext-real Element of REAL
K37((cos x),K39((cos x))) is V11() V12() ext-real set
(sin x) / ((cos x) / (cos x)) is V11() V12() ext-real Element of REAL
K39(((cos x) / (cos x))) is V11() V12() ext-real set
K37((sin x),K39(((cos x) / (cos x)))) is V11() V12() ext-real set
((sin x) / ((cos x) / (cos x))) - (((sin h) / (cos h)) * (cos h)) is V11() V12() ext-real Element of REAL
K36(((sin x) / ((cos x) / (cos x))),K38((((sin h) / (cos h)) * (cos h)))) is V11() V12() ext-real set
(((sin x) / ((cos x) / (cos x))) - (((sin h) / (cos h)) * (cos h))) / (x - h) is V11() V12() ext-real Element of REAL
K37((((sin x) / ((cos x) / (cos x))) - (((sin h) / (cos h)) * (cos h))),K39((x - h))) is V11() V12() ext-real set
1 / (cos x) is V11() V12() ext-real Element of REAL
K37(1,K39((cos x))) is V11() V12() ext-real set
(cos x) * (1 / (cos x)) is V11() V12() ext-real Element of REAL
(sin x) / ((cos x) * (1 / (cos x))) is V11() V12() ext-real Element of REAL
K39(((cos x) * (1 / (cos x)))) is V11() V12() ext-real set
K37((sin x),K39(((cos x) * (1 / (cos x))))) is V11() V12() ext-real set
(cos h) / (cos h) is V11() V12() ext-real Element of REAL
K37((cos h),K39((cos h))) is V11() V12() ext-real set
(sin h) / ((cos h) / (cos h)) is V11() V12() ext-real Element of REAL
K39(((cos h) / (cos h))) is V11() V12() ext-real set
K37((sin h),K39(((cos h) / (cos h)))) is V11() V12() ext-real set
((sin x) / ((cos x) * (1 / (cos x)))) - ((sin h) / ((cos h) / (cos h))) is V11() V12() ext-real Element of REAL
K38(((sin h) / ((cos h) / (cos h)))) is V11() V12() ext-real set
K36(((sin x) / ((cos x) * (1 / (cos x)))),K38(((sin h) / ((cos h) / (cos h))))) is V11() V12() ext-real set
(((sin x) / ((cos x) * (1 / (cos x)))) - ((sin h) / ((cos h) / (cos h)))) / (x - h) is V11() V12() ext-real Element of REAL
K37((((sin x) / ((cos x) * (1 / (cos x)))) - ((sin h) / ((cos h) / (cos h)))),K39((x - h))) is V11() V12() ext-real set
(sin x) / 1 is V11() V12() ext-real Element of REAL
K39(1) is V1() V11() V12() ext-real positive set
K37((sin x),K39(1)) is V11() V12() ext-real set
1 / (cos h) is V11() V12() ext-real Element of REAL
K37(1,K39((cos h))) is V11() V12() ext-real set
(cos h) * (1 / (cos h)) is V11() V12() ext-real Element of REAL
(sin h) / ((cos h) * (1 / (cos h))) is V11() V12() ext-real Element of REAL
K39(((cos h) * (1 / (cos h)))) is V11() V12() ext-real set
K37((sin h),K39(((cos h) * (1 / (cos h))))) is V11() V12() ext-real set
((sin x) / 1) - ((sin h) / ((cos h) * (1 / (cos h)))) is V11() V12() ext-real Element of REAL
K38(((sin h) / ((cos h) * (1 / (cos h))))) is V11() V12() ext-real set
K36(((sin x) / 1),K38(((sin h) / ((cos h) * (1 / (cos h)))))) is V11() V12() ext-real set
(((sin x) / 1) - ((sin h) / ((cos h) * (1 / (cos h))))) / (x - h) is V11() V12() ext-real Element of REAL
K37((((sin x) / 1) - ((sin h) / ((cos h) * (1 / (cos h))))),K39((x - h))) is V11() V12() ext-real set
(sin h) / 1 is V11() V12() ext-real Element of REAL
K37((sin h),K39(1)) is V11() V12() ext-real set
((sin x) / 1) - ((sin h) / 1) is V11() V12() ext-real Element of REAL
K38(((sin h) / 1)) is V11() V12() ext-real set
K36(((sin x) / 1),K38(((sin h) / 1))) is V11() V12() ext-real set
(((sin x) / 1) - ((sin h) / 1)) / (x - h) is V11() V12() ext-real Element of REAL
K37((((sin x) / 1) - ((sin h) / 1)),K39((x - h))) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
sin x is V11() V12() ext-real Element of REAL
sin . x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
x + h is V11() V12() ext-real Element of REAL
sin (x + h) is V11() V12() ext-real Element of REAL
sin . (x + h) is V11() V12() ext-real Element of REAL
(sin (x + h)) - (sin x) is V11() V12() ext-real Element of REAL
K38((sin x)) is V11() V12() ext-real set
K36((sin (x + h)),K38((sin x))) is V11() V12() ext-real set
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
fD (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (f,h)) - f is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(fD (f,h)) . x is V11() V12() ext-real Element of REAL
f . (x + h) is V11() V12() ext-real Element of REAL
f . x is V11() V12() ext-real Element of REAL
(f . (x + h)) - (f . x) is V11() V12() ext-real Element of REAL
K38((f . x)) is V11() V12() ext-real set
K36((f . (x + h)),K38((f . x))) is V11() V12() ext-real set
(tan (#) cos) . (x + h) is V11() V12() ext-real Element of REAL
((tan (#) cos) . (x + h)) - (f . x) is V11() V12() ext-real Element of REAL
K36(((tan (#) cos) . (x + h)),K38((f . x))) is V11() V12() ext-real set
(tan (#) cos) . x is V11() V12() ext-real Element of REAL
((tan (#) cos) . (x + h)) - ((tan (#) cos) . x) is V11() V12() ext-real Element of REAL
K38(((tan (#) cos) . x)) is V11() V12() ext-real set
K36(((tan (#) cos) . (x + h)),K38(((tan (#) cos) . x))) is V11() V12() ext-real set
tan . (x + h) is V11() V12() ext-real Element of REAL
cos . (x + h) is V11() V12() ext-real Element of REAL
(tan . (x + h)) * (cos . (x + h)) is V11() V12() ext-real Element of REAL
((tan . (x + h)) * (cos . (x + h))) - ((tan (#) cos) . x) is V11() V12() ext-real Element of REAL
K36(((tan . (x + h)) * (cos . (x + h))),K38(((tan (#) cos) . x))) is V11() V12() ext-real set
tan . x is V11() V12() ext-real Element of REAL
cos . x is V11() V12() ext-real Element of REAL
(tan . x) * (cos . x) is V11() V12() ext-real Element of REAL
((tan . (x + h)) * (cos . (x + h))) - ((tan . x) * (cos . x)) is V11() V12() ext-real Element of REAL
K38(((tan . x) * (cos . x))) is V11() V12() ext-real set
K36(((tan . (x + h)) * (cos . (x + h))),K38(((tan . x) * (cos . x)))) is V11() V12() ext-real set
sin . (x + h) is V11() V12() ext-real Element of REAL
(cos . (x + h)) " is V11() V12() ext-real Element of REAL
(sin . (x + h)) * ((cos . (x + h)) ") is V11() V12() ext-real Element of REAL
((sin . (x + h)) * ((cos . (x + h)) ")) * (cos . (x + h)) is V11() V12() ext-real Element of REAL
(((sin . (x + h)) * ((cos . (x + h)) ")) * (cos . (x + h))) - ((tan . x) * (cos . x)) is V11() V12() ext-real Element of REAL
K36((((sin . (x + h)) * ((cos . (x + h)) ")) * (cos . (x + h))),K38(((tan . x) * (cos . x)))) is V11() V12() ext-real set
cos (x + h) is V11() V12() ext-real Element of REAL
cos . (x + h) is V11() V12() ext-real Element of REAL
(sin (x + h)) / (cos (x + h)) is V11() V12() ext-real Element of REAL
K39((cos (x + h))) is V11() V12() ext-real set
K37((sin (x + h)),K39((cos (x + h)))) is V11() V12() ext-real set
((sin (x + h)) / (cos (x + h))) * (cos (x + h)) is V11() V12() ext-real Element of REAL
cos x is V11() V12() ext-real Element of REAL
cos . x is V11() V12() ext-real Element of REAL
(sin x) / (cos x) is V11() V12() ext-real Element of REAL
K39((cos x)) is V11() V12() ext-real set
K37((sin x),K39((cos x))) is V11() V12() ext-real set
((sin x) / (cos x)) * (cos x) is V11() V12() ext-real Element of REAL
(((sin (x + h)) / (cos (x + h))) * (cos (x + h))) - (((sin x) / (cos x)) * (cos x)) is V11() V12() ext-real Element of REAL
K38((((sin x) / (cos x)) * (cos x))) is V11() V12() ext-real set
K36((((sin (x + h)) / (cos (x + h))) * (cos (x + h))),K38((((sin x) / (cos x)) * (cos x)))) is V11() V12() ext-real set
(cos (x + h)) / (cos (x + h)) is V11() V12() ext-real Element of REAL
K37((cos (x + h)),K39((cos (x + h)))) is V11() V12() ext-real set
(sin (x + h)) / ((cos (x + h)) / (cos (x + h))) is V11() V12() ext-real Element of REAL
K39(((cos (x + h)) / (cos (x + h)))) is V11() V12() ext-real set
K37((sin (x + h)),K39(((cos (x + h)) / (cos (x + h))))) is V11() V12() ext-real set
((sin (x + h)) / ((cos (x + h)) / (cos (x + h)))) - (((sin x) / (cos x)) * (cos x)) is V11() V12() ext-real Element of REAL
K36(((sin (x + h)) / ((cos (x + h)) / (cos (x + h)))),K38((((sin x) / (cos x)) * (cos x)))) is V11() V12() ext-real set
1 / (cos (x + h)) is V11() V12() ext-real Element of REAL
K37(1,K39((cos (x + h)))) is V11() V12() ext-real set
(cos (x + h)) * (1 / (cos (x + h))) is V11() V12() ext-real Element of REAL
(sin (x + h)) / ((cos (x + h)) * (1 / (cos (x + h)))) is V11() V12() ext-real Element of REAL
K39(((cos (x + h)) * (1 / (cos (x + h))))) is V11() V12() ext-real set
K37((sin (x + h)),K39(((cos (x + h)) * (1 / (cos (x + h)))))) is V11() V12() ext-real set
(cos x) / (cos x) is V11() V12() ext-real Element of REAL
K37((cos x),K39((cos x))) is V11() V12() ext-real set
(sin x) / ((cos x) / (cos x)) is V11() V12() ext-real Element of REAL
K39(((cos x) / (cos x))) is V11() V12() ext-real set
K37((sin x),K39(((cos x) / (cos x)))) is V11() V12() ext-real set
((sin (x + h)) / ((cos (x + h)) * (1 / (cos (x + h))))) - ((sin x) / ((cos x) / (cos x))) is V11() V12() ext-real Element of REAL
K38(((sin x) / ((cos x) / (cos x)))) is V11() V12() ext-real set
K36(((sin (x + h)) / ((cos (x + h)) * (1 / (cos (x + h))))),K38(((sin x) / ((cos x) / (cos x))))) is V11() V12() ext-real set
(sin (x + h)) / 1 is V11() V12() ext-real Element of REAL
K39(1) is V1() V11() V12() ext-real positive set
K37((sin (x + h)),K39(1)) is V11() V12() ext-real set
1 / (cos x) is V11() V12() ext-real Element of REAL
K37(1,K39((cos x))) is V11() V12() ext-real set
(cos x) * (1 / (cos x)) is V11() V12() ext-real Element of REAL
(sin x) / ((cos x) * (1 / (cos x))) is V11() V12() ext-real Element of REAL
K39(((cos x) * (1 / (cos x)))) is V11() V12() ext-real set
K37((sin x),K39(((cos x) * (1 / (cos x))))) is V11() V12() ext-real set
((sin (x + h)) / 1) - ((sin x) / ((cos x) * (1 / (cos x)))) is V11() V12() ext-real Element of REAL
K38(((sin x) / ((cos x) * (1 / (cos x))))) is V11() V12() ext-real set
K36(((sin (x + h)) / 1),K38(((sin x) / ((cos x) * (1 / (cos x)))))) is V11() V12() ext-real set
(sin x) / 1 is V11() V12() ext-real Element of REAL
K37((sin x),K39(1)) is V11() V12() ext-real set
((sin (x + h)) / 1) - ((sin x) / 1) is V11() V12() ext-real Element of REAL
K38(((sin x) / 1)) is V11() V12() ext-real set
K36(((sin (x + h)) / 1),K38(((sin x) / 1))) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
sin x is V11() V12() ext-real Element of REAL
sin . x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
x - h is V11() V12() ext-real Element of REAL
K38(h) is V11() V12() ext-real set
K36(x,K38(h)) is V11() V12() ext-real set
sin (x - h) is V11() V12() ext-real Element of REAL
sin . (x - h) is V11() V12() ext-real Element of REAL
(sin x) - (sin (x - h)) is V11() V12() ext-real Element of REAL
K38((sin (x - h))) is V11() V12() ext-real set
K36((sin x),K38((sin (x - h)))) is V11() V12() ext-real set
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
bD (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (f,K38(h)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
f - (Shift (f,K38(h))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(bD (f,h)) . x is V11() V12() ext-real Element of REAL
f . x is V11() V12() ext-real Element of REAL
f . (x - h) is V11() V12() ext-real Element of REAL
(f . x) - (f . (x - h)) is V11() V12() ext-real Element of REAL
K38((f . (x - h))) is V11() V12() ext-real set
K36((f . x),K38((f . (x - h)))) is V11() V12() ext-real set
(tan (#) cos) . x is V11() V12() ext-real Element of REAL
((tan (#) cos) . x) - (f . (x - h)) is V11() V12() ext-real Element of REAL
K36(((tan (#) cos) . x),K38((f . (x - h)))) is V11() V12() ext-real set
(tan (#) cos) . (x - h) is V11() V12() ext-real Element of REAL
((tan (#) cos) . x) - ((tan (#) cos) . (x - h)) is V11() V12() ext-real Element of REAL
K38(((tan (#) cos) . (x - h))) is V11() V12() ext-real set
K36(((tan (#) cos) . x),K38(((tan (#) cos) . (x - h)))) is V11() V12() ext-real set
tan . x is V11() V12() ext-real Element of REAL
cos . x is V11() V12() ext-real Element of REAL
(tan . x) * (cos . x) is V11() V12() ext-real Element of REAL
((tan . x) * (cos . x)) - ((tan (#) cos) . (x - h)) is V11() V12() ext-real Element of REAL
K36(((tan . x) * (cos . x)),K38(((tan (#) cos) . (x - h)))) is V11() V12() ext-real set
tan . (x - h) is V11() V12() ext-real Element of REAL
cos . (x - h) is V11() V12() ext-real Element of REAL
(tan . (x - h)) * (cos . (x - h)) is V11() V12() ext-real Element of REAL
((tan . x) * (cos . x)) - ((tan . (x - h)) * (cos . (x - h))) is V11() V12() ext-real Element of REAL
K38(((tan . (x - h)) * (cos . (x - h)))) is V11() V12() ext-real set
K36(((tan . x) * (cos . x)),K38(((tan . (x - h)) * (cos . (x - h))))) is V11() V12() ext-real set
sin . x is V11() V12() ext-real Element of REAL
(cos . x) " is V11() V12() ext-real Element of REAL
(sin . x) * ((cos . x) ") is V11() V12() ext-real Element of REAL
((sin . x) * ((cos . x) ")) * (cos . x) is V11() V12() ext-real Element of REAL
(((sin . x) * ((cos . x) ")) * (cos . x)) - ((tan . (x - h)) * (cos . (x - h))) is V11() V12() ext-real Element of REAL
K36((((sin . x) * ((cos . x) ")) * (cos . x)),K38(((tan . (x - h)) * (cos . (x - h))))) is V11() V12() ext-real set
cos x is V11() V12() ext-real Element of REAL
cos . x is V11() V12() ext-real Element of REAL
(sin x) / (cos x) is V11() V12() ext-real Element of REAL
K39((cos x)) is V11() V12() ext-real set
K37((sin x),K39((cos x))) is V11() V12() ext-real set
((sin x) / (cos x)) * (cos x) is V11() V12() ext-real Element of REAL
cos (x - h) is V11() V12() ext-real Element of REAL
cos . (x - h) is V11() V12() ext-real Element of REAL
(sin (x - h)) / (cos (x - h)) is V11() V12() ext-real Element of REAL
K39((cos (x - h))) is V11() V12() ext-real set
K37((sin (x - h)),K39((cos (x - h)))) is V11() V12() ext-real set
((sin (x - h)) / (cos (x - h))) * (cos (x - h)) is V11() V12() ext-real Element of REAL
(((sin x) / (cos x)) * (cos x)) - (((sin (x - h)) / (cos (x - h))) * (cos (x - h))) is V11() V12() ext-real Element of REAL
K38((((sin (x - h)) / (cos (x - h))) * (cos (x - h)))) is V11() V12() ext-real set
K36((((sin x) / (cos x)) * (cos x)),K38((((sin (x - h)) / (cos (x - h))) * (cos (x - h))))) is V11() V12() ext-real set
(cos x) / (cos x) is V11() V12() ext-real Element of REAL
K37((cos x),K39((cos x))) is V11() V12() ext-real set
(sin x) / ((cos x) / (cos x)) is V11() V12() ext-real Element of REAL
K39(((cos x) / (cos x))) is V11() V12() ext-real set
K37((sin x),K39(((cos x) / (cos x)))) is V11() V12() ext-real set
((sin x) / ((cos x) / (cos x))) - (((sin (x - h)) / (cos (x - h))) * (cos (x - h))) is V11() V12() ext-real Element of REAL
K36(((sin x) / ((cos x) / (cos x))),K38((((sin (x - h)) / (cos (x - h))) * (cos (x - h))))) is V11() V12() ext-real set
1 / (cos x) is V11() V12() ext-real Element of REAL
K37(1,K39((cos x))) is V11() V12() ext-real set
(cos x) * (1 / (cos x)) is V11() V12() ext-real Element of REAL
(sin x) / ((cos x) * (1 / (cos x))) is V11() V12() ext-real Element of REAL
K39(((cos x) * (1 / (cos x)))) is V11() V12() ext-real set
K37((sin x),K39(((cos x) * (1 / (cos x))))) is V11() V12() ext-real set
(cos (x - h)) / (cos (x - h)) is V11() V12() ext-real Element of REAL
K37((cos (x - h)),K39((cos (x - h)))) is V11() V12() ext-real set
(sin (x - h)) / ((cos (x - h)) / (cos (x - h))) is V11() V12() ext-real Element of REAL
K39(((cos (x - h)) / (cos (x - h)))) is V11() V12() ext-real set
K37((sin (x - h)),K39(((cos (x - h)) / (cos (x - h))))) is V11() V12() ext-real set
((sin x) / ((cos x) * (1 / (cos x)))) - ((sin (x - h)) / ((cos (x - h)) / (cos (x - h)))) is V11() V12() ext-real Element of REAL
K38(((sin (x - h)) / ((cos (x - h)) / (cos (x - h))))) is V11() V12() ext-real set
K36(((sin x) / ((cos x) * (1 / (cos x)))),K38(((sin (x - h)) / ((cos (x - h)) / (cos (x - h)))))) is V11() V12() ext-real set
(sin x) / 1 is V11() V12() ext-real Element of REAL
K39(1) is V1() V11() V12() ext-real positive set
K37((sin x),K39(1)) is V11() V12() ext-real set
1 / (cos (x - h)) is V11() V12() ext-real Element of REAL
K37(1,K39((cos (x - h)))) is V11() V12() ext-real set
(cos (x - h)) * (1 / (cos (x - h))) is V11() V12() ext-real Element of REAL
(sin (x - h)) / ((cos (x - h)) * (1 / (cos (x - h)))) is V11() V12() ext-real Element of REAL
K39(((cos (x - h)) * (1 / (cos (x - h))))) is V11() V12() ext-real set
K37((sin (x - h)),K39(((cos (x - h)) * (1 / (cos (x - h)))))) is V11() V12() ext-real set
((sin x) / 1) - ((sin (x - h)) / ((cos (x - h)) * (1 / (cos (x - h))))) is V11() V12() ext-real Element of REAL
K38(((sin (x - h)) / ((cos (x - h)) * (1 / (cos (x - h)))))) is V11() V12() ext-real set
K36(((sin x) / 1),K38(((sin (x - h)) / ((cos (x - h)) * (1 / (cos (x - h))))))) is V11() V12() ext-real set
(sin (x - h)) / 1 is V11() V12() ext-real Element of REAL
K37((sin (x - h)),K39(1)) is V11() V12() ext-real set
((sin x) / 1) - ((sin (x - h)) / 1) is V11() V12() ext-real Element of REAL
K38(((sin (x - h)) / 1)) is V11() V12() ext-real set
K36(((sin x) / 1),K38(((sin (x - h)) / 1))) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
h / 2 is V11() V12() ext-real Element of REAL
K37(h,K39(2)) is V11() V12() ext-real set
x + (h / 2) is V11() V12() ext-real Element of REAL
x - (h / 2) is V11() V12() ext-real Element of REAL
K38((h / 2)) is V11() V12() ext-real set
K36(x,K38((h / 2))) is V11() V12() ext-real set
sin (x + (h / 2)) is V11() V12() ext-real Element of REAL
sin . (x + (h / 2)) is V11() V12() ext-real Element of REAL
sin (x - (h / 2)) is V11() V12() ext-real Element of REAL
sin . (x - (h / 2)) is V11() V12() ext-real Element of REAL
(sin (x + (h / 2))) - (sin (x - (h / 2))) is V11() V12() ext-real Element of REAL
K38((sin (x - (h / 2)))) is V11() V12() ext-real set
K36((sin (x + (h / 2))),K38((sin (x - (h / 2))))) is V11() V12() ext-real set
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
cD (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
h / 2 is V11() V12() ext-real Element of REAL
Shift (f,(h / 2)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
- (h / 2) is V11() V12() ext-real Element of REAL
Shift (f,(- (h / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (f,(h / 2))) - (Shift (f,(- (h / 2)))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(cD (f,h)) . x is V11() V12() ext-real Element of REAL
f . (x + (h / 2)) is V11() V12() ext-real Element of REAL
f . (x - (h / 2)) is V11() V12() ext-real Element of REAL
(f . (x + (h / 2))) - (f . (x - (h / 2))) is V11() V12() ext-real Element of REAL
K38((f . (x - (h / 2)))) is V11() V12() ext-real set
K36((f . (x + (h / 2))),K38((f . (x - (h / 2))))) is V11() V12() ext-real set
(tan (#) cos) . (x + (h / 2)) is V11() V12() ext-real Element of REAL
((tan (#) cos) . (x + (h / 2))) - (f . (x - (h / 2))) is V11() V12() ext-real Element of REAL
K36(((tan (#) cos) . (x + (h / 2))),K38((f . (x - (h / 2))))) is V11() V12() ext-real set
(tan (#) cos) . (x - (h / 2)) is V11() V12() ext-real Element of REAL
((tan (#) cos) . (x + (h / 2))) - ((tan (#) cos) . (x - (h / 2))) is V11() V12() ext-real Element of REAL
K38(((tan (#) cos) . (x - (h / 2)))) is V11() V12() ext-real set
K36(((tan (#) cos) . (x + (h / 2))),K38(((tan (#) cos) . (x - (h / 2))))) is V11() V12() ext-real set
tan . (x + (h / 2)) is V11() V12() ext-real Element of REAL
cos . (x + (h / 2)) is V11() V12() ext-real Element of REAL
(tan . (x + (h / 2))) * (cos . (x + (h / 2))) is V11() V12() ext-real Element of REAL
((tan . (x + (h / 2))) * (cos . (x + (h / 2)))) - ((tan (#) cos) . (x - (h / 2))) is V11() V12() ext-real Element of REAL
K36(((tan . (x + (h / 2))) * (cos . (x + (h / 2)))),K38(((tan (#) cos) . (x - (h / 2))))) is V11() V12() ext-real set
tan . (x - (h / 2)) is V11() V12() ext-real Element of REAL
cos . (x - (h / 2)) is V11() V12() ext-real Element of REAL
(tan . (x - (h / 2))) * (cos . (x - (h / 2))) is V11() V12() ext-real Element of REAL
((tan . (x + (h / 2))) * (cos . (x + (h / 2)))) - ((tan . (x - (h / 2))) * (cos . (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K38(((tan . (x - (h / 2))) * (cos . (x - (h / 2))))) is V11() V12() ext-real set
K36(((tan . (x + (h / 2))) * (cos . (x + (h / 2)))),K38(((tan . (x - (h / 2))) * (cos . (x - (h / 2)))))) is V11() V12() ext-real set
sin . (x + (h / 2)) is V11() V12() ext-real Element of REAL
(cos . (x + (h / 2))) " is V11() V12() ext-real Element of REAL
(sin . (x + (h / 2))) * ((cos . (x + (h / 2))) ") is V11() V12() ext-real Element of REAL
((sin . (x + (h / 2))) * ((cos . (x + (h / 2))) ")) * (cos . (x + (h / 2))) is V11() V12() ext-real Element of REAL
(((sin . (x + (h / 2))) * ((cos . (x + (h / 2))) ")) * (cos . (x + (h / 2)))) - ((tan . (x - (h / 2))) * (cos . (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K36((((sin . (x + (h / 2))) * ((cos . (x + (h / 2))) ")) * (cos . (x + (h / 2)))),K38(((tan . (x - (h / 2))) * (cos . (x - (h / 2)))))) is V11() V12() ext-real set
cos (x + (h / 2)) is V11() V12() ext-real Element of REAL
cos . (x + (h / 2)) is V11() V12() ext-real Element of REAL
(sin (x + (h / 2))) / (cos (x + (h / 2))) is V11() V12() ext-real Element of REAL
K39((cos (x + (h / 2)))) is V11() V12() ext-real set
K37((sin (x + (h / 2))),K39((cos (x + (h / 2))))) is V11() V12() ext-real set
((sin (x + (h / 2))) / (cos (x + (h / 2)))) * (cos (x + (h / 2))) is V11() V12() ext-real Element of REAL
cos (x - (h / 2)) is V11() V12() ext-real Element of REAL
cos . (x - (h / 2)) is V11() V12() ext-real Element of REAL
(sin (x - (h / 2))) / (cos (x - (h / 2))) is V11() V12() ext-real Element of REAL
K39((cos (x - (h / 2)))) is V11() V12() ext-real set
K37((sin (x - (h / 2))),K39((cos (x - (h / 2))))) is V11() V12() ext-real set
((sin (x - (h / 2))) / (cos (x - (h / 2)))) * (cos (x - (h / 2))) is V11() V12() ext-real Element of REAL
(((sin (x + (h / 2))) / (cos (x + (h / 2)))) * (cos (x + (h / 2)))) - (((sin (x - (h / 2))) / (cos (x - (h / 2)))) * (cos (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K38((((sin (x - (h / 2))) / (cos (x - (h / 2)))) * (cos (x - (h / 2))))) is V11() V12() ext-real set
K36((((sin (x + (h / 2))) / (cos (x + (h / 2)))) * (cos (x + (h / 2)))),K38((((sin (x - (h / 2))) / (cos (x - (h / 2)))) * (cos (x - (h / 2)))))) is V11() V12() ext-real set
(cos (x + (h / 2))) / (cos (x + (h / 2))) is V11() V12() ext-real Element of REAL
K37((cos (x + (h / 2))),K39((cos (x + (h / 2))))) is V11() V12() ext-real set
(sin (x + (h / 2))) / ((cos (x + (h / 2))) / (cos (x + (h / 2)))) is V11() V12() ext-real Element of REAL
K39(((cos (x + (h / 2))) / (cos (x + (h / 2))))) is V11() V12() ext-real set
K37((sin (x + (h / 2))),K39(((cos (x + (h / 2))) / (cos (x + (h / 2)))))) is V11() V12() ext-real set
((sin (x + (h / 2))) / ((cos (x + (h / 2))) / (cos (x + (h / 2))))) - (((sin (x - (h / 2))) / (cos (x - (h / 2)))) * (cos (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K36(((sin (x + (h / 2))) / ((cos (x + (h / 2))) / (cos (x + (h / 2))))),K38((((sin (x - (h / 2))) / (cos (x - (h / 2)))) * (cos (x - (h / 2)))))) is V11() V12() ext-real set
1 / (cos (x + (h / 2))) is V11() V12() ext-real Element of REAL
K37(1,K39((cos (x + (h / 2))))) is V11() V12() ext-real set
(cos (x + (h / 2))) * (1 / (cos (x + (h / 2)))) is V11() V12() ext-real Element of REAL
(sin (x + (h / 2))) / ((cos (x + (h / 2))) * (1 / (cos (x + (h / 2))))) is V11() V12() ext-real Element of REAL
K39(((cos (x + (h / 2))) * (1 / (cos (x + (h / 2)))))) is V11() V12() ext-real set
K37((sin (x + (h / 2))),K39(((cos (x + (h / 2))) * (1 / (cos (x + (h / 2))))))) is V11() V12() ext-real set
(cos (x - (h / 2))) / (cos (x - (h / 2))) is V11() V12() ext-real Element of REAL
K37((cos (x - (h / 2))),K39((cos (x - (h / 2))))) is V11() V12() ext-real set
(sin (x - (h / 2))) / ((cos (x - (h / 2))) / (cos (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K39(((cos (x - (h / 2))) / (cos (x - (h / 2))))) is V11() V12() ext-real set
K37((sin (x - (h / 2))),K39(((cos (x - (h / 2))) / (cos (x - (h / 2)))))) is V11() V12() ext-real set
((sin (x + (h / 2))) / ((cos (x + (h / 2))) * (1 / (cos (x + (h / 2)))))) - ((sin (x - (h / 2))) / ((cos (x - (h / 2))) / (cos (x - (h / 2))))) is V11() V12() ext-real Element of REAL
K38(((sin (x - (h / 2))) / ((cos (x - (h / 2))) / (cos (x - (h / 2)))))) is V11() V12() ext-real set
K36(((sin (x + (h / 2))) / ((cos (x + (h / 2))) * (1 / (cos (x + (h / 2)))))),K38(((sin (x - (h / 2))) / ((cos (x - (h / 2))) / (cos (x - (h / 2))))))) is V11() V12() ext-real set
(sin (x + (h / 2))) / 1 is V11() V12() ext-real Element of REAL
K39(1) is V1() V11() V12() ext-real positive set
K37((sin (x + (h / 2))),K39(1)) is V11() V12() ext-real set
1 / (cos (x - (h / 2))) is V11() V12() ext-real Element of REAL
K37(1,K39((cos (x - (h / 2))))) is V11() V12() ext-real set
(cos (x - (h / 2))) * (1 / (cos (x - (h / 2)))) is V11() V12() ext-real Element of REAL
(sin (x - (h / 2))) / ((cos (x - (h / 2))) * (1 / (cos (x - (h / 2))))) is V11() V12() ext-real Element of REAL
K39(((cos (x - (h / 2))) * (1 / (cos (x - (h / 2)))))) is V11() V12() ext-real set
K37((sin (x - (h / 2))),K39(((cos (x - (h / 2))) * (1 / (cos (x - (h / 2))))))) is V11() V12() ext-real set
((sin (x + (h / 2))) / 1) - ((sin (x - (h / 2))) / ((cos (x - (h / 2))) * (1 / (cos (x - (h / 2)))))) is V11() V12() ext-real Element of REAL
K38(((sin (x - (h / 2))) / ((cos (x - (h / 2))) * (1 / (cos (x - (h / 2))))))) is V11() V12() ext-real set
K36(((sin (x + (h / 2))) / 1),K38(((sin (x - (h / 2))) / ((cos (x - (h / 2))) * (1 / (cos (x - (h / 2)))))))) is V11() V12() ext-real set
(sin (x - (h / 2))) / 1 is V11() V12() ext-real Element of REAL
K37((sin (x - (h / 2))),K39(1)) is V11() V12() ext-real set
((sin (x + (h / 2))) / 1) - ((sin (x - (h / 2))) / 1) is V11() V12() ext-real Element of REAL
K38(((sin (x - (h / 2))) / 1)) is V11() V12() ext-real set
K36(((sin (x + (h / 2))) / 1),K38(((sin (x - (h / 2))) / 1))) is V11() V12() ext-real set
cot (#) cos is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
x is V11() V12() ext-real Element of REAL
sin x is V11() V12() ext-real Element of REAL
sin . x is V11() V12() ext-real Element of REAL
1 / (sin x) is V11() V12() ext-real Element of REAL
K39((sin x)) is V11() V12() ext-real set
K37(1,K39((sin x))) is V11() V12() ext-real set
(1 / (sin x)) - (sin x) is V11() V12() ext-real Element of REAL
K38((sin x)) is V11() V12() ext-real set
K36((1 / (sin x)),K38((sin x))) is V11() V12() ext-real set
h is V11() V12() ext-real Element of REAL
sin h is V11() V12() ext-real Element of REAL
sin . h is V11() V12() ext-real Element of REAL
1 / (sin h) is V11() V12() ext-real Element of REAL
K39((sin h)) is V11() V12() ext-real set
K37(1,K39((sin h))) is V11() V12() ext-real set
((1 / (sin x)) - (sin x)) - (1 / (sin h)) is V11() V12() ext-real Element of REAL
K38((1 / (sin h))) is V11() V12() ext-real set
K36(((1 / (sin x)) - (sin x)),K38((1 / (sin h)))) is V11() V12() ext-real set
(((1 / (sin x)) - (sin x)) - (1 / (sin h))) + (sin h) is V11() V12() ext-real Element of REAL
x - h is V11() V12() ext-real Element of REAL
K38(h) is V11() V12() ext-real set
K36(x,K38(h)) is V11() V12() ext-real set
((((1 / (sin x)) - (sin x)) - (1 / (sin h))) + (sin h)) / (x - h) is V11() V12() ext-real Element of REAL
K39((x - h)) is V11() V12() ext-real set
K37(((((1 / (sin x)) - (sin x)) - (1 / (sin h))) + (sin h)),K39((x - h))) is V11() V12() ext-real set
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
[!f,x,h!] is V11() V12() ext-real Element of REAL
f . x is V11() V12() ext-real Element of REAL
f . h is V11() V12() ext-real Element of REAL
(f . x) - (f . h) is V11() V12() ext-real Element of REAL
K38((f . h)) is V11() V12() ext-real set
K36((f . x),K38((f . h))) is V11() V12() ext-real set
K40(x,h) is V11() V12() ext-real set
((f . x) - (f . h)) / K40(x,h) is V11() V12() ext-real Element of REAL
K39(K40(x,h)) is V11() V12() ext-real set
K37(((f . x) - (f . h)),K39(K40(x,h))) is V11() V12() ext-real set
f . x is V11() V12() ext-real Element of REAL
(cot (#) cos) . x is V11() V12() ext-real Element of REAL
f . h is V11() V12() ext-real Element of REAL
(cot (#) cos) . h is V11() V12() ext-real Element of REAL
cot . x is V11() V12() ext-real Element of REAL
cos . x is V11() V12() ext-real Element of REAL
(cot . x) * (cos . x) is V11() V12() ext-real Element of REAL
((cot . x) * (cos . x)) - ((cot (#) cos) . h) is V11() V12() ext-real Element of REAL
K38(((cot (#) cos) . h)) is V11() V12() ext-real set
K36(((cot . x) * (cos . x)),K38(((cot (#) cos) . h))) is V11() V12() ext-real set
(((cot . x) * (cos . x)) - ((cot (#) cos) . h)) / (x - h) is V11() V12() ext-real Element of REAL
K37((((cot . x) * (cos . x)) - ((cot (#) cos) . h)),K39((x - h))) is V11() V12() ext-real set
cot . h is V11() V12() ext-real Element of REAL
cos . h is V11() V12() ext-real Element of REAL
(cot . h) * (cos . h) is V11() V12() ext-real Element of REAL
((cot . x) * (cos . x)) - ((cot . h) * (cos . h)) is V11() V12() ext-real Element of REAL
K38(((cot . h) * (cos . h))) is V11() V12() ext-real set
K36(((cot . x) * (cos . x)),K38(((cot . h) * (cos . h)))) is V11() V12() ext-real set
(((cot . x) * (cos . x)) - ((cot . h) * (cos . h))) / (x - h) is V11() V12() ext-real Element of REAL
K37((((cot . x) * (cos . x)) - ((cot . h) * (cos . h))),K39((x - h))) is V11() V12() ext-real set
sin . x is V11() V12() ext-real Element of REAL
(sin . x) " is V11() V12() ext-real Element of REAL
(cos . x) * ((sin . x) ") is V11() V12() ext-real Element of REAL
((cos . x) * ((sin . x) ")) * (cos . x) is V11() V12() ext-real Element of REAL
(((cos . x) * ((sin . x) ")) * (cos . x)) - ((cot . h) * (cos . h)) is V11() V12() ext-real Element of REAL
K36((((cos . x) * ((sin . x) ")) * (cos . x)),K38(((cot . h) * (cos . h)))) is V11() V12() ext-real set
((((cos . x) * ((sin . x) ")) * (cos . x)) - ((cot . h) * (cos . h))) / (x - h) is V11() V12() ext-real Element of REAL
K37(((((cos . x) * ((sin . x) ")) * (cos . x)) - ((cot . h) * (cos . h))),K39((x - h))) is V11() V12() ext-real set
cos x is V11() V12() ext-real Element of REAL
cos . x is V11() V12() ext-real Element of REAL
(cos x) / (sin x) is V11() V12() ext-real Element of REAL
K37((cos x),K39((sin x))) is V11() V12() ext-real set
((cos x) / (sin x)) * (cos x) is V11() V12() ext-real Element of REAL
cos h is V11() V12() ext-real Element of REAL
cos . h is V11() V12() ext-real Element of REAL
(cos h) / (sin h) is V11() V12() ext-real Element of REAL
K37((cos h),K39((sin h))) is V11() V12() ext-real set
((cos h) / (sin h)) * (cos h) is V11() V12() ext-real Element of REAL
(((cos x) / (sin x)) * (cos x)) - (((cos h) / (sin h)) * (cos h)) is V11() V12() ext-real Element of REAL
K38((((cos h) / (sin h)) * (cos h))) is V11() V12() ext-real set
K36((((cos x) / (sin x)) * (cos x)),K38((((cos h) / (sin h)) * (cos h)))) is V11() V12() ext-real set
((((cos x) / (sin x)) * (cos x)) - (((cos h) / (sin h)) * (cos h))) / (x - h) is V11() V12() ext-real Element of REAL
K37(((((cos x) / (sin x)) * (cos x)) - (((cos h) / (sin h)) * (cos h))),K39((x - h))) is V11() V12() ext-real set
(sin x) / (cos x) is V11() V12() ext-real Element of REAL
K39((cos x)) is V11() V12() ext-real set
K37((sin x),K39((cos x))) is V11() V12() ext-real set
(cos x) / ((sin x) / (cos x)) is V11() V12() ext-real Element of REAL
K39(((sin x) / (cos x))) is V11() V12() ext-real set
K37((cos x),K39(((sin x) / (cos x)))) is V11() V12() ext-real set
((cos x) / ((sin x) / (cos x))) - (((cos h) / (sin h)) * (cos h)) is V11() V12() ext-real Element of REAL
K36(((cos x) / ((sin x) / (cos x))),K38((((cos h) / (sin h)) * (cos h)))) is V11() V12() ext-real set
(((cos x) / ((sin x) / (cos x))) - (((cos h) / (sin h)) * (cos h))) / (x - h) is V11() V12() ext-real Element of REAL
K37((((cos x) / ((sin x) / (cos x))) - (((cos h) / (sin h)) * (cos h))),K39((x - h))) is V11() V12() ext-real set
(sin h) / (cos h) is V11() V12() ext-real Element of REAL
K39((cos h)) is V11() V12() ext-real set
K37((sin h),K39((cos h))) is V11() V12() ext-real set
(cos h) / ((sin h) / (cos h)) is V11() V12() ext-real Element of REAL
K39(((sin h) / (cos h))) is V11() V12() ext-real set
K37((cos h),K39(((sin h) / (cos h)))) is V11() V12() ext-real set
((cos x) / ((sin x) / (cos x))) - ((cos h) / ((sin h) / (cos h))) is V11() V12() ext-real Element of REAL
K38(((cos h) / ((sin h) / (cos h)))) is V11() V12() ext-real set
K36(((cos x) / ((sin x) / (cos x))),K38(((cos h) / ((sin h) / (cos h))))) is V11() V12() ext-real set
(((cos x) / ((sin x) / (cos x))) - ((cos h) / ((sin h) / (cos h)))) / (x - h) is V11() V12() ext-real Element of REAL
K37((((cos x) / ((sin x) / (cos x))) - ((cos h) / ((sin h) / (cos h)))),K39((x - h))) is V11() V12() ext-real set
(cos x) * (cos x) is V11() V12() ext-real Element of REAL
((cos x) * (cos x)) / (sin x) is V11() V12() ext-real Element of REAL
K37(((cos x) * (cos x)),K39((sin x))) is V11() V12() ext-real set
(((cos x) * (cos x)) / (sin x)) - ((cos h) / ((sin h) / (cos h))) is V11() V12() ext-real Element of REAL
K36((((cos x) * (cos x)) / (sin x)),K38(((cos h) / ((sin h) / (cos h))))) is V11() V12() ext-real set
((((cos x) * (cos x)) / (sin x)) - ((cos h) / ((sin h) / (cos h)))) / (x - h) is V11() V12() ext-real Element of REAL
K37(((((cos x) * (cos x)) / (sin x)) - ((cos h) / ((sin h) / (cos h)))),K39((x - h))) is V11() V12() ext-real set
(cos h) * (cos h) is V11() V12() ext-real Element of REAL
((cos h) * (cos h)) / (sin h) is V11() V12() ext-real Element of REAL
K37(((cos h) * (cos h)),K39((sin h))) is V11() V12() ext-real set
(((cos x) * (cos x)) / (sin x)) - (((cos h) * (cos h)) / (sin h)) is V11() V12() ext-real Element of REAL
K38((((cos h) * (cos h)) / (sin h))) is V11() V12() ext-real set
K36((((cos x) * (cos x)) / (sin x)),K38((((cos h) * (cos h)) / (sin h)))) is V11() V12() ext-real set
((((cos x) * (cos x)) / (sin x)) - (((cos h) * (cos h)) / (sin h))) / (x - h) is V11() V12() ext-real Element of REAL
K37(((((cos x) * (cos x)) / (sin x)) - (((cos h) * (cos h)) / (sin h))),K39((x - h))) is V11() V12() ext-real set
(sin x) * (sin x) is V11() V12() ext-real Element of REAL
1 - ((sin x) * (sin x)) is V11() V12() ext-real Element of REAL
K38(((sin x) * (sin x))) is V11() V12() ext-real set
K36(1,K38(((sin x) * (sin x)))) is V11() V12() ext-real set
(1 - ((sin x) * (sin x))) / (sin x) is V11() V12() ext-real Element of REAL
K37((1 - ((sin x) * (sin x))),K39((sin x))) is V11() V12() ext-real set
((1 - ((sin x) * (sin x))) / (sin x)) - (((cos h) * (cos h)) / (sin h)) is V11() V12() ext-real Element of REAL
K36(((1 - ((sin x) * (sin x))) / (sin x)),K38((((cos h) * (cos h)) / (sin h)))) is V11() V12() ext-real set
(((1 - ((sin x) * (sin x))) / (sin x)) - (((cos h) * (cos h)) / (sin h))) / (x - h) is V11() V12() ext-real Element of REAL
K37((((1 - ((sin x) * (sin x))) / (sin x)) - (((cos h) * (cos h)) / (sin h))),K39((x - h))) is V11() V12() ext-real set
((sin x) * (sin x)) / (sin x) is V11() V12() ext-real Element of REAL
K37(((sin x) * (sin x)),K39((sin x))) is V11() V12() ext-real set
(1 / (sin x)) - (((sin x) * (sin x)) / (sin x)) is V11() V12() ext-real Element of REAL
K38((((sin x) * (sin x)) / (sin x))) is V11() V12() ext-real set
K36((1 / (sin x)),K38((((sin x) * (sin x)) / (sin x)))) is V11() V12() ext-real set
(sin h) * (sin h) is V11() V12() ext-real Element of REAL
1 - ((sin h) * (sin h)) is V11() V12() ext-real Element of REAL
K38(((sin h) * (sin h))) is V11() V12() ext-real set
K36(1,K38(((sin h) * (sin h)))) is V11() V12() ext-real set
(1 - ((sin h) * (sin h))) / (sin h) is V11() V12() ext-real Element of REAL
K37((1 - ((sin h) * (sin h))),K39((sin h))) is V11() V12() ext-real set
((1 / (sin x)) - (((sin x) * (sin x)) / (sin x))) - ((1 - ((sin h) * (sin h))) / (sin h)) is V11() V12() ext-real Element of REAL
K38(((1 - ((sin h) * (sin h))) / (sin h))) is V11() V12() ext-real set
K36(((1 / (sin x)) - (((sin x) * (sin x)) / (sin x))),K38(((1 - ((sin h) * (sin h))) / (sin h)))) is V11() V12() ext-real set
(((1 / (sin x)) - (((sin x) * (sin x)) / (sin x))) - ((1 - ((sin h) * (sin h))) / (sin h))) / (x - h) is V11() V12() ext-real Element of REAL
K37((((1 / (sin x)) - (((sin x) * (sin x)) / (sin x))) - ((1 - ((sin h) * (sin h))) / (sin h))),K39((x - h))) is V11() V12() ext-real set
((sin h) * (sin h)) / (sin h) is V11() V12() ext-real Element of REAL
K37(((sin h) * (sin h)),K39((sin h))) is V11() V12() ext-real set
(1 / (sin h)) - (((sin h) * (sin h)) / (sin h)) is V11() V12() ext-real Element of REAL
K38((((sin h) * (sin h)) / (sin h))) is V11() V12() ext-real set
K36((1 / (sin h)),K38((((sin h) * (sin h)) / (sin h)))) is V11() V12() ext-real set
((1 / (sin x)) - (sin x)) - ((1 / (sin h)) - (((sin h) * (sin h)) / (sin h))) is V11() V12() ext-real Element of REAL
K38(((1 / (sin h)) - (((sin h) * (sin h)) / (sin h)))) is V11() V12() ext-real set
K36(((1 / (sin x)) - (sin x)),K38(((1 / (sin h)) - (((sin h) * (sin h)) / (sin h))))) is V11() V12() ext-real set
(((1 / (sin x)) - (sin x)) - ((1 / (sin h)) - (((sin h) * (sin h)) / (sin h)))) / (x - h) is V11() V12() ext-real Element of REAL
K37((((1 / (sin x)) - (sin x)) - ((1 / (sin h)) - (((sin h) * (sin h)) / (sin h)))),K39((x - h))) is V11() V12() ext-real set
(1 / (sin h)) - (sin h) is V11() V12() ext-real Element of REAL
K38((sin h)) is V11() V12() ext-real set
K36((1 / (sin h)),K38((sin h))) is V11() V12() ext-real set
((1 / (sin x)) - (sin x)) - ((1 / (sin h)) - (sin h)) is V11() V12() ext-real Element of REAL
K38(((1 / (sin h)) - (sin h))) is V11() V12() ext-real set
K36(((1 / (sin x)) - (sin x)),K38(((1 / (sin h)) - (sin h)))) is V11() V12() ext-real set
(((1 / (sin x)) - (sin x)) - ((1 / (sin h)) - (sin h))) / (x - h) is V11() V12() ext-real Element of REAL
K37((((1 / (sin x)) - (sin x)) - ((1 / (sin h)) - (sin h))),K39((x - h))) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
sin x is V11() V12() ext-real Element of REAL
sin . x is V11() V12() ext-real Element of REAL
1 / (sin x) is V11() V12() ext-real Element of REAL
K39((sin x)) is V11() V12() ext-real set
K37(1,K39((sin x))) is V11() V12() ext-real set
h is V11() V12() ext-real Element of REAL
x + h is V11() V12() ext-real Element of REAL
sin (x + h) is V11() V12() ext-real Element of REAL
sin . (x + h) is V11() V12() ext-real Element of REAL
1 / (sin (x + h)) is V11() V12() ext-real Element of REAL
K39((sin (x + h))) is V11() V12() ext-real set
K37(1,K39((sin (x + h)))) is V11() V12() ext-real set
(1 / (sin (x + h))) - (sin (x + h)) is V11() V12() ext-real Element of REAL
K38((sin (x + h))) is V11() V12() ext-real set
K36((1 / (sin (x + h))),K38((sin (x + h)))) is V11() V12() ext-real set
((1 / (sin (x + h))) - (sin (x + h))) - (1 / (sin x)) is V11() V12() ext-real Element of REAL
K38((1 / (sin x))) is V11() V12() ext-real set
K36(((1 / (sin (x + h))) - (sin (x + h))),K38((1 / (sin x)))) is V11() V12() ext-real set
(((1 / (sin (x + h))) - (sin (x + h))) - (1 / (sin x))) + (sin x) is V11() V12() ext-real Element of REAL
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
fD (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (f,h)) - f is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(fD (f,h)) . x is V11() V12() ext-real Element of REAL
f . (x + h) is V11() V12() ext-real Element of REAL
f . x is V11() V12() ext-real Element of REAL
(f . (x + h)) - (f . x) is V11() V12() ext-real Element of REAL
K38((f . x)) is V11() V12() ext-real set
K36((f . (x + h)),K38((f . x))) is V11() V12() ext-real set
(cot (#) cos) . (x + h) is V11() V12() ext-real Element of REAL
((cot (#) cos) . (x + h)) - (f . x) is V11() V12() ext-real Element of REAL
K36(((cot (#) cos) . (x + h)),K38((f . x))) is V11() V12() ext-real set
(cot (#) cos) . x is V11() V12() ext-real Element of REAL
((cot (#) cos) . (x + h)) - ((cot (#) cos) . x) is V11() V12() ext-real Element of REAL
K38(((cot (#) cos) . x)) is V11() V12() ext-real set
K36(((cot (#) cos) . (x + h)),K38(((cot (#) cos) . x))) is V11() V12() ext-real set
cot . (x + h) is V11() V12() ext-real Element of REAL
cos . (x + h) is V11() V12() ext-real Element of REAL
(cot . (x + h)) * (cos . (x + h)) is V11() V12() ext-real Element of REAL
((cot . (x + h)) * (cos . (x + h))) - ((cot (#) cos) . x) is V11() V12() ext-real Element of REAL
K36(((cot . (x + h)) * (cos . (x + h))),K38(((cot (#) cos) . x))) is V11() V12() ext-real set
cot . x is V11() V12() ext-real Element of REAL
cos . x is V11() V12() ext-real Element of REAL
(cot . x) * (cos . x) is V11() V12() ext-real Element of REAL
((cot . (x + h)) * (cos . (x + h))) - ((cot . x) * (cos . x)) is V11() V12() ext-real Element of REAL
K38(((cot . x) * (cos . x))) is V11() V12() ext-real set
K36(((cot . (x + h)) * (cos . (x + h))),K38(((cot . x) * (cos . x)))) is V11() V12() ext-real set
sin . (x + h) is V11() V12() ext-real Element of REAL
(sin . (x + h)) " is V11() V12() ext-real Element of REAL
(cos . (x + h)) * ((sin . (x + h)) ") is V11() V12() ext-real Element of REAL
((cos . (x + h)) * ((sin . (x + h)) ")) * (cos . (x + h)) is V11() V12() ext-real Element of REAL
(((cos . (x + h)) * ((sin . (x + h)) ")) * (cos . (x + h))) - ((cot . x) * (cos . x)) is V11() V12() ext-real Element of REAL
K36((((cos . (x + h)) * ((sin . (x + h)) ")) * (cos . (x + h))),K38(((cot . x) * (cos . x)))) is V11() V12() ext-real set
cos (x + h) is V11() V12() ext-real Element of REAL
cos . (x + h) is V11() V12() ext-real Element of REAL
(cos (x + h)) / (sin (x + h)) is V11() V12() ext-real Element of REAL
K37((cos (x + h)),K39((sin (x + h)))) is V11() V12() ext-real set
((cos (x + h)) / (sin (x + h))) * (cos (x + h)) is V11() V12() ext-real Element of REAL
cos x is V11() V12() ext-real Element of REAL
cos . x is V11() V12() ext-real Element of REAL
(cos x) / (sin x) is V11() V12() ext-real Element of REAL
K37((cos x),K39((sin x))) is V11() V12() ext-real set
((cos x) / (sin x)) * (cos x) is V11() V12() ext-real Element of REAL
(((cos (x + h)) / (sin (x + h))) * (cos (x + h))) - (((cos x) / (sin x)) * (cos x)) is V11() V12() ext-real Element of REAL
K38((((cos x) / (sin x)) * (cos x))) is V11() V12() ext-real set
K36((((cos (x + h)) / (sin (x + h))) * (cos (x + h))),K38((((cos x) / (sin x)) * (cos x)))) is V11() V12() ext-real set
(sin (x + h)) / (cos (x + h)) is V11() V12() ext-real Element of REAL
K39((cos (x + h))) is V11() V12() ext-real set
K37((sin (x + h)),K39((cos (x + h)))) is V11() V12() ext-real set
(cos (x + h)) / ((sin (x + h)) / (cos (x + h))) is V11() V12() ext-real Element of REAL
K39(((sin (x + h)) / (cos (x + h)))) is V11() V12() ext-real set
K37((cos (x + h)),K39(((sin (x + h)) / (cos (x + h))))) is V11() V12() ext-real set
((cos (x + h)) / ((sin (x + h)) / (cos (x + h)))) - (((cos x) / (sin x)) * (cos x)) is V11() V12() ext-real Element of REAL
K36(((cos (x + h)) / ((sin (x + h)) / (cos (x + h)))),K38((((cos x) / (sin x)) * (cos x)))) is V11() V12() ext-real set
(sin x) / (cos x) is V11() V12() ext-real Element of REAL
K39((cos x)) is V11() V12() ext-real set
K37((sin x),K39((cos x))) is V11() V12() ext-real set
(cos x) / ((sin x) / (cos x)) is V11() V12() ext-real Element of REAL
K39(((sin x) / (cos x))) is V11() V12() ext-real set
K37((cos x),K39(((sin x) / (cos x)))) is V11() V12() ext-real set
((cos (x + h)) / ((sin (x + h)) / (cos (x + h)))) - ((cos x) / ((sin x) / (cos x))) is V11() V12() ext-real Element of REAL
K38(((cos x) / ((sin x) / (cos x)))) is V11() V12() ext-real set
K36(((cos (x + h)) / ((sin (x + h)) / (cos (x + h)))),K38(((cos x) / ((sin x) / (cos x))))) is V11() V12() ext-real set
(cos (x + h)) * (cos (x + h)) is V11() V12() ext-real Element of REAL
((cos (x + h)) * (cos (x + h))) / (sin (x + h)) is V11() V12() ext-real Element of REAL
K37(((cos (x + h)) * (cos (x + h))),K39((sin (x + h)))) is V11() V12() ext-real set
(((cos (x + h)) * (cos (x + h))) / (sin (x + h))) - ((cos x) / ((sin x) / (cos x))) is V11() V12() ext-real Element of REAL
K36((((cos (x + h)) * (cos (x + h))) / (sin (x + h))),K38(((cos x) / ((sin x) / (cos x))))) is V11() V12() ext-real set
(cos x) * (cos x) is V11() V12() ext-real Element of REAL
((cos x) * (cos x)) / (sin x) is V11() V12() ext-real Element of REAL
K37(((cos x) * (cos x)),K39((sin x))) is V11() V12() ext-real set
(((cos (x + h)) * (cos (x + h))) / (sin (x + h))) - (((cos x) * (cos x)) / (sin x)) is V11() V12() ext-real Element of REAL
K38((((cos x) * (cos x)) / (sin x))) is V11() V12() ext-real set
K36((((cos (x + h)) * (cos (x + h))) / (sin (x + h))),K38((((cos x) * (cos x)) / (sin x)))) is V11() V12() ext-real set
(sin (x + h)) * (sin (x + h)) is V11() V12() ext-real Element of REAL
1 - ((sin (x + h)) * (sin (x + h))) is V11() V12() ext-real Element of REAL
K38(((sin (x + h)) * (sin (x + h)))) is V11() V12() ext-real set
K36(1,K38(((sin (x + h)) * (sin (x + h))))) is V11() V12() ext-real set
(1 - ((sin (x + h)) * (sin (x + h)))) / (sin (x + h)) is V11() V12() ext-real Element of REAL
K37((1 - ((sin (x + h)) * (sin (x + h)))),K39((sin (x + h)))) is V11() V12() ext-real set
((1 - ((sin (x + h)) * (sin (x + h)))) / (sin (x + h))) - (((cos x) * (cos x)) / (sin x)) is V11() V12() ext-real Element of REAL
K36(((1 - ((sin (x + h)) * (sin (x + h)))) / (sin (x + h))),K38((((cos x) * (cos x)) / (sin x)))) is V11() V12() ext-real set
((sin (x + h)) * (sin (x + h))) / (sin (x + h)) is V11() V12() ext-real Element of REAL
K37(((sin (x + h)) * (sin (x + h))),K39((sin (x + h)))) is V11() V12() ext-real set
(1 / (sin (x + h))) - (((sin (x + h)) * (sin (x + h))) / (sin (x + h))) is V11() V12() ext-real Element of REAL
K38((((sin (x + h)) * (sin (x + h))) / (sin (x + h)))) is V11() V12() ext-real set
K36((1 / (sin (x + h))),K38((((sin (x + h)) * (sin (x + h))) / (sin (x + h))))) is V11() V12() ext-real set
(sin x) * (sin x) is V11() V12() ext-real Element of REAL
1 - ((sin x) * (sin x)) is V11() V12() ext-real Element of REAL
K38(((sin x) * (sin x))) is V11() V12() ext-real set
K36(1,K38(((sin x) * (sin x)))) is V11() V12() ext-real set
(1 - ((sin x) * (sin x))) / (sin x) is V11() V12() ext-real Element of REAL
K37((1 - ((sin x) * (sin x))),K39((sin x))) is V11() V12() ext-real set
((1 / (sin (x + h))) - (((sin (x + h)) * (sin (x + h))) / (sin (x + h)))) - ((1 - ((sin x) * (sin x))) / (sin x)) is V11() V12() ext-real Element of REAL
K38(((1 - ((sin x) * (sin x))) / (sin x))) is V11() V12() ext-real set
K36(((1 / (sin (x + h))) - (((sin (x + h)) * (sin (x + h))) / (sin (x + h)))),K38(((1 - ((sin x) * (sin x))) / (sin x)))) is V11() V12() ext-real set
((sin x) * (sin x)) / (sin x) is V11() V12() ext-real Element of REAL
K37(((sin x) * (sin x)),K39((sin x))) is V11() V12() ext-real set
(1 / (sin x)) - (((sin x) * (sin x)) / (sin x)) is V11() V12() ext-real Element of REAL
K38((((sin x) * (sin x)) / (sin x))) is V11() V12() ext-real set
K36((1 / (sin x)),K38((((sin x) * (sin x)) / (sin x)))) is V11() V12() ext-real set
((1 / (sin (x + h))) - (sin (x + h))) - ((1 / (sin x)) - (((sin x) * (sin x)) / (sin x))) is V11() V12() ext-real Element of REAL
K38(((1 / (sin x)) - (((sin x) * (sin x)) / (sin x)))) is V11() V12() ext-real set
K36(((1 / (sin (x + h))) - (sin (x + h))),K38(((1 / (sin x)) - (((sin x) * (sin x)) / (sin x))))) is V11() V12() ext-real set
(1 / (sin x)) - (sin x) is V11() V12() ext-real Element of REAL
K38((sin x)) is V11() V12() ext-real set
K36((1 / (sin x)),K38((sin x))) is V11() V12() ext-real set
((1 / (sin (x + h))) - (sin (x + h))) - ((1 / (sin x)) - (sin x)) is V11() V12() ext-real Element of REAL
K38(((1 / (sin x)) - (sin x))) is V11() V12() ext-real set
K36(((1 / (sin (x + h))) - (sin (x + h))),K38(((1 / (sin x)) - (sin x)))) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
sin x is V11() V12() ext-real Element of REAL
sin . x is V11() V12() ext-real Element of REAL
1 / (sin x) is V11() V12() ext-real Element of REAL
K39((sin x)) is V11() V12() ext-real set
K37(1,K39((sin x))) is V11() V12() ext-real set
(1 / (sin x)) - (sin x) is V11() V12() ext-real Element of REAL
K38((sin x)) is V11() V12() ext-real set
K36((1 / (sin x)),K38((sin x))) is V11() V12() ext-real set
h is V11() V12() ext-real Element of REAL
x - h is V11() V12() ext-real Element of REAL
K38(h) is V11() V12() ext-real set
K36(x,K38(h)) is V11() V12() ext-real set
sin (x - h) is V11() V12() ext-real Element of REAL
sin . (x - h) is V11() V12() ext-real Element of REAL
1 / (sin (x - h)) is V11() V12() ext-real Element of REAL
K39((sin (x - h))) is V11() V12() ext-real set
K37(1,K39((sin (x - h)))) is V11() V12() ext-real set
((1 / (sin x)) - (sin x)) - (1 / (sin (x - h))) is V11() V12() ext-real Element of REAL
K38((1 / (sin (x - h)))) is V11() V12() ext-real set
K36(((1 / (sin x)) - (sin x)),K38((1 / (sin (x - h))))) is V11() V12() ext-real set
(((1 / (sin x)) - (sin x)) - (1 / (sin (x - h)))) + (sin (x - h)) is V11() V12() ext-real Element of REAL
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
bD (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (f,K38(h)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
f - (Shift (f,K38(h))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(bD (f,h)) . x is V11() V12() ext-real Element of REAL
f . x is V11() V12() ext-real Element of REAL
f . (x - h) is V11() V12() ext-real Element of REAL
(f . x) - (f . (x - h)) is V11() V12() ext-real Element of REAL
K38((f . (x - h))) is V11() V12() ext-real set
K36((f . x),K38((f . (x - h)))) is V11() V12() ext-real set
(cot (#) cos) . x is V11() V12() ext-real Element of REAL
((cot (#) cos) . x) - (f . (x - h)) is V11() V12() ext-real Element of REAL
K36(((cot (#) cos) . x),K38((f . (x - h)))) is V11() V12() ext-real set
(cot (#) cos) . (x - h) is V11() V12() ext-real Element of REAL
((cot (#) cos) . x) - ((cot (#) cos) . (x - h)) is V11() V12() ext-real Element of REAL
K38(((cot (#) cos) . (x - h))) is V11() V12() ext-real set
K36(((cot (#) cos) . x),K38(((cot (#) cos) . (x - h)))) is V11() V12() ext-real set
cot . x is V11() V12() ext-real Element of REAL
cos . x is V11() V12() ext-real Element of REAL
(cot . x) * (cos . x) is V11() V12() ext-real Element of REAL
((cot . x) * (cos . x)) - ((cot (#) cos) . (x - h)) is V11() V12() ext-real Element of REAL
K36(((cot . x) * (cos . x)),K38(((cot (#) cos) . (x - h)))) is V11() V12() ext-real set
cot . (x - h) is V11() V12() ext-real Element of REAL
cos . (x - h) is V11() V12() ext-real Element of REAL
(cot . (x - h)) * (cos . (x - h)) is V11() V12() ext-real Element of REAL
((cot . x) * (cos . x)) - ((cot . (x - h)) * (cos . (x - h))) is V11() V12() ext-real Element of REAL
K38(((cot . (x - h)) * (cos . (x - h)))) is V11() V12() ext-real set
K36(((cot . x) * (cos . x)),K38(((cot . (x - h)) * (cos . (x - h))))) is V11() V12() ext-real set
sin . x is V11() V12() ext-real Element of REAL
(sin . x) " is V11() V12() ext-real Element of REAL
(cos . x) * ((sin . x) ") is V11() V12() ext-real Element of REAL
((cos . x) * ((sin . x) ")) * (cos . x) is V11() V12() ext-real Element of REAL
(((cos . x) * ((sin . x) ")) * (cos . x)) - ((cot . (x - h)) * (cos . (x - h))) is V11() V12() ext-real Element of REAL
K36((((cos . x) * ((sin . x) ")) * (cos . x)),K38(((cot . (x - h)) * (cos . (x - h))))) is V11() V12() ext-real set
cos x is V11() V12() ext-real Element of REAL
cos . x is V11() V12() ext-real Element of REAL
(cos x) / (sin x) is V11() V12() ext-real Element of REAL
K37((cos x),K39((sin x))) is V11() V12() ext-real set
((cos x) / (sin x)) * (cos x) is V11() V12() ext-real Element of REAL
cos (x - h) is V11() V12() ext-real Element of REAL
cos . (x - h) is V11() V12() ext-real Element of REAL
(cos (x - h)) / (sin (x - h)) is V11() V12() ext-real Element of REAL
K37((cos (x - h)),K39((sin (x - h)))) is V11() V12() ext-real set
((cos (x - h)) / (sin (x - h))) * (cos (x - h)) is V11() V12() ext-real Element of REAL
(((cos x) / (sin x)) * (cos x)) - (((cos (x - h)) / (sin (x - h))) * (cos (x - h))) is V11() V12() ext-real Element of REAL
K38((((cos (x - h)) / (sin (x - h))) * (cos (x - h)))) is V11() V12() ext-real set
K36((((cos x) / (sin x)) * (cos x)),K38((((cos (x - h)) / (sin (x - h))) * (cos (x - h))))) is V11() V12() ext-real set
(sin x) / (cos x) is V11() V12() ext-real Element of REAL
K39((cos x)) is V11() V12() ext-real set
K37((sin x),K39((cos x))) is V11() V12() ext-real set
(cos x) / ((sin x) / (cos x)) is V11() V12() ext-real Element of REAL
K39(((sin x) / (cos x))) is V11() V12() ext-real set
K37((cos x),K39(((sin x) / (cos x)))) is V11() V12() ext-real set
((cos x) / ((sin x) / (cos x))) - (((cos (x - h)) / (sin (x - h))) * (cos (x - h))) is V11() V12() ext-real Element of REAL
K36(((cos x) / ((sin x) / (cos x))),K38((((cos (x - h)) / (sin (x - h))) * (cos (x - h))))) is V11() V12() ext-real set
(sin (x - h)) / (cos (x - h)) is V11() V12() ext-real Element of REAL
K39((cos (x - h))) is V11() V12() ext-real set
K37((sin (x - h)),K39((cos (x - h)))) is V11() V12() ext-real set
(cos (x - h)) / ((sin (x - h)) / (cos (x - h))) is V11() V12() ext-real Element of REAL
K39(((sin (x - h)) / (cos (x - h)))) is V11() V12() ext-real set
K37((cos (x - h)),K39(((sin (x - h)) / (cos (x - h))))) is V11() V12() ext-real set
((cos x) / ((sin x) / (cos x))) - ((cos (x - h)) / ((sin (x - h)) / (cos (x - h)))) is V11() V12() ext-real Element of REAL
K38(((cos (x - h)) / ((sin (x - h)) / (cos (x - h))))) is V11() V12() ext-real set
K36(((cos x) / ((sin x) / (cos x))),K38(((cos (x - h)) / ((sin (x - h)) / (cos (x - h)))))) is V11() V12() ext-real set
(cos x) * (cos x) is V11() V12() ext-real Element of REAL
((cos x) * (cos x)) / (sin x) is V11() V12() ext-real Element of REAL
K37(((cos x) * (cos x)),K39((sin x))) is V11() V12() ext-real set
(((cos x) * (cos x)) / (sin x)) - ((cos (x - h)) / ((sin (x - h)) / (cos (x - h)))) is V11() V12() ext-real Element of REAL
K36((((cos x) * (cos x)) / (sin x)),K38(((cos (x - h)) / ((sin (x - h)) / (cos (x - h)))))) is V11() V12() ext-real set
(cos (x - h)) * (cos (x - h)) is V11() V12() ext-real Element of REAL
((cos (x - h)) * (cos (x - h))) / (sin (x - h)) is V11() V12() ext-real Element of REAL
K37(((cos (x - h)) * (cos (x - h))),K39((sin (x - h)))) is V11() V12() ext-real set
(((cos x) * (cos x)) / (sin x)) - (((cos (x - h)) * (cos (x - h))) / (sin (x - h))) is V11() V12() ext-real Element of REAL
K38((((cos (x - h)) * (cos (x - h))) / (sin (x - h)))) is V11() V12() ext-real set
K36((((cos x) * (cos x)) / (sin x)),K38((((cos (x - h)) * (cos (x - h))) / (sin (x - h))))) is V11() V12() ext-real set
(sin x) * (sin x) is V11() V12() ext-real Element of REAL
1 - ((sin x) * (sin x)) is V11() V12() ext-real Element of REAL
K38(((sin x) * (sin x))) is V11() V12() ext-real set
K36(1,K38(((sin x) * (sin x)))) is V11() V12() ext-real set
(1 - ((sin x) * (sin x))) / (sin x) is V11() V12() ext-real Element of REAL
K37((1 - ((sin x) * (sin x))),K39((sin x))) is V11() V12() ext-real set
((1 - ((sin x) * (sin x))) / (sin x)) - (((cos (x - h)) * (cos (x - h))) / (sin (x - h))) is V11() V12() ext-real Element of REAL
K36(((1 - ((sin x) * (sin x))) / (sin x)),K38((((cos (x - h)) * (cos (x - h))) / (sin (x - h))))) is V11() V12() ext-real set
((sin x) * (sin x)) / (sin x) is V11() V12() ext-real Element of REAL
K37(((sin x) * (sin x)),K39((sin x))) is V11() V12() ext-real set
(1 / (sin x)) - (((sin x) * (sin x)) / (sin x)) is V11() V12() ext-real Element of REAL
K38((((sin x) * (sin x)) / (sin x))) is V11() V12() ext-real set
K36((1 / (sin x)),K38((((sin x) * (sin x)) / (sin x)))) is V11() V12() ext-real set
(sin (x - h)) * (sin (x - h)) is V11() V12() ext-real Element of REAL
1 - ((sin (x - h)) * (sin (x - h))) is V11() V12() ext-real Element of REAL
K38(((sin (x - h)) * (sin (x - h)))) is V11() V12() ext-real set
K36(1,K38(((sin (x - h)) * (sin (x - h))))) is V11() V12() ext-real set
(1 - ((sin (x - h)) * (sin (x - h)))) / (sin (x - h)) is V11() V12() ext-real Element of REAL
K37((1 - ((sin (x - h)) * (sin (x - h)))),K39((sin (x - h)))) is V11() V12() ext-real set
((1 / (sin x)) - (((sin x) * (sin x)) / (sin x))) - ((1 - ((sin (x - h)) * (sin (x - h)))) / (sin (x - h))) is V11() V12() ext-real Element of REAL
K38(((1 - ((sin (x - h)) * (sin (x - h)))) / (sin (x - h)))) is V11() V12() ext-real set
K36(((1 / (sin x)) - (((sin x) * (sin x)) / (sin x))),K38(((1 - ((sin (x - h)) * (sin (x - h)))) / (sin (x - h))))) is V11() V12() ext-real set
((sin (x - h)) * (sin (x - h))) / (sin (x - h)) is V11() V12() ext-real Element of REAL
K37(((sin (x - h)) * (sin (x - h))),K39((sin (x - h)))) is V11() V12() ext-real set
(1 / (sin (x - h))) - (((sin (x - h)) * (sin (x - h))) / (sin (x - h))) is V11() V12() ext-real Element of REAL
K38((((sin (x - h)) * (sin (x - h))) / (sin (x - h)))) is V11() V12() ext-real set
K36((1 / (sin (x - h))),K38((((sin (x - h)) * (sin (x - h))) / (sin (x - h))))) is V11() V12() ext-real set
((1 / (sin x)) - (sin x)) - ((1 / (sin (x - h))) - (((sin (x - h)) * (sin (x - h))) / (sin (x - h)))) is V11() V12() ext-real Element of REAL
K38(((1 / (sin (x - h))) - (((sin (x - h)) * (sin (x - h))) / (sin (x - h))))) is V11() V12() ext-real set
K36(((1 / (sin x)) - (sin x)),K38(((1 / (sin (x - h))) - (((sin (x - h)) * (sin (x - h))) / (sin (x - h)))))) is V11() V12() ext-real set
(1 / (sin (x - h))) - (sin (x - h)) is V11() V12() ext-real Element of REAL
K38((sin (x - h))) is V11() V12() ext-real set
K36((1 / (sin (x - h))),K38((sin (x - h)))) is V11() V12() ext-real set
((1 / (sin x)) - (sin x)) - ((1 / (sin (x - h))) - (sin (x - h))) is V11() V12() ext-real Element of REAL
K38(((1 / (sin (x - h))) - (sin (x - h)))) is V11() V12() ext-real set
K36(((1 / (sin x)) - (sin x)),K38(((1 / (sin (x - h))) - (sin (x - h))))) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
h / 2 is V11() V12() ext-real Element of REAL
K37(h,K39(2)) is V11() V12() ext-real set
x + (h / 2) is V11() V12() ext-real Element of REAL
x - (h / 2) is V11() V12() ext-real Element of REAL
K38((h / 2)) is V11() V12() ext-real set
K36(x,K38((h / 2))) is V11() V12() ext-real set
sin (x + (h / 2)) is V11() V12() ext-real Element of REAL
sin . (x + (h / 2)) is V11() V12() ext-real Element of REAL
1 / (sin (x + (h / 2))) is V11() V12() ext-real Element of REAL
K39((sin (x + (h / 2)))) is V11() V12() ext-real set
K37(1,K39((sin (x + (h / 2))))) is V11() V12() ext-real set
(1 / (sin (x + (h / 2)))) - (sin (x + (h / 2))) is V11() V12() ext-real Element of REAL
K38((sin (x + (h / 2)))) is V11() V12() ext-real set
K36((1 / (sin (x + (h / 2)))),K38((sin (x + (h / 2))))) is V11() V12() ext-real set
sin (x - (h / 2)) is V11() V12() ext-real Element of REAL
sin . (x - (h / 2)) is V11() V12() ext-real Element of REAL
1 / (sin (x - (h / 2))) is V11() V12() ext-real Element of REAL
K39((sin (x - (h / 2)))) is V11() V12() ext-real set
K37(1,K39((sin (x - (h / 2))))) is V11() V12() ext-real set
((1 / (sin (x + (h / 2)))) - (sin (x + (h / 2)))) - (1 / (sin (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K38((1 / (sin (x - (h / 2))))) is V11() V12() ext-real set
K36(((1 / (sin (x + (h / 2)))) - (sin (x + (h / 2)))),K38((1 / (sin (x - (h / 2)))))) is V11() V12() ext-real set
(((1 / (sin (x + (h / 2)))) - (sin (x + (h / 2)))) - (1 / (sin (x - (h / 2))))) + (sin (x - (h / 2))) is V11() V12() ext-real Element of REAL
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
cD (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
h / 2 is V11() V12() ext-real Element of REAL
Shift (f,(h / 2)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
- (h / 2) is V11() V12() ext-real Element of REAL
Shift (f,(- (h / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (f,(h / 2))) - (Shift (f,(- (h / 2)))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(cD (f,h)) . x is V11() V12() ext-real Element of REAL
f . (x + (h / 2)) is V11() V12() ext-real Element of REAL
f . (x - (h / 2)) is V11() V12() ext-real Element of REAL
(f . (x + (h / 2))) - (f . (x - (h / 2))) is V11() V12() ext-real Element of REAL
K38((f . (x - (h / 2)))) is V11() V12() ext-real set
K36((f . (x + (h / 2))),K38((f . (x - (h / 2))))) is V11() V12() ext-real set
(cot (#) cos) . (x + (h / 2)) is V11() V12() ext-real Element of REAL
((cot (#) cos) . (x + (h / 2))) - (f . (x - (h / 2))) is V11() V12() ext-real Element of REAL
K36(((cot (#) cos) . (x + (h / 2))),K38((f . (x - (h / 2))))) is V11() V12() ext-real set
(cot (#) cos) . (x - (h / 2)) is V11() V12() ext-real Element of REAL
((cot (#) cos) . (x + (h / 2))) - ((cot (#) cos) . (x - (h / 2))) is V11() V12() ext-real Element of REAL
K38(((cot (#) cos) . (x - (h / 2)))) is V11() V12() ext-real set
K36(((cot (#) cos) . (x + (h / 2))),K38(((cot (#) cos) . (x - (h / 2))))) is V11() V12() ext-real set
cot . (x + (h / 2)) is V11() V12() ext-real Element of REAL
cos . (x + (h / 2)) is V11() V12() ext-real Element of REAL
(cot . (x + (h / 2))) * (cos . (x + (h / 2))) is V11() V12() ext-real Element of REAL
((cot . (x + (h / 2))) * (cos . (x + (h / 2)))) - ((cot (#) cos) . (x - (h / 2))) is V11() V12() ext-real Element of REAL
K36(((cot . (x + (h / 2))) * (cos . (x + (h / 2)))),K38(((cot (#) cos) . (x - (h / 2))))) is V11() V12() ext-real set
cot . (x - (h / 2)) is V11() V12() ext-real Element of REAL
cos . (x - (h / 2)) is V11() V12() ext-real Element of REAL
(cot . (x - (h / 2))) * (cos . (x - (h / 2))) is V11() V12() ext-real Element of REAL
((cot . (x + (h / 2))) * (cos . (x + (h / 2)))) - ((cot . (x - (h / 2))) * (cos . (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K38(((cot . (x - (h / 2))) * (cos . (x - (h / 2))))) is V11() V12() ext-real set
K36(((cot . (x + (h / 2))) * (cos . (x + (h / 2)))),K38(((cot . (x - (h / 2))) * (cos . (x - (h / 2)))))) is V11() V12() ext-real set
sin . (x + (h / 2)) is V11() V12() ext-real Element of REAL
(sin . (x + (h / 2))) " is V11() V12() ext-real Element of REAL
(cos . (x + (h / 2))) * ((sin . (x + (h / 2))) ") is V11() V12() ext-real Element of REAL
((cos . (x + (h / 2))) * ((sin . (x + (h / 2))) ")) * (cos . (x + (h / 2))) is V11() V12() ext-real Element of REAL
(((cos . (x + (h / 2))) * ((sin . (x + (h / 2))) ")) * (cos . (x + (h / 2)))) - ((cot . (x - (h / 2))) * (cos . (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K36((((cos . (x + (h / 2))) * ((sin . (x + (h / 2))) ")) * (cos . (x + (h / 2)))),K38(((cot . (x - (h / 2))) * (cos . (x - (h / 2)))))) is V11() V12() ext-real set
cos (x + (h / 2)) is V11() V12() ext-real Element of REAL
cos . (x + (h / 2)) is V11() V12() ext-real Element of REAL
(cos (x + (h / 2))) / (sin (x + (h / 2))) is V11() V12() ext-real Element of REAL
K37((cos (x + (h / 2))),K39((sin (x + (h / 2))))) is V11() V12() ext-real set
((cos (x + (h / 2))) / (sin (x + (h / 2)))) * (cos (x + (h / 2))) is V11() V12() ext-real Element of REAL
cos (x - (h / 2)) is V11() V12() ext-real Element of REAL
cos . (x - (h / 2)) is V11() V12() ext-real Element of REAL
(cos (x - (h / 2))) / (sin (x - (h / 2))) is V11() V12() ext-real Element of REAL
K37((cos (x - (h / 2))),K39((sin (x - (h / 2))))) is V11() V12() ext-real set
((cos (x - (h / 2))) / (sin (x - (h / 2)))) * (cos (x - (h / 2))) is V11() V12() ext-real Element of REAL
(((cos (x + (h / 2))) / (sin (x + (h / 2)))) * (cos (x + (h / 2)))) - (((cos (x - (h / 2))) / (sin (x - (h / 2)))) * (cos (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K38((((cos (x - (h / 2))) / (sin (x - (h / 2)))) * (cos (x - (h / 2))))) is V11() V12() ext-real set
K36((((cos (x + (h / 2))) / (sin (x + (h / 2)))) * (cos (x + (h / 2)))),K38((((cos (x - (h / 2))) / (sin (x - (h / 2)))) * (cos (x - (h / 2)))))) is V11() V12() ext-real set
(sin (x + (h / 2))) / (cos (x + (h / 2))) is V11() V12() ext-real Element of REAL
K39((cos (x + (h / 2)))) is V11() V12() ext-real set
K37((sin (x + (h / 2))),K39((cos (x + (h / 2))))) is V11() V12() ext-real set
(cos (x + (h / 2))) / ((sin (x + (h / 2))) / (cos (x + (h / 2)))) is V11() V12() ext-real Element of REAL
K39(((sin (x + (h / 2))) / (cos (x + (h / 2))))) is V11() V12() ext-real set
K37((cos (x + (h / 2))),K39(((sin (x + (h / 2))) / (cos (x + (h / 2)))))) is V11() V12() ext-real set
((cos (x + (h / 2))) / ((sin (x + (h / 2))) / (cos (x + (h / 2))))) - (((cos (x - (h / 2))) / (sin (x - (h / 2)))) * (cos (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K36(((cos (x + (h / 2))) / ((sin (x + (h / 2))) / (cos (x + (h / 2))))),K38((((cos (x - (h / 2))) / (sin (x - (h / 2)))) * (cos (x - (h / 2)))))) is V11() V12() ext-real set
(sin (x - (h / 2))) / (cos (x - (h / 2))) is V11() V12() ext-real Element of REAL
K39((cos (x - (h / 2)))) is V11() V12() ext-real set
K37((sin (x - (h / 2))),K39((cos (x - (h / 2))))) is V11() V12() ext-real set
(cos (x - (h / 2))) / ((sin (x - (h / 2))) / (cos (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K39(((sin (x - (h / 2))) / (cos (x - (h / 2))))) is V11() V12() ext-real set
K37((cos (x - (h / 2))),K39(((sin (x - (h / 2))) / (cos (x - (h / 2)))))) is V11() V12() ext-real set
((cos (x + (h / 2))) / ((sin (x + (h / 2))) / (cos (x + (h / 2))))) - ((cos (x - (h / 2))) / ((sin (x - (h / 2))) / (cos (x - (h / 2))))) is V11() V12() ext-real Element of REAL
K38(((cos (x - (h / 2))) / ((sin (x - (h / 2))) / (cos (x - (h / 2)))))) is V11() V12() ext-real set
K36(((cos (x + (h / 2))) / ((sin (x + (h / 2))) / (cos (x + (h / 2))))),K38(((cos (x - (h / 2))) / ((sin (x - (h / 2))) / (cos (x - (h / 2))))))) is V11() V12() ext-real set
(cos (x + (h / 2))) * (cos (x + (h / 2))) is V11() V12() ext-real Element of REAL
((cos (x + (h / 2))) * (cos (x + (h / 2)))) / (sin (x + (h / 2))) is V11() V12() ext-real Element of REAL
K37(((cos (x + (h / 2))) * (cos (x + (h / 2)))),K39((sin (x + (h / 2))))) is V11() V12() ext-real set
(((cos (x + (h / 2))) * (cos (x + (h / 2)))) / (sin (x + (h / 2)))) - ((cos (x - (h / 2))) / ((sin (x - (h / 2))) / (cos (x - (h / 2))))) is V11() V12() ext-real Element of REAL
K36((((cos (x + (h / 2))) * (cos (x + (h / 2)))) / (sin (x + (h / 2)))),K38(((cos (x - (h / 2))) / ((sin (x - (h / 2))) / (cos (x - (h / 2))))))) is V11() V12() ext-real set
(cos (x - (h / 2))) * (cos (x - (h / 2))) is V11() V12() ext-real Element of REAL
((cos (x - (h / 2))) * (cos (x - (h / 2)))) / (sin (x - (h / 2))) is V11() V12() ext-real Element of REAL
K37(((cos (x - (h / 2))) * (cos (x - (h / 2)))),K39((sin (x - (h / 2))))) is V11() V12() ext-real set
(((cos (x + (h / 2))) * (cos (x + (h / 2)))) / (sin (x + (h / 2)))) - (((cos (x - (h / 2))) * (cos (x - (h / 2)))) / (sin (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K38((((cos (x - (h / 2))) * (cos (x - (h / 2)))) / (sin (x - (h / 2))))) is V11() V12() ext-real set
K36((((cos (x + (h / 2))) * (cos (x + (h / 2)))) / (sin (x + (h / 2)))),K38((((cos (x - (h / 2))) * (cos (x - (h / 2)))) / (sin (x - (h / 2)))))) is V11() V12() ext-real set
(sin (x + (h / 2))) * (sin (x + (h / 2))) is V11() V12() ext-real Element of REAL
1 - ((sin (x + (h / 2))) * (sin (x + (h / 2)))) is V11() V12() ext-real Element of REAL
K38(((sin (x + (h / 2))) * (sin (x + (h / 2))))) is V11() V12() ext-real set
K36(1,K38(((sin (x + (h / 2))) * (sin (x + (h / 2)))))) is V11() V12() ext-real set
(1 - ((sin (x + (h / 2))) * (sin (x + (h / 2))))) / (sin (x + (h / 2))) is V11() V12() ext-real Element of REAL
K37((1 - ((sin (x + (h / 2))) * (sin (x + (h / 2))))),K39((sin (x + (h / 2))))) is V11() V12() ext-real set
((1 - ((sin (x + (h / 2))) * (sin (x + (h / 2))))) / (sin (x + (h / 2)))) - (((cos (x - (h / 2))) * (cos (x - (h / 2)))) / (sin (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K36(((1 - ((sin (x + (h / 2))) * (sin (x + (h / 2))))) / (sin (x + (h / 2)))),K38((((cos (x - (h / 2))) * (cos (x - (h / 2)))) / (sin (x - (h / 2)))))) is V11() V12() ext-real set
((sin (x + (h / 2))) * (sin (x + (h / 2)))) / (sin (x + (h / 2))) is V11() V12() ext-real Element of REAL
K37(((sin (x + (h / 2))) * (sin (x + (h / 2)))),K39((sin (x + (h / 2))))) is V11() V12() ext-real set
(1 / (sin (x + (h / 2)))) - (((sin (x + (h / 2))) * (sin (x + (h / 2)))) / (sin (x + (h / 2)))) is V11() V12() ext-real Element of REAL
K38((((sin (x + (h / 2))) * (sin (x + (h / 2)))) / (sin (x + (h / 2))))) is V11() V12() ext-real set
K36((1 / (sin (x + (h / 2)))),K38((((sin (x + (h / 2))) * (sin (x + (h / 2)))) / (sin (x + (h / 2)))))) is V11() V12() ext-real set
(sin (x - (h / 2))) * (sin (x - (h / 2))) is V11() V12() ext-real Element of REAL
1 - ((sin (x - (h / 2))) * (sin (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K38(((sin (x - (h / 2))) * (sin (x - (h / 2))))) is V11() V12() ext-real set
K36(1,K38(((sin (x - (h / 2))) * (sin (x - (h / 2)))))) is V11() V12() ext-real set
(1 - ((sin (x - (h / 2))) * (sin (x - (h / 2))))) / (sin (x - (h / 2))) is V11() V12() ext-real Element of REAL
K37((1 - ((sin (x - (h / 2))) * (sin (x - (h / 2))))),K39((sin (x - (h / 2))))) is V11() V12() ext-real set
((1 / (sin (x + (h / 2)))) - (((sin (x + (h / 2))) * (sin (x + (h / 2)))) / (sin (x + (h / 2))))) - ((1 - ((sin (x - (h / 2))) * (sin (x - (h / 2))))) / (sin (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K38(((1 - ((sin (x - (h / 2))) * (sin (x - (h / 2))))) / (sin (x - (h / 2))))) is V11() V12() ext-real set
K36(((1 / (sin (x + (h / 2)))) - (((sin (x + (h / 2))) * (sin (x + (h / 2)))) / (sin (x + (h / 2))))),K38(((1 - ((sin (x - (h / 2))) * (sin (x - (h / 2))))) / (sin (x - (h / 2)))))) is V11() V12() ext-real set
((sin (x - (h / 2))) * (sin (x - (h / 2)))) / (sin (x - (h / 2))) is V11() V12() ext-real Element of REAL
K37(((sin (x - (h / 2))) * (sin (x - (h / 2)))),K39((sin (x - (h / 2))))) is V11() V12() ext-real set
(1 / (sin (x - (h / 2)))) - (((sin (x - (h / 2))) * (sin (x - (h / 2)))) / (sin (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K38((((sin (x - (h / 2))) * (sin (x - (h / 2)))) / (sin (x - (h / 2))))) is V11() V12() ext-real set
K36((1 / (sin (x - (h / 2)))),K38((((sin (x - (h / 2))) * (sin (x - (h / 2)))) / (sin (x - (h / 2)))))) is V11() V12() ext-real set
((1 / (sin (x + (h / 2)))) - (sin (x + (h / 2)))) - ((1 / (sin (x - (h / 2)))) - (((sin (x - (h / 2))) * (sin (x - (h / 2)))) / (sin (x - (h / 2))))) is V11() V12() ext-real Element of REAL
K38(((1 / (sin (x - (h / 2)))) - (((sin (x - (h / 2))) * (sin (x - (h / 2)))) / (sin (x - (h / 2)))))) is V11() V12() ext-real set
K36(((1 / (sin (x + (h / 2)))) - (sin (x + (h / 2)))),K38(((1 / (sin (x - (h / 2)))) - (((sin (x - (h / 2))) * (sin (x - (h / 2)))) / (sin (x - (h / 2))))))) is V11() V12() ext-real set
(1 / (sin (x - (h / 2)))) - (sin (x - (h / 2))) is V11() V12() ext-real Element of REAL
K38((sin (x - (h / 2)))) is V11() V12() ext-real set
K36((1 / (sin (x - (h / 2)))),K38((sin (x - (h / 2))))) is V11() V12() ext-real set
((1 / (sin (x + (h / 2)))) - (sin (x + (h / 2)))) - ((1 / (sin (x - (h / 2)))) - (sin (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K38(((1 / (sin (x - (h / 2)))) - (sin (x - (h / 2))))) is V11() V12() ext-real set
K36(((1 / (sin (x + (h / 2)))) - (sin (x + (h / 2)))),K38(((1 / (sin (x - (h / 2)))) - (sin (x - (h / 2)))))) is V11() V12() ext-real set
cot (#) sin is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
x is V11() V12() ext-real Element of REAL
cos x is V11() V12() ext-real Element of REAL
cos . x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
cos h is V11() V12() ext-real Element of REAL
cos . h is V11() V12() ext-real Element of REAL
(cos x) - (cos h) is V11() V12() ext-real Element of REAL
K38((cos h)) is V11() V12() ext-real set
K36((cos x),K38((cos h))) is V11() V12() ext-real set
x - h is V11() V12() ext-real Element of REAL
K38(h) is V11() V12() ext-real set
K36(x,K38(h)) is V11() V12() ext-real set
((cos x) - (cos h)) / (x - h) is V11() V12() ext-real Element of REAL
K39((x - h)) is V11() V12() ext-real set
K37(((cos x) - (cos h)),K39((x - h))) is V11() V12() ext-real set
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
[!f,x,h!] is V11() V12() ext-real Element of REAL
f . x is V11() V12() ext-real Element of REAL
f . h is V11() V12() ext-real Element of REAL
(f . x) - (f . h) is V11() V12() ext-real Element of REAL
K38((f . h)) is V11() V12() ext-real set
K36((f . x),K38((f . h))) is V11() V12() ext-real set
K40(x,h) is V11() V12() ext-real set
((f . x) - (f . h)) / K40(x,h) is V11() V12() ext-real Element of REAL
K39(K40(x,h)) is V11() V12() ext-real set
K37(((f . x) - (f . h)),K39(K40(x,h))) is V11() V12() ext-real set
f . x is V11() V12() ext-real Element of REAL
(cot (#) sin) . x is V11() V12() ext-real Element of REAL
f . h is V11() V12() ext-real Element of REAL
(cot (#) sin) . h is V11() V12() ext-real Element of REAL
cot . x is V11() V12() ext-real Element of REAL
sin . x is V11() V12() ext-real Element of REAL
(cot . x) * (sin . x) is V11() V12() ext-real Element of REAL
((cot . x) * (sin . x)) - ((cot (#) sin) . h) is V11() V12() ext-real Element of REAL
K38(((cot (#) sin) . h)) is V11() V12() ext-real set
K36(((cot . x) * (sin . x)),K38(((cot (#) sin) . h))) is V11() V12() ext-real set
(((cot . x) * (sin . x)) - ((cot (#) sin) . h)) / (x - h) is V11() V12() ext-real Element of REAL
K37((((cot . x) * (sin . x)) - ((cot (#) sin) . h)),K39((x - h))) is V11() V12() ext-real set
cot . h is V11() V12() ext-real Element of REAL
sin . h is V11() V12() ext-real Element of REAL
(cot . h) * (sin . h) is V11() V12() ext-real Element of REAL
((cot . x) * (sin . x)) - ((cot . h) * (sin . h)) is V11() V12() ext-real Element of REAL
K38(((cot . h) * (sin . h))) is V11() V12() ext-real set
K36(((cot . x) * (sin . x)),K38(((cot . h) * (sin . h)))) is V11() V12() ext-real set
(((cot . x) * (sin . x)) - ((cot . h) * (sin . h))) / (x - h) is V11() V12() ext-real Element of REAL
K37((((cot . x) * (sin . x)) - ((cot . h) * (sin . h))),K39((x - h))) is V11() V12() ext-real set
cos . x is V11() V12() ext-real Element of REAL
(sin . x) " is V11() V12() ext-real Element of REAL
(cos . x) * ((sin . x) ") is V11() V12() ext-real Element of REAL
((cos . x) * ((sin . x) ")) * (sin . x) is V11() V12() ext-real Element of REAL
(((cos . x) * ((sin . x) ")) * (sin . x)) - ((cot . h) * (sin . h)) is V11() V12() ext-real Element of REAL
K36((((cos . x) * ((sin . x) ")) * (sin . x)),K38(((cot . h) * (sin . h)))) is V11() V12() ext-real set
((((cos . x) * ((sin . x) ")) * (sin . x)) - ((cot . h) * (sin . h))) / (x - h) is V11() V12() ext-real Element of REAL
K37(((((cos . x) * ((sin . x) ")) * (sin . x)) - ((cot . h) * (sin . h))),K39((x - h))) is V11() V12() ext-real set
sin x is V11() V12() ext-real Element of REAL
sin . x is V11() V12() ext-real Element of REAL
(cos x) / (sin x) is V11() V12() ext-real Element of REAL
K39((sin x)) is V11() V12() ext-real set
K37((cos x),K39((sin x))) is V11() V12() ext-real set
((cos x) / (sin x)) * (sin x) is V11() V12() ext-real Element of REAL
sin h is V11() V12() ext-real Element of REAL
sin . h is V11() V12() ext-real Element of REAL
(cos h) / (sin h) is V11() V12() ext-real Element of REAL
K39((sin h)) is V11() V12() ext-real set
K37((cos h),K39((sin h))) is V11() V12() ext-real set
((cos h) / (sin h)) * (sin h) is V11() V12() ext-real Element of REAL
(((cos x) / (sin x)) * (sin x)) - (((cos h) / (sin h)) * (sin h)) is V11() V12() ext-real Element of REAL
K38((((cos h) / (sin h)) * (sin h))) is V11() V12() ext-real set
K36((((cos x) / (sin x)) * (sin x)),K38((((cos h) / (sin h)) * (sin h)))) is V11() V12() ext-real set
((((cos x) / (sin x)) * (sin x)) - (((cos h) / (sin h)) * (sin h))) / (x - h) is V11() V12() ext-real Element of REAL
K37(((((cos x) / (sin x)) * (sin x)) - (((cos h) / (sin h)) * (sin h))),K39((x - h))) is V11() V12() ext-real set
(sin x) / (sin x) is V11() V12() ext-real Element of REAL
K37((sin x),K39((sin x))) is V11() V12() ext-real set
(cos x) / ((sin x) / (sin x)) is V11() V12() ext-real Element of REAL
K39(((sin x) / (sin x))) is V11() V12() ext-real set
K37((cos x),K39(((sin x) / (sin x)))) is V11() V12() ext-real set
((cos x) / ((sin x) / (sin x))) - (((cos h) / (sin h)) * (sin h)) is V11() V12() ext-real Element of REAL
K36(((cos x) / ((sin x) / (sin x))),K38((((cos h) / (sin h)) * (sin h)))) is V11() V12() ext-real set
(((cos x) / ((sin x) / (sin x))) - (((cos h) / (sin h)) * (sin h))) / (x - h) is V11() V12() ext-real Element of REAL
K37((((cos x) / ((sin x) / (sin x))) - (((cos h) / (sin h)) * (sin h))),K39((x - h))) is V11() V12() ext-real set
1 / (sin x) is V11() V12() ext-real Element of REAL
K37(1,K39((sin x))) is V11() V12() ext-real set
(sin x) * (1 / (sin x)) is V11() V12() ext-real Element of REAL
(cos x) / ((sin x) * (1 / (sin x))) is V11() V12() ext-real Element of REAL
K39(((sin x) * (1 / (sin x)))) is V11() V12() ext-real set
K37((cos x),K39(((sin x) * (1 / (sin x))))) is V11() V12() ext-real set
(sin h) / (sin h) is V11() V12() ext-real Element of REAL
K37((sin h),K39((sin h))) is V11() V12() ext-real set
(cos h) / ((sin h) / (sin h)) is V11() V12() ext-real Element of REAL
K39(((sin h) / (sin h))) is V11() V12() ext-real set
K37((cos h),K39(((sin h) / (sin h)))) is V11() V12() ext-real set
((cos x) / ((sin x) * (1 / (sin x)))) - ((cos h) / ((sin h) / (sin h))) is V11() V12() ext-real Element of REAL
K38(((cos h) / ((sin h) / (sin h)))) is V11() V12() ext-real set
K36(((cos x) / ((sin x) * (1 / (sin x)))),K38(((cos h) / ((sin h) / (sin h))))) is V11() V12() ext-real set
(((cos x) / ((sin x) * (1 / (sin x)))) - ((cos h) / ((sin h) / (sin h)))) / (x - h) is V11() V12() ext-real Element of REAL
K37((((cos x) / ((sin x) * (1 / (sin x)))) - ((cos h) / ((sin h) / (sin h)))),K39((x - h))) is V11() V12() ext-real set
(cos x) / 1 is V11() V12() ext-real Element of REAL
K39(1) is V1() V11() V12() ext-real positive set
K37((cos x),K39(1)) is V11() V12() ext-real set
1 / (sin h) is V11() V12() ext-real Element of REAL
K37(1,K39((sin h))) is V11() V12() ext-real set
(sin h) * (1 / (sin h)) is V11() V12() ext-real Element of REAL
(cos h) / ((sin h) * (1 / (sin h))) is V11() V12() ext-real Element of REAL
K39(((sin h) * (1 / (sin h)))) is V11() V12() ext-real set
K37((cos h),K39(((sin h) * (1 / (sin h))))) is V11() V12() ext-real set
((cos x) / 1) - ((cos h) / ((sin h) * (1 / (sin h)))) is V11() V12() ext-real Element of REAL
K38(((cos h) / ((sin h) * (1 / (sin h))))) is V11() V12() ext-real set
K36(((cos x) / 1),K38(((cos h) / ((sin h) * (1 / (sin h)))))) is V11() V12() ext-real set
(((cos x) / 1) - ((cos h) / ((sin h) * (1 / (sin h))))) / (x - h) is V11() V12() ext-real Element of REAL
K37((((cos x) / 1) - ((cos h) / ((sin h) * (1 / (sin h))))),K39((x - h))) is V11() V12() ext-real set
(cos h) / 1 is V11() V12() ext-real Element of REAL
K37((cos h),K39(1)) is V11() V12() ext-real set
((cos x) / 1) - ((cos h) / 1) is V11() V12() ext-real Element of REAL
K38(((cos h) / 1)) is V11() V12() ext-real set
K36(((cos x) / 1),K38(((cos h) / 1))) is V11() V12() ext-real set
(((cos x) / 1) - ((cos h) / 1)) / (x - h) is V11() V12() ext-real Element of REAL
K37((((cos x) / 1) - ((cos h) / 1)),K39((x - h))) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
cos x is V11() V12() ext-real Element of REAL
cos . x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
x + h is V11() V12() ext-real Element of REAL
cos (x + h) is V11() V12() ext-real Element of REAL
cos . (x + h) is V11() V12() ext-real Element of REAL
(cos (x + h)) - (cos x) is V11() V12() ext-real Element of REAL
K38((cos x)) is V11() V12() ext-real set
K36((cos (x + h)),K38((cos x))) is V11() V12() ext-real set
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
fD (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (f,h)) - f is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(fD (f,h)) . x is V11() V12() ext-real Element of REAL
f . (x + h) is V11() V12() ext-real Element of REAL
f . x is V11() V12() ext-real Element of REAL
(f . (x + h)) - (f . x) is V11() V12() ext-real Element of REAL
K38((f . x)) is V11() V12() ext-real set
K36((f . (x + h)),K38((f . x))) is V11() V12() ext-real set
(cot (#) sin) . (x + h) is V11() V12() ext-real Element of REAL
((cot (#) sin) . (x + h)) - (f . x) is V11() V12() ext-real Element of REAL
K36(((cot (#) sin) . (x + h)),K38((f . x))) is V11() V12() ext-real set
(cot (#) sin) . x is V11() V12() ext-real Element of REAL
((cot (#) sin) . (x + h)) - ((cot (#) sin) . x) is V11() V12() ext-real Element of REAL
K38(((cot (#) sin) . x)) is V11() V12() ext-real set
K36(((cot (#) sin) . (x + h)),K38(((cot (#) sin) . x))) is V11() V12() ext-real set
cot . (x + h) is V11() V12() ext-real Element of REAL
sin . (x + h) is V11() V12() ext-real Element of REAL
(cot . (x + h)) * (sin . (x + h)) is V11() V12() ext-real Element of REAL
((cot . (x + h)) * (sin . (x + h))) - ((cot (#) sin) . x) is V11() V12() ext-real Element of REAL
K36(((cot . (x + h)) * (sin . (x + h))),K38(((cot (#) sin) . x))) is V11() V12() ext-real set
cot . x is V11() V12() ext-real Element of REAL
sin . x is V11() V12() ext-real Element of REAL
(cot . x) * (sin . x) is V11() V12() ext-real Element of REAL
((cot . (x + h)) * (sin . (x + h))) - ((cot . x) * (sin . x)) is V11() V12() ext-real Element of REAL
K38(((cot . x) * (sin . x))) is V11() V12() ext-real set
K36(((cot . (x + h)) * (sin . (x + h))),K38(((cot . x) * (sin . x)))) is V11() V12() ext-real set
cos . (x + h) is V11() V12() ext-real Element of REAL
(sin . (x + h)) " is V11() V12() ext-real Element of REAL
(cos . (x + h)) * ((sin . (x + h)) ") is V11() V12() ext-real Element of REAL
((cos . (x + h)) * ((sin . (x + h)) ")) * (sin . (x + h)) is V11() V12() ext-real Element of REAL
(((cos . (x + h)) * ((sin . (x + h)) ")) * (sin . (x + h))) - ((cot . x) * (sin . x)) is V11() V12() ext-real Element of REAL
K36((((cos . (x + h)) * ((sin . (x + h)) ")) * (sin . (x + h))),K38(((cot . x) * (sin . x)))) is V11() V12() ext-real set
sin (x + h) is V11() V12() ext-real Element of REAL
sin . (x + h) is V11() V12() ext-real Element of REAL
(cos (x + h)) / (sin (x + h)) is V11() V12() ext-real Element of REAL
K39((sin (x + h))) is V11() V12() ext-real set
K37((cos (x + h)),K39((sin (x + h)))) is V11() V12() ext-real set
((cos (x + h)) / (sin (x + h))) * (sin (x + h)) is V11() V12() ext-real Element of REAL
sin x is V11() V12() ext-real Element of REAL
sin . x is V11() V12() ext-real Element of REAL
(cos x) / (sin x) is V11() V12() ext-real Element of REAL
K39((sin x)) is V11() V12() ext-real set
K37((cos x),K39((sin x))) is V11() V12() ext-real set
((cos x) / (sin x)) * (sin x) is V11() V12() ext-real Element of REAL
(((cos (x + h)) / (sin (x + h))) * (sin (x + h))) - (((cos x) / (sin x)) * (sin x)) is V11() V12() ext-real Element of REAL
K38((((cos x) / (sin x)) * (sin x))) is V11() V12() ext-real set
K36((((cos (x + h)) / (sin (x + h))) * (sin (x + h))),K38((((cos x) / (sin x)) * (sin x)))) is V11() V12() ext-real set
(sin (x + h)) / (sin (x + h)) is V11() V12() ext-real Element of REAL
K37((sin (x + h)),K39((sin (x + h)))) is V11() V12() ext-real set
(cos (x + h)) / ((sin (x + h)) / (sin (x + h))) is V11() V12() ext-real Element of REAL
K39(((sin (x + h)) / (sin (x + h)))) is V11() V12() ext-real set
K37((cos (x + h)),K39(((sin (x + h)) / (sin (x + h))))) is V11() V12() ext-real set
((cos (x + h)) / ((sin (x + h)) / (sin (x + h)))) - (((cos x) / (sin x)) * (sin x)) is V11() V12() ext-real Element of REAL
K36(((cos (x + h)) / ((sin (x + h)) / (sin (x + h)))),K38((((cos x) / (sin x)) * (sin x)))) is V11() V12() ext-real set
1 / (sin (x + h)) is V11() V12() ext-real Element of REAL
K37(1,K39((sin (x + h)))) is V11() V12() ext-real set
(sin (x + h)) * (1 / (sin (x + h))) is V11() V12() ext-real Element of REAL
(cos (x + h)) / ((sin (x + h)) * (1 / (sin (x + h)))) is V11() V12() ext-real Element of REAL
K39(((sin (x + h)) * (1 / (sin (x + h))))) is V11() V12() ext-real set
K37((cos (x + h)),K39(((sin (x + h)) * (1 / (sin (x + h)))))) is V11() V12() ext-real set
(sin x) / (sin x) is V11() V12() ext-real Element of REAL
K37((sin x),K39((sin x))) is V11() V12() ext-real set
(cos x) / ((sin x) / (sin x)) is V11() V12() ext-real Element of REAL
K39(((sin x) / (sin x))) is V11() V12() ext-real set
K37((cos x),K39(((sin x) / (sin x)))) is V11() V12() ext-real set
((cos (x + h)) / ((sin (x + h)) * (1 / (sin (x + h))))) - ((cos x) / ((sin x) / (sin x))) is V11() V12() ext-real Element of REAL
K38(((cos x) / ((sin x) / (sin x)))) is V11() V12() ext-real set
K36(((cos (x + h)) / ((sin (x + h)) * (1 / (sin (x + h))))),K38(((cos x) / ((sin x) / (sin x))))) is V11() V12() ext-real set
(cos (x + h)) / 1 is V11() V12() ext-real Element of REAL
K39(1) is V1() V11() V12() ext-real positive set
K37((cos (x + h)),K39(1)) is V11() V12() ext-real set
1 / (sin x) is V11() V12() ext-real Element of REAL
K37(1,K39((sin x))) is V11() V12() ext-real set
(sin x) * (1 / (sin x)) is V11() V12() ext-real Element of REAL
(cos x) / ((sin x) * (1 / (sin x))) is V11() V12() ext-real Element of REAL
K39(((sin x) * (1 / (sin x)))) is V11() V12() ext-real set
K37((cos x),K39(((sin x) * (1 / (sin x))))) is V11() V12() ext-real set
((cos (x + h)) / 1) - ((cos x) / ((sin x) * (1 / (sin x)))) is V11() V12() ext-real Element of REAL
K38(((cos x) / ((sin x) * (1 / (sin x))))) is V11() V12() ext-real set
K36(((cos (x + h)) / 1),K38(((cos x) / ((sin x) * (1 / (sin x)))))) is V11() V12() ext-real set
(cos x) / 1 is V11() V12() ext-real Element of REAL
K37((cos x),K39(1)) is V11() V12() ext-real set
((cos (x + h)) / 1) - ((cos x) / 1) is V11() V12() ext-real Element of REAL
K38(((cos x) / 1)) is V11() V12() ext-real set
K36(((cos (x + h)) / 1),K38(((cos x) / 1))) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
cos x is V11() V12() ext-real Element of REAL
cos . x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
x - h is V11() V12() ext-real Element of REAL
K38(h) is V11() V12() ext-real set
K36(x,K38(h)) is V11() V12() ext-real set
cos (x - h) is V11() V12() ext-real Element of REAL
cos . (x - h) is V11() V12() ext-real Element of REAL
(cos x) - (cos (x - h)) is V11() V12() ext-real Element of REAL
K38((cos (x - h))) is V11() V12() ext-real set
K36((cos x),K38((cos (x - h)))) is V11() V12() ext-real set
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
bD (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (f,K38(h)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
f - (Shift (f,K38(h))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(bD (f,h)) . x is V11() V12() ext-real Element of REAL
f . x is V11() V12() ext-real Element of REAL
f . (x - h) is V11() V12() ext-real Element of REAL
(f . x) - (f . (x - h)) is V11() V12() ext-real Element of REAL
K38((f . (x - h))) is V11() V12() ext-real set
K36((f . x),K38((f . (x - h)))) is V11() V12() ext-real set
(cot (#) sin) . x is V11() V12() ext-real Element of REAL
((cot (#) sin) . x) - (f . (x - h)) is V11() V12() ext-real Element of REAL
K36(((cot (#) sin) . x),K38((f . (x - h)))) is V11() V12() ext-real set
(cot (#) sin) . (x - h) is V11() V12() ext-real Element of REAL
((cot (#) sin) . x) - ((cot (#) sin) . (x - h)) is V11() V12() ext-real Element of REAL
K38(((cot (#) sin) . (x - h))) is V11() V12() ext-real set
K36(((cot (#) sin) . x),K38(((cot (#) sin) . (x - h)))) is V11() V12() ext-real set
cot . x is V11() V12() ext-real Element of REAL
sin . x is V11() V12() ext-real Element of REAL
(cot . x) * (sin . x) is V11() V12() ext-real Element of REAL
((cot . x) * (sin . x)) - ((cot (#) sin) . (x - h)) is V11() V12() ext-real Element of REAL
K36(((cot . x) * (sin . x)),K38(((cot (#) sin) . (x - h)))) is V11() V12() ext-real set
cot . (x - h) is V11() V12() ext-real Element of REAL
sin . (x - h) is V11() V12() ext-real Element of REAL
(cot . (x - h)) * (sin . (x - h)) is V11() V12() ext-real Element of REAL
((cot . x) * (sin . x)) - ((cot . (x - h)) * (sin . (x - h))) is V11() V12() ext-real Element of REAL
K38(((cot . (x - h)) * (sin . (x - h)))) is V11() V12() ext-real set
K36(((cot . x) * (sin . x)),K38(((cot . (x - h)) * (sin . (x - h))))) is V11() V12() ext-real set
cos . x is V11() V12() ext-real Element of REAL
(sin . x) " is V11() V12() ext-real Element of REAL
(cos . x) * ((sin . x) ") is V11() V12() ext-real Element of REAL
((cos . x) * ((sin . x) ")) * (sin . x) is V11() V12() ext-real Element of REAL
(((cos . x) * ((sin . x) ")) * (sin . x)) - ((cot . (x - h)) * (sin . (x - h))) is V11() V12() ext-real Element of REAL
K36((((cos . x) * ((sin . x) ")) * (sin . x)),K38(((cot . (x - h)) * (sin . (x - h))))) is V11() V12() ext-real set
sin x is V11() V12() ext-real Element of REAL
sin . x is V11() V12() ext-real Element of REAL
(cos x) / (sin x) is V11() V12() ext-real Element of REAL
K39((sin x)) is V11() V12() ext-real set
K37((cos x),K39((sin x))) is V11() V12() ext-real set
((cos x) / (sin x)) * (sin x) is V11() V12() ext-real Element of REAL
sin (x - h) is V11() V12() ext-real Element of REAL
sin . (x - h) is V11() V12() ext-real Element of REAL
(cos (x - h)) / (sin (x - h)) is V11() V12() ext-real Element of REAL
K39((sin (x - h))) is V11() V12() ext-real set
K37((cos (x - h)),K39((sin (x - h)))) is V11() V12() ext-real set
((cos (x - h)) / (sin (x - h))) * (sin (x - h)) is V11() V12() ext-real Element of REAL
(((cos x) / (sin x)) * (sin x)) - (((cos (x - h)) / (sin (x - h))) * (sin (x - h))) is V11() V12() ext-real Element of REAL
K38((((cos (x - h)) / (sin (x - h))) * (sin (x - h)))) is V11() V12() ext-real set
K36((((cos x) / (sin x)) * (sin x)),K38((((cos (x - h)) / (sin (x - h))) * (sin (x - h))))) is V11() V12() ext-real set
(sin x) / (sin x) is V11() V12() ext-real Element of REAL
K37((sin x),K39((sin x))) is V11() V12() ext-real set
(cos x) / ((sin x) / (sin x)) is V11() V12() ext-real Element of REAL
K39(((sin x) / (sin x))) is V11() V12() ext-real set
K37((cos x),K39(((sin x) / (sin x)))) is V11() V12() ext-real set
((cos x) / ((sin x) / (sin x))) - (((cos (x - h)) / (sin (x - h))) * (sin (x - h))) is V11() V12() ext-real Element of REAL
K36(((cos x) / ((sin x) / (sin x))),K38((((cos (x - h)) / (sin (x - h))) * (sin (x - h))))) is V11() V12() ext-real set
1 / (sin x) is V11() V12() ext-real Element of REAL
K37(1,K39((sin x))) is V11() V12() ext-real set
(sin x) * (1 / (sin x)) is V11() V12() ext-real Element of REAL
(cos x) / ((sin x) * (1 / (sin x))) is V11() V12() ext-real Element of REAL
K39(((sin x) * (1 / (sin x)))) is V11() V12() ext-real set
K37((cos x),K39(((sin x) * (1 / (sin x))))) is V11() V12() ext-real set
(sin (x - h)) / (sin (x - h)) is V11() V12() ext-real Element of REAL
K37((sin (x - h)),K39((sin (x - h)))) is V11() V12() ext-real set
(cos (x - h)) / ((sin (x - h)) / (sin (x - h))) is V11() V12() ext-real Element of REAL
K39(((sin (x - h)) / (sin (x - h)))) is V11() V12() ext-real set
K37((cos (x - h)),K39(((sin (x - h)) / (sin (x - h))))) is V11() V12() ext-real set
((cos x) / ((sin x) * (1 / (sin x)))) - ((cos (x - h)) / ((sin (x - h)) / (sin (x - h)))) is V11() V12() ext-real Element of REAL
K38(((cos (x - h)) / ((sin (x - h)) / (sin (x - h))))) is V11() V12() ext-real set
K36(((cos x) / ((sin x) * (1 / (sin x)))),K38(((cos (x - h)) / ((sin (x - h)) / (sin (x - h)))))) is V11() V12() ext-real set
(cos x) / 1 is V11() V12() ext-real Element of REAL
K39(1) is V1() V11() V12() ext-real positive set
K37((cos x),K39(1)) is V11() V12() ext-real set
1 / (sin (x - h)) is V11() V12() ext-real Element of REAL
K37(1,K39((sin (x - h)))) is V11() V12() ext-real set
(sin (x - h)) * (1 / (sin (x - h))) is V11() V12() ext-real Element of REAL
(cos (x - h)) / ((sin (x - h)) * (1 / (sin (x - h)))) is V11() V12() ext-real Element of REAL
K39(((sin (x - h)) * (1 / (sin (x - h))))) is V11() V12() ext-real set
K37((cos (x - h)),K39(((sin (x - h)) * (1 / (sin (x - h)))))) is V11() V12() ext-real set
((cos x) / 1) - ((cos (x - h)) / ((sin (x - h)) * (1 / (sin (x - h))))) is V11() V12() ext-real Element of REAL
K38(((cos (x - h)) / ((sin (x - h)) * (1 / (sin (x - h)))))) is V11() V12() ext-real set
K36(((cos x) / 1),K38(((cos (x - h)) / ((sin (x - h)) * (1 / (sin (x - h))))))) is V11() V12() ext-real set
(cos (x - h)) / 1 is V11() V12() ext-real Element of REAL
K37((cos (x - h)),K39(1)) is V11() V12() ext-real set
((cos x) / 1) - ((cos (x - h)) / 1) is V11() V12() ext-real Element of REAL
K38(((cos (x - h)) / 1)) is V11() V12() ext-real set
K36(((cos x) / 1),K38(((cos (x - h)) / 1))) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
h / 2 is V11() V12() ext-real Element of REAL
K37(h,K39(2)) is V11() V12() ext-real set
x + (h / 2) is V11() V12() ext-real Element of REAL
x - (h / 2) is V11() V12() ext-real Element of REAL
K38((h / 2)) is V11() V12() ext-real set
K36(x,K38((h / 2))) is V11() V12() ext-real set
cos (x + (h / 2)) is V11() V12() ext-real Element of REAL
cos . (x + (h / 2)) is V11() V12() ext-real Element of REAL
cos (x - (h / 2)) is V11() V12() ext-real Element of REAL
cos . (x - (h / 2)) is V11() V12() ext-real Element of REAL
(cos (x + (h / 2))) - (cos (x - (h / 2))) is V11() V12() ext-real Element of REAL
K38((cos (x - (h / 2)))) is V11() V12() ext-real set
K36((cos (x + (h / 2))),K38((cos (x - (h / 2))))) is V11() V12() ext-real set
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
cD (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
h / 2 is V11() V12() ext-real Element of REAL
Shift (f,(h / 2)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
- (h / 2) is V11() V12() ext-real Element of REAL
Shift (f,(- (h / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (f,(h / 2))) - (Shift (f,(- (h / 2)))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(cD (f,h)) . x is V11() V12() ext-real Element of REAL
f . (x + (h / 2)) is V11() V12() ext-real Element of REAL
f . (x - (h / 2)) is V11() V12() ext-real Element of REAL
(f . (x + (h / 2))) - (f . (x - (h / 2))) is V11() V12() ext-real Element of REAL
K38((f . (x - (h / 2)))) is V11() V12() ext-real set
K36((f . (x + (h / 2))),K38((f . (x - (h / 2))))) is V11() V12() ext-real set
(cot (#) sin) . (x + (h / 2)) is V11() V12() ext-real Element of REAL
((cot (#) sin) . (x + (h / 2))) - (f . (x - (h / 2))) is V11() V12() ext-real Element of REAL
K36(((cot (#) sin) . (x + (h / 2))),K38((f . (x - (h / 2))))) is V11() V12() ext-real set
(cot (#) sin) . (x - (h / 2)) is V11() V12() ext-real Element of REAL
((cot (#) sin) . (x + (h / 2))) - ((cot (#) sin) . (x - (h / 2))) is V11() V12() ext-real Element of REAL
K38(((cot (#) sin) . (x - (h / 2)))) is V11() V12() ext-real set
K36(((cot (#) sin) . (x + (h / 2))),K38(((cot (#) sin) . (x - (h / 2))))) is V11() V12() ext-real set
cot . (x + (h / 2)) is V11() V12() ext-real Element of REAL
sin . (x + (h / 2)) is V11() V12() ext-real Element of REAL
(cot . (x + (h / 2))) * (sin . (x + (h / 2))) is V11() V12() ext-real Element of REAL
((cot . (x + (h / 2))) * (sin . (x + (h / 2)))) - ((cot (#) sin) . (x - (h / 2))) is V11() V12() ext-real Element of REAL
K36(((cot . (x + (h / 2))) * (sin . (x + (h / 2)))),K38(((cot (#) sin) . (x - (h / 2))))) is V11() V12() ext-real set
cot . (x - (h / 2)) is V11() V12() ext-real Element of REAL
sin . (x - (h / 2)) is V11() V12() ext-real Element of REAL
(cot . (x - (h / 2))) * (sin . (x - (h / 2))) is V11() V12() ext-real Element of REAL
((cot . (x + (h / 2))) * (sin . (x + (h / 2)))) - ((cot . (x - (h / 2))) * (sin . (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K38(((cot . (x - (h / 2))) * (sin . (x - (h / 2))))) is V11() V12() ext-real set
K36(((cot . (x + (h / 2))) * (sin . (x + (h / 2)))),K38(((cot . (x - (h / 2))) * (sin . (x - (h / 2)))))) is V11() V12() ext-real set
cos . (x + (h / 2)) is V11() V12() ext-real Element of REAL
(sin . (x + (h / 2))) " is V11() V12() ext-real Element of REAL
(cos . (x + (h / 2))) * ((sin . (x + (h / 2))) ") is V11() V12() ext-real Element of REAL
((cos . (x + (h / 2))) * ((sin . (x + (h / 2))) ")) * (sin . (x + (h / 2))) is V11() V12() ext-real Element of REAL
(((cos . (x + (h / 2))) * ((sin . (x + (h / 2))) ")) * (sin . (x + (h / 2)))) - ((cot . (x - (h / 2))) * (sin . (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K36((((cos . (x + (h / 2))) * ((sin . (x + (h / 2))) ")) * (sin . (x + (h / 2)))),K38(((cot . (x - (h / 2))) * (sin . (x - (h / 2)))))) is V11() V12() ext-real set
sin (x + (h / 2)) is V11() V12() ext-real Element of REAL
sin . (x + (h / 2)) is V11() V12() ext-real Element of REAL
(cos (x + (h / 2))) / (sin (x + (h / 2))) is V11() V12() ext-real Element of REAL
K39((sin (x + (h / 2)))) is V11() V12() ext-real set
K37((cos (x + (h / 2))),K39((sin (x + (h / 2))))) is V11() V12() ext-real set
((cos (x + (h / 2))) / (sin (x + (h / 2)))) * (sin (x + (h / 2))) is V11() V12() ext-real Element of REAL
sin (x - (h / 2)) is V11() V12() ext-real Element of REAL
sin . (x - (h / 2)) is V11() V12() ext-real Element of REAL
(cos (x - (h / 2))) / (sin (x - (h / 2))) is V11() V12() ext-real Element of REAL
K39((sin (x - (h / 2)))) is V11() V12() ext-real set
K37((cos (x - (h / 2))),K39((sin (x - (h / 2))))) is V11() V12() ext-real set
((cos (x - (h / 2))) / (sin (x - (h / 2)))) * (sin (x - (h / 2))) is V11() V12() ext-real Element of REAL
(((cos (x + (h / 2))) / (sin (x + (h / 2)))) * (sin (x + (h / 2)))) - (((cos (x - (h / 2))) / (sin (x - (h / 2)))) * (sin (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K38((((cos (x - (h / 2))) / (sin (x - (h / 2)))) * (sin (x - (h / 2))))) is V11() V12() ext-real set
K36((((cos (x + (h / 2))) / (sin (x + (h / 2)))) * (sin (x + (h / 2)))),K38((((cos (x - (h / 2))) / (sin (x - (h / 2)))) * (sin (x - (h / 2)))))) is V11() V12() ext-real set
(sin (x + (h / 2))) / (sin (x + (h / 2))) is V11() V12() ext-real Element of REAL
K37((sin (x + (h / 2))),K39((sin (x + (h / 2))))) is V11() V12() ext-real set
(cos (x + (h / 2))) / ((sin (x + (h / 2))) / (sin (x + (h / 2)))) is V11() V12() ext-real Element of REAL
K39(((sin (x + (h / 2))) / (sin (x + (h / 2))))) is V11() V12() ext-real set
K37((cos (x + (h / 2))),K39(((sin (x + (h / 2))) / (sin (x + (h / 2)))))) is V11() V12() ext-real set
((cos (x + (h / 2))) / ((sin (x + (h / 2))) / (sin (x + (h / 2))))) - (((cos (x - (h / 2))) / (sin (x - (h / 2)))) * (sin (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K36(((cos (x + (h / 2))) / ((sin (x + (h / 2))) / (sin (x + (h / 2))))),K38((((cos (x - (h / 2))) / (sin (x - (h / 2)))) * (sin (x - (h / 2)))))) is V11() V12() ext-real set
1 / (sin (x + (h / 2))) is V11() V12() ext-real Element of REAL
K37(1,K39((sin (x + (h / 2))))) is V11() V12() ext-real set
(sin (x + (h / 2))) * (1 / (sin (x + (h / 2)))) is V11() V12() ext-real Element of REAL
(cos (x + (h / 2))) / ((sin (x + (h / 2))) * (1 / (sin (x + (h / 2))))) is V11() V12() ext-real Element of REAL
K39(((sin (x + (h / 2))) * (1 / (sin (x + (h / 2)))))) is V11() V12() ext-real set
K37((cos (x + (h / 2))),K39(((sin (x + (h / 2))) * (1 / (sin (x + (h / 2))))))) is V11() V12() ext-real set
(sin (x - (h / 2))) / (sin (x - (h / 2))) is V11() V12() ext-real Element of REAL
K37((sin (x - (h / 2))),K39((sin (x - (h / 2))))) is V11() V12() ext-real set
(cos (x - (h / 2))) / ((sin (x - (h / 2))) / (sin (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K39(((sin (x - (h / 2))) / (sin (x - (h / 2))))) is V11() V12() ext-real set
K37((cos (x - (h / 2))),K39(((sin (x - (h / 2))) / (sin (x - (h / 2)))))) is V11() V12() ext-real set
((cos (x + (h / 2))) / ((sin (x + (h / 2))) * (1 / (sin (x + (h / 2)))))) - ((cos (x - (h / 2))) / ((sin (x - (h / 2))) / (sin (x - (h / 2))))) is V11() V12() ext-real Element of REAL
K38(((cos (x - (h / 2))) / ((sin (x - (h / 2))) / (sin (x - (h / 2)))))) is V11() V12() ext-real set
K36(((cos (x + (h / 2))) / ((sin (x + (h / 2))) * (1 / (sin (x + (h / 2)))))),K38(((cos (x - (h / 2))) / ((sin (x - (h / 2))) / (sin (x - (h / 2))))))) is V11() V12() ext-real set
(cos (x + (h / 2))) / 1 is V11() V12() ext-real Element of REAL
K39(1) is V1() V11() V12() ext-real positive set
K37((cos (x + (h / 2))),K39(1)) is V11() V12() ext-real set
1 / (sin (x - (h / 2))) is V11() V12() ext-real Element of REAL
K37(1,K39((sin (x - (h / 2))))) is V11() V12() ext-real set
(sin (x - (h / 2))) * (1 / (sin (x - (h / 2)))) is V11() V12() ext-real Element of REAL
(cos (x - (h / 2))) / ((sin (x - (h / 2))) * (1 / (sin (x - (h / 2))))) is V11() V12() ext-real Element of REAL
K39(((sin (x - (h / 2))) * (1 / (sin (x - (h / 2)))))) is V11() V12() ext-real set
K37((cos (x - (h / 2))),K39(((sin (x - (h / 2))) * (1 / (sin (x - (h / 2))))))) is V11() V12() ext-real set
((cos (x + (h / 2))) / 1) - ((cos (x - (h / 2))) / ((sin (x - (h / 2))) * (1 / (sin (x - (h / 2)))))) is V11() V12() ext-real Element of REAL
K38(((cos (x - (h / 2))) / ((sin (x - (h / 2))) * (1 / (sin (x - (h / 2))))))) is V11() V12() ext-real set
K36(((cos (x + (h / 2))) / 1),K38(((cos (x - (h / 2))) / ((sin (x - (h / 2))) * (1 / (sin (x - (h / 2)))))))) is V11() V12() ext-real set
(cos (x - (h / 2))) / 1 is V11() V12() ext-real Element of REAL
K37((cos (x - (h / 2))),K39(1)) is V11() V12() ext-real set
((cos (x + (h / 2))) / 1) - ((cos (x - (h / 2))) / 1) is V11() V12() ext-real Element of REAL
K38(((cos (x - (h / 2))) / 1)) is V11() V12() ext-real set
K36(((cos (x + (h / 2))) / 1),K38(((cos (x - (h / 2))) / 1))) is V11() V12() ext-real set
tan (#) tan is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
x is V11() V12() ext-real Element of REAL
cos x is V11() V12() ext-real Element of REAL
cos . x is V11() V12() ext-real Element of REAL
(cos x) ^2 is V11() V12() ext-real Element of REAL
K37((cos x),(cos x)) is V11() V12() ext-real set
h is V11() V12() ext-real Element of REAL
cos h is V11() V12() ext-real Element of REAL
cos . h is V11() V12() ext-real Element of REAL
(cos h) ^2 is V11() V12() ext-real Element of REAL
K37((cos h),(cos h)) is V11() V12() ext-real set
((cos h) ^2) - ((cos x) ^2) is V11() V12() ext-real Element of REAL
K38(((cos x) ^2)) is V11() V12() ext-real set
K36(((cos h) ^2),K38(((cos x) ^2))) is V11() V12() ext-real set
(cos x) * (cos h) is V11() V12() ext-real Element of REAL
((cos x) * (cos h)) ^2 is V11() V12() ext-real Element of REAL
K37(((cos x) * (cos h)),((cos x) * (cos h))) is V11() V12() ext-real set
x - h is V11() V12() ext-real Element of REAL
K38(h) is V11() V12() ext-real set
K36(x,K38(h)) is V11() V12() ext-real set
(((cos x) * (cos h)) ^2) * (x - h) is V11() V12() ext-real Element of REAL
(((cos h) ^2) - ((cos x) ^2)) / ((((cos x) * (cos h)) ^2) * (x - h)) is V11() V12() ext-real Element of REAL
K39(((((cos x) * (cos h)) ^2) * (x - h))) is V11() V12() ext-real set
K37((((cos h) ^2) - ((cos x) ^2)),K39(((((cos x) * (cos h)) ^2) * (x - h)))) is V11() V12() ext-real set
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
[!f,x,h!] is V11() V12() ext-real Element of REAL
f . x is V11() V12() ext-real Element of REAL
f . h is V11() V12() ext-real Element of REAL
(f . x) - (f . h) is V11() V12() ext-real Element of REAL
K38((f . h)) is V11() V12() ext-real set
K36((f . x),K38((f . h))) is V11() V12() ext-real set
K40(x,h) is V11() V12() ext-real set
((f . x) - (f . h)) / K40(x,h) is V11() V12() ext-real Element of REAL
K39(K40(x,h)) is V11() V12() ext-real set
K37(((f . x) - (f . h)),K39(K40(x,h))) is V11() V12() ext-real set
f . x is V11() V12() ext-real Element of REAL
(tan (#) tan) . x is V11() V12() ext-real Element of REAL
f . h is V11() V12() ext-real Element of REAL
(tan (#) tan) . h is V11() V12() ext-real Element of REAL
tan . x is V11() V12() ext-real Element of REAL
(tan . x) * (tan . x) is V11() V12() ext-real Element of REAL
((tan . x) * (tan . x)) - ((tan (#) tan) . h) is V11() V12() ext-real Element of REAL
K38(((tan (#) tan) . h)) is V11() V12() ext-real set
K36(((tan . x) * (tan . x)),K38(((tan (#) tan) . h))) is V11() V12() ext-real set
(((tan . x) * (tan . x)) - ((tan (#) tan) . h)) / (x - h) is V11() V12() ext-real Element of REAL
K39((x - h)) is V11() V12() ext-real set
K37((((tan . x) * (tan . x)) - ((tan (#) tan) . h)),K39((x - h))) is V11() V12() ext-real set
tan . h is V11() V12() ext-real Element of REAL
(tan . h) * (tan . h) is V11() V12() ext-real Element of REAL
((tan . x) * (tan . x)) - ((tan . h) * (tan . h)) is V11() V12() ext-real Element of REAL
K38(((tan . h) * (tan . h))) is V11() V12() ext-real set
K36(((tan . x) * (tan . x)),K38(((tan . h) * (tan . h)))) is V11() V12() ext-real set
(((tan . x) * (tan . x)) - ((tan . h) * (tan . h))) / (x - h) is V11() V12() ext-real Element of REAL
K37((((tan . x) * (tan . x)) - ((tan . h) * (tan . h))),K39((x - h))) is V11() V12() ext-real set
sin . x is V11() V12() ext-real Element of REAL
cos . x is V11() V12() ext-real Element of REAL
(cos . x) " is V11() V12() ext-real Element of REAL
(sin . x) * ((cos . x) ") is V11() V12() ext-real Element of REAL
((sin . x) * ((cos . x) ")) * (tan . x) is V11() V12() ext-real Element of REAL
(((sin . x) * ((cos . x) ")) * (tan . x)) - ((tan . h) * (tan . h)) is V11() V12() ext-real Element of REAL
K36((((sin . x) * ((cos . x) ")) * (tan . x)),K38(((tan . h) * (tan . h)))) is V11() V12() ext-real set
((((sin . x) * ((cos . x) ")) * (tan . x)) - ((tan . h) * (tan . h))) / (x - h) is V11() V12() ext-real Element of REAL
K37(((((sin . x) * ((cos . x) ")) * (tan . x)) - ((tan . h) * (tan . h))),K39((x - h))) is V11() V12() ext-real set
((sin . x) * ((cos . x) ")) * ((sin . x) * ((cos . x) ")) is V11() V12() ext-real Element of REAL
(((sin . x) * ((cos . x) ")) * ((sin . x) * ((cos . x) "))) - ((tan . h) * (tan . h)) is V11() V12() ext-real Element of REAL
K36((((sin . x) * ((cos . x) ")) * ((sin . x) * ((cos . x) "))),K38(((tan . h) * (tan . h)))) is V11() V12() ext-real set
((((sin . x) * ((cos . x) ")) * ((sin . x) * ((cos . x) "))) - ((tan . h) * (tan . h))) / (x - h) is V11() V12() ext-real Element of REAL
K37(((((sin . x) * ((cos . x) ")) * ((sin . x) * ((cos . x) "))) - ((tan . h) * (tan . h))),K39((x - h))) is V11() V12() ext-real set
sin . h is V11() V12() ext-real Element of REAL
cos . h is V11() V12() ext-real Element of REAL
(cos . h) " is V11() V12() ext-real Element of REAL
(sin . h) * ((cos . h) ") is V11() V12() ext-real Element of REAL
((sin . h) * ((cos . h) ")) * (tan . h) is V11() V12() ext-real Element of REAL
(((sin . x) * ((cos . x) ")) * ((sin . x) * ((cos . x) "))) - (((sin . h) * ((cos . h) ")) * (tan . h)) is V11() V12() ext-real Element of REAL
K38((((sin . h) * ((cos . h) ")) * (tan . h))) is V11() V12() ext-real set
K36((((sin . x) * ((cos . x) ")) * ((sin . x) * ((cos . x) "))),K38((((sin . h) * ((cos . h) ")) * (tan . h)))) is V11() V12() ext-real set
((((sin . x) * ((cos . x) ")) * ((sin . x) * ((cos . x) "))) - (((sin . h) * ((cos . h) ")) * (tan . h))) / (x - h) is V11() V12() ext-real Element of REAL
K37(((((sin . x) * ((cos . x) ")) * ((sin . x) * ((cos . x) "))) - (((sin . h) * ((cos . h) ")) * (tan . h))),K39((x - h))) is V11() V12() ext-real set
tan x is V11() V12() ext-real Element of REAL
sin x is V11() V12() ext-real set
sin . x is V11() V12() ext-real Element of REAL
cos x is V11() V12() ext-real set
K41((sin x),(cos x)) is V11() V12() ext-real set
K39((cos x)) is V11() V12() ext-real set
K37((sin x),K39((cos x))) is V11() V12() ext-real set
(tan x) ^2 is V11() V12() ext-real Element of REAL
K37((tan x),(tan x)) is V11() V12() ext-real set
tan h is V11() V12() ext-real Element of REAL
sin h is V11() V12() ext-real set
sin . h is V11() V12() ext-real Element of REAL
cos h is V11() V12() ext-real set
K41((sin h),(cos h)) is V11() V12() ext-real set
K39((cos h)) is V11() V12() ext-real set
K37((sin h),K39((cos h))) is V11() V12() ext-real set
(tan h) ^2 is V11() V12() ext-real Element of REAL
K37((tan h),(tan h)) is V11() V12() ext-real set
((tan x) ^2) - ((tan h) ^2) is V11() V12() ext-real Element of REAL
K38(((tan h) ^2)) is V11() V12() ext-real set
K36(((tan x) ^2),K38(((tan h) ^2))) is V11() V12() ext-real set
(((tan x) ^2) - ((tan h) ^2)) / (x - h) is V11() V12() ext-real Element of REAL
K37((((tan x) ^2) - ((tan h) ^2)),K39((x - h))) is V11() V12() ext-real set
(tan x) - (tan h) is V11() V12() ext-real Element of REAL
K38((tan h)) is V11() V12() ext-real set
K36((tan x),K38((tan h))) is V11() V12() ext-real set
(tan x) + (tan h) is V11() V12() ext-real Element of REAL
((tan x) - (tan h)) * ((tan x) + (tan h)) is V11() V12() ext-real Element of REAL
(((tan x) - (tan h)) * ((tan x) + (tan h))) / (x - h) is V11() V12() ext-real Element of REAL
K37((((tan x) - (tan h)) * ((tan x) + (tan h))),K39((x - h))) is V11() V12() ext-real set
sin (x - h) is V11() V12() ext-real Element of REAL
sin . (x - h) is V11() V12() ext-real Element of REAL
(sin (x - h)) / ((cos x) * (cos h)) is V11() V12() ext-real Element of REAL
K39(((cos x) * (cos h))) is V11() V12() ext-real set
K37((sin (x - h)),K39(((cos x) * (cos h)))) is V11() V12() ext-real set
((sin (x - h)) / ((cos x) * (cos h))) * ((tan x) + (tan h)) is V11() V12() ext-real Element of REAL
(((sin (x - h)) / ((cos x) * (cos h))) * ((tan x) + (tan h))) / (x - h) is V11() V12() ext-real Element of REAL
K37((((sin (x - h)) / ((cos x) * (cos h))) * ((tan x) + (tan h))),K39((x - h))) is V11() V12() ext-real set
x + h is V11() V12() ext-real Element of REAL
sin (x + h) is V11() V12() ext-real Element of REAL
sin . (x + h) is V11() V12() ext-real Element of REAL
(sin (x + h)) / ((cos x) * (cos h)) is V11() V12() ext-real Element of REAL
K37((sin (x + h)),K39(((cos x) * (cos h)))) is V11() V12() ext-real set
((sin (x - h)) / ((cos x) * (cos h))) * ((sin (x + h)) / ((cos x) * (cos h))) is V11() V12() ext-real Element of REAL
(((sin (x - h)) / ((cos x) * (cos h))) * ((sin (x + h)) / ((cos x) * (cos h)))) / (x - h) is V11() V12() ext-real Element of REAL
K37((((sin (x - h)) / ((cos x) * (cos h))) * ((sin (x + h)) / ((cos x) * (cos h)))),K39((x - h))) is V11() V12() ext-real set
(sin (x + h)) * (sin (x - h)) is V11() V12() ext-real Element of REAL
((sin (x + h)) * (sin (x - h))) / (((cos x) * (cos h)) ^2) is V11() V12() ext-real Element of REAL
K39((((cos x) * (cos h)) ^2)) is V11() V12() ext-real set
K37(((sin (x + h)) * (sin (x - h))),K39((((cos x) * (cos h)) ^2))) is V11() V12() ext-real set
(((sin (x + h)) * (sin (x - h))) / (((cos x) * (cos h)) ^2)) / (x - h) is V11() V12() ext-real Element of REAL
K37((((sin (x + h)) * (sin (x - h))) / (((cos x) * (cos h)) ^2)),K39((x - h))) is V11() V12() ext-real set
(((cos h) ^2) - ((cos x) ^2)) / (((cos x) * (cos h)) ^2) is V11() V12() ext-real Element of REAL
K37((((cos h) ^2) - ((cos x) ^2)),K39((((cos x) * (cos h)) ^2))) is V11() V12() ext-real set
((((cos h) ^2) - ((cos x) ^2)) / (((cos x) * (cos h)) ^2)) / (x - h) is V11() V12() ext-real Element of REAL
K37(((((cos h) ^2) - ((cos x) ^2)) / (((cos x) * (cos h)) ^2)),K39((x - h))) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
2 * x is V11() V12() ext-real Element of REAL
cos (2 * x) is V11() V12() ext-real Element of REAL
cos . (2 * x) is V11() V12() ext-real Element of REAL
cos x is V11() V12() ext-real Element of REAL
cos . x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
x + h is V11() V12() ext-real Element of REAL
2 * (x + h) is V11() V12() ext-real Element of REAL
cos (2 * (x + h)) is V11() V12() ext-real Element of REAL
cos . (2 * (x + h)) is V11() V12() ext-real Element of REAL
(cos (2 * (x + h))) - (cos (2 * x)) is V11() V12() ext-real Element of REAL
K38((cos (2 * x))) is V11() V12() ext-real set
K36((cos (2 * (x + h))),K38((cos (2 * x)))) is V11() V12() ext-real set
(1 / 2) * ((cos (2 * (x + h))) - (cos (2 * x))) is V11() V12() ext-real Element of REAL
cos (x + h) is V11() V12() ext-real Element of REAL
cos . (x + h) is V11() V12() ext-real Element of REAL
(cos (x + h)) * (cos x) is V11() V12() ext-real Element of REAL
((cos (x + h)) * (cos x)) ^2 is V11() V12() ext-real Element of REAL
K37(((cos (x + h)) * (cos x)),((cos (x + h)) * (cos x))) is V11() V12() ext-real set
((1 / 2) * ((cos (2 * (x + h))) - (cos (2 * x)))) / (((cos (x + h)) * (cos x)) ^2) is V11() V12() ext-real Element of REAL
K39((((cos (x + h)) * (cos x)) ^2)) is V11() V12() ext-real set
K37(((1 / 2) * ((cos (2 * (x + h))) - (cos (2 * x)))),K39((((cos (x + h)) * (cos x)) ^2))) is V11() V12() ext-real set
- (((1 / 2) * ((cos (2 * (x + h))) - (cos (2 * x)))) / (((cos (x + h)) * (cos x)) ^2)) is V11() V12() ext-real Element of REAL
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
fD (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (f,h)) - f is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(fD (f,h)) . x is V11() V12() ext-real Element of REAL
f . (x + h) is V11() V12() ext-real Element of REAL
f . x is V11() V12() ext-real Element of REAL
(f . (x + h)) - (f . x) is V11() V12() ext-real Element of REAL
K38((f . x)) is V11() V12() ext-real set
K36((f . (x + h)),K38((f . x))) is V11() V12() ext-real set
(tan (#) tan) . (x + h) is V11() V12() ext-real Element of REAL
((tan (#) tan) . (x + h)) - (f . x) is V11() V12() ext-real Element of REAL
K36(((tan (#) tan) . (x + h)),K38((f . x))) is V11() V12() ext-real set
(tan (#) tan) . x is V11() V12() ext-real Element of REAL
((tan (#) tan) . (x + h)) - ((tan (#) tan) . x) is V11() V12() ext-real Element of REAL
K38(((tan (#) tan) . x)) is V11() V12() ext-real set
K36(((tan (#) tan) . (x + h)),K38(((tan (#) tan) . x))) is V11() V12() ext-real set
tan . (x + h) is V11() V12() ext-real Element of REAL
(tan . (x + h)) * (tan . (x + h)) is V11() V12() ext-real Element of REAL
((tan . (x + h)) * (tan . (x + h))) - ((tan (#) tan) . x) is V11() V12() ext-real Element of REAL
K36(((tan . (x + h)) * (tan . (x + h))),K38(((tan (#) tan) . x))) is V11() V12() ext-real set
tan . x is V11() V12() ext-real Element of REAL
(tan . x) * (tan . x) is V11() V12() ext-real Element of REAL
((tan . (x + h)) * (tan . (x + h))) - ((tan . x) * (tan . x)) is V11() V12() ext-real Element of REAL
K38(((tan . x) * (tan . x))) is V11() V12() ext-real set
K36(((tan . (x + h)) * (tan . (x + h))),K38(((tan . x) * (tan . x)))) is V11() V12() ext-real set
sin . (x + h) is V11() V12() ext-real Element of REAL
cos . (x + h) is V11() V12() ext-real Element of REAL
(cos . (x + h)) " is V11() V12() ext-real Element of REAL
(sin . (x + h)) * ((cos . (x + h)) ") is V11() V12() ext-real Element of REAL
((sin . (x + h)) * ((cos . (x + h)) ")) * (tan . (x + h)) is V11() V12() ext-real Element of REAL
(((sin . (x + h)) * ((cos . (x + h)) ")) * (tan . (x + h))) - ((tan . x) * (tan . x)) is V11() V12() ext-real Element of REAL
K36((((sin . (x + h)) * ((cos . (x + h)) ")) * (tan . (x + h))),K38(((tan . x) * (tan . x)))) is V11() V12() ext-real set
((sin . (x + h)) * ((cos . (x + h)) ")) * ((sin . (x + h)) * ((cos . (x + h)) ")) is V11() V12() ext-real Element of REAL
(((sin . (x + h)) * ((cos . (x + h)) ")) * ((sin . (x + h)) * ((cos . (x + h)) "))) - ((tan . x) * (tan . x)) is V11() V12() ext-real Element of REAL
K36((((sin . (x + h)) * ((cos . (x + h)) ")) * ((sin . (x + h)) * ((cos . (x + h)) "))),K38(((tan . x) * (tan . x)))) is V11() V12() ext-real set
sin . x is V11() V12() ext-real Element of REAL
cos . x is V11() V12() ext-real Element of REAL
(cos . x) " is V11() V12() ext-real Element of REAL
(sin . x) * ((cos . x) ") is V11() V12() ext-real Element of REAL
((sin . x) * ((cos . x) ")) * (tan . x) is V11() V12() ext-real Element of REAL
(((sin . (x + h)) * ((cos . (x + h)) ")) * ((sin . (x + h)) * ((cos . (x + h)) "))) - (((sin . x) * ((cos . x) ")) * (tan . x)) is V11() V12() ext-real Element of REAL
K38((((sin . x) * ((cos . x) ")) * (tan . x))) is V11() V12() ext-real set
K36((((sin . (x + h)) * ((cos . (x + h)) ")) * ((sin . (x + h)) * ((cos . (x + h)) "))),K38((((sin . x) * ((cos . x) ")) * (tan . x)))) is V11() V12() ext-real set
tan (x + h) is V11() V12() ext-real Element of REAL
sin (x + h) is V11() V12() ext-real set
sin . (x + h) is V11() V12() ext-real Element of REAL
cos (x + h) is V11() V12() ext-real set
K41((sin (x + h)),(cos (x + h))) is V11() V12() ext-real set
K39((cos (x + h))) is V11() V12() ext-real set
K37((sin (x + h)),K39((cos (x + h)))) is V11() V12() ext-real set
(tan (x + h)) ^2 is V11() V12() ext-real Element of REAL
K37((tan (x + h)),(tan (x + h))) is V11() V12() ext-real set
tan x is V11() V12() ext-real Element of REAL
sin x is V11() V12() ext-real set
sin . x is V11() V12() ext-real Element of REAL
cos x is V11() V12() ext-real set
K41((sin x),(cos x)) is V11() V12() ext-real set
K39((cos x)) is V11() V12() ext-real set
K37((sin x),K39((cos x))) is V11() V12() ext-real set
(tan x) ^2 is V11() V12() ext-real Element of REAL
K37((tan x),(tan x)) is V11() V12() ext-real set
((tan (x + h)) ^2) - ((tan x) ^2) is V11() V12() ext-real Element of REAL
K38(((tan x) ^2)) is V11() V12() ext-real set
K36(((tan (x + h)) ^2),K38(((tan x) ^2))) is V11() V12() ext-real set
(tan (x + h)) - (tan x) is V11() V12() ext-real Element of REAL
K38((tan x)) is V11() V12() ext-real set
K36((tan (x + h)),K38((tan x))) is V11() V12() ext-real set
(tan (x + h)) + (tan x) is V11() V12() ext-real Element of REAL
((tan (x + h)) - (tan x)) * ((tan (x + h)) + (tan x)) is V11() V12() ext-real Element of REAL
(x + h) - x is V11() V12() ext-real Element of REAL
K38(x) is V11() V12() ext-real set
K36((x + h),K38(x)) is V11() V12() ext-real set
sin ((x + h) - x) is V11() V12() ext-real Element of REAL
sin . ((x + h) - x) is V11() V12() ext-real Element of REAL
(sin ((x + h) - x)) / ((cos (x + h)) * (cos x)) is V11() V12() ext-real Element of REAL
K39(((cos (x + h)) * (cos x))) is V11() V12() ext-real set
K37((sin ((x + h) - x)),K39(((cos (x + h)) * (cos x)))) is V11() V12() ext-real set
((sin ((x + h) - x)) / ((cos (x + h)) * (cos x))) * ((tan (x + h)) + (tan x)) is V11() V12() ext-real Element of REAL
(x + h) + x is V11() V12() ext-real Element of REAL
sin ((x + h) + x) is V11() V12() ext-real Element of REAL
sin . ((x + h) + x) is V11() V12() ext-real Element of REAL
(sin ((x + h) + x)) / ((cos (x + h)) * (cos x)) is V11() V12() ext-real Element of REAL
K37((sin ((x + h) + x)),K39(((cos (x + h)) * (cos x)))) is V11() V12() ext-real set
((sin ((x + h) - x)) / ((cos (x + h)) * (cos x))) * ((sin ((x + h) + x)) / ((cos (x + h)) * (cos x))) is V11() V12() ext-real Element of REAL
(2 * x) + h is V11() V12() ext-real Element of REAL
sin ((2 * x) + h) is V11() V12() ext-real Element of REAL
sin . ((2 * x) + h) is V11() V12() ext-real Element of REAL
sin h is V11() V12() ext-real Element of REAL
sin . h is V11() V12() ext-real Element of REAL
(sin ((2 * x) + h)) * (sin h) is V11() V12() ext-real Element of REAL
((sin ((2 * x) + h)) * (sin h)) / (((cos (x + h)) * (cos x)) ^2) is V11() V12() ext-real Element of REAL
K37(((sin ((2 * x) + h)) * (sin h)),K39((((cos (x + h)) * (cos x)) ^2))) is V11() V12() ext-real set
((2 * x) + h) + h is V11() V12() ext-real Element of REAL
cos (((2 * x) + h) + h) is V11() V12() ext-real Element of REAL
cos . (((2 * x) + h) + h) is V11() V12() ext-real Element of REAL
((2 * x) + h) - h is V11() V12() ext-real Element of REAL
K38(h) is V11() V12() ext-real set
K36(((2 * x) + h),K38(h)) is V11() V12() ext-real set
cos (((2 * x) + h) - h) is V11() V12() ext-real Element of REAL
cos . (((2 * x) + h) - h) is V11() V12() ext-real Element of REAL
(cos (((2 * x) + h) + h)) - (cos (((2 * x) + h) - h)) is V11() V12() ext-real Element of REAL
K38((cos (((2 * x) + h) - h))) is V11() V12() ext-real set
K36((cos (((2 * x) + h) + h)),K38((cos (((2 * x) + h) - h)))) is V11() V12() ext-real set
(1 / 2) * ((cos (((2 * x) + h) + h)) - (cos (((2 * x) + h) - h))) is V11() V12() ext-real Element of REAL
- ((1 / 2) * ((cos (((2 * x) + h) + h)) - (cos (((2 * x) + h) - h)))) is V11() V12() ext-real Element of REAL
(- ((1 / 2) * ((cos (((2 * x) + h) + h)) - (cos (((2 * x) + h) - h))))) / (((cos (x + h)) * (cos x)) ^2) is V11() V12() ext-real Element of REAL
K37((- ((1 / 2) * ((cos (((2 * x) + h) + h)) - (cos (((2 * x) + h) - h))))),K39((((cos (x + h)) * (cos x)) ^2))) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
2 * x is V11() V12() ext-real Element of REAL
cos (2 * x) is V11() V12() ext-real Element of REAL
cos . (2 * x) is V11() V12() ext-real Element of REAL
cos x is V11() V12() ext-real Element of REAL
cos . x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
x - h is V11() V12() ext-real Element of REAL
K38(h) is V11() V12() ext-real set
K36(x,K38(h)) is V11() V12() ext-real set
h - x is V11() V12() ext-real Element of REAL
K38(x) is V11() V12() ext-real set
K36(h,K38(x)) is V11() V12() ext-real set
2 * (h - x) is V11() V12() ext-real Element of REAL
cos (2 * (h - x)) is V11() V12() ext-real Element of REAL
cos . (2 * (h - x)) is V11() V12() ext-real Element of REAL
(cos (2 * x)) - (cos (2 * (h - x))) is V11() V12() ext-real Element of REAL
K38((cos (2 * (h - x)))) is V11() V12() ext-real set
K36((cos (2 * x)),K38((cos (2 * (h - x))))) is V11() V12() ext-real set
(1 / 2) * ((cos (2 * x)) - (cos (2 * (h - x)))) is V11() V12() ext-real Element of REAL
cos (x - h) is V11() V12() ext-real Element of REAL
cos . (x - h) is V11() V12() ext-real Element of REAL
(cos x) * (cos (x - h)) is V11() V12() ext-real Element of REAL
((cos x) * (cos (x - h))) ^2 is V11() V12() ext-real Element of REAL
K37(((cos x) * (cos (x - h))),((cos x) * (cos (x - h)))) is V11() V12() ext-real set
((1 / 2) * ((cos (2 * x)) - (cos (2 * (h - x))))) / (((cos x) * (cos (x - h))) ^2) is V11() V12() ext-real Element of REAL
K39((((cos x) * (cos (x - h))) ^2)) is V11() V12() ext-real set
K37(((1 / 2) * ((cos (2 * x)) - (cos (2 * (h - x))))),K39((((cos x) * (cos (x - h))) ^2))) is V11() V12() ext-real set
- (((1 / 2) * ((cos (2 * x)) - (cos (2 * (h - x))))) / (((cos x) * (cos (x - h))) ^2)) is V11() V12() ext-real Element of REAL
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
bD (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
Shift (f,K38(h)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
f - (Shift (f,K38(h))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(bD (f,h)) . x is V11() V12() ext-real Element of REAL
f . x is V11() V12() ext-real Element of REAL
f . (x - h) is V11() V12() ext-real Element of REAL
(f . x) - (f . (x - h)) is V11() V12() ext-real Element of REAL
K38((f . (x - h))) is V11() V12() ext-real set
K36((f . x),K38((f . (x - h)))) is V11() V12() ext-real set
(tan (#) tan) . x is V11() V12() ext-real Element of REAL
((tan (#) tan) . x) - (f . (x - h)) is V11() V12() ext-real Element of REAL
K36(((tan (#) tan) . x),K38((f . (x - h)))) is V11() V12() ext-real set
(tan (#) tan) . (x - h) is V11() V12() ext-real Element of REAL
((tan (#) tan) . x) - ((tan (#) tan) . (x - h)) is V11() V12() ext-real Element of REAL
K38(((tan (#) tan) . (x - h))) is V11() V12() ext-real set
K36(((tan (#) tan) . x),K38(((tan (#) tan) . (x - h)))) is V11() V12() ext-real set
tan . x is V11() V12() ext-real Element of REAL
(tan . x) * (tan . x) is V11() V12() ext-real Element of REAL
((tan . x) * (tan . x)) - ((tan (#) tan) . (x - h)) is V11() V12() ext-real Element of REAL
K36(((tan . x) * (tan . x)),K38(((tan (#) tan) . (x - h)))) is V11() V12() ext-real set
tan . (x - h) is V11() V12() ext-real Element of REAL
(tan . (x - h)) * (tan . (x - h)) is V11() V12() ext-real Element of REAL
((tan . x) * (tan . x)) - ((tan . (x - h)) * (tan . (x - h))) is V11() V12() ext-real Element of REAL
K38(((tan . (x - h)) * (tan . (x - h)))) is V11() V12() ext-real set
K36(((tan . x) * (tan . x)),K38(((tan . (x - h)) * (tan . (x - h))))) is V11() V12() ext-real set
sin . x is V11() V12() ext-real Element of REAL
cos . x is V11() V12() ext-real Element of REAL
(cos . x) " is V11() V12() ext-real Element of REAL
(sin . x) * ((cos . x) ") is V11() V12() ext-real Element of REAL
((sin . x) * ((cos . x) ")) * (tan . x) is V11() V12() ext-real Element of REAL
(((sin . x) * ((cos . x) ")) * (tan . x)) - ((tan . (x - h)) * (tan . (x - h))) is V11() V12() ext-real Element of REAL
K36((((sin . x) * ((cos . x) ")) * (tan . x)),K38(((tan . (x - h)) * (tan . (x - h))))) is V11() V12() ext-real set
((sin . x) * ((cos . x) ")) * ((sin . x) * ((cos . x) ")) is V11() V12() ext-real Element of REAL
(((sin . x) * ((cos . x) ")) * ((sin . x) * ((cos . x) "))) - ((tan . (x - h)) * (tan . (x - h))) is V11() V12() ext-real Element of REAL
K36((((sin . x) * ((cos . x) ")) * ((sin . x) * ((cos . x) "))),K38(((tan . (x - h)) * (tan . (x - h))))) is V11() V12() ext-real set
sin . (x - h) is V11() V12() ext-real Element of REAL
cos . (x - h) is V11() V12() ext-real Element of REAL
(cos . (x - h)) " is V11() V12() ext-real Element of REAL
(sin . (x - h)) * ((cos . (x - h)) ") is V11() V12() ext-real Element of REAL
((sin . (x - h)) * ((cos . (x - h)) ")) * (tan . (x - h)) is V11() V12() ext-real Element of REAL
(((sin . x) * ((cos . x) ")) * ((sin . x) * ((cos . x) "))) - (((sin . (x - h)) * ((cos . (x - h)) ")) * (tan . (x - h))) is V11() V12() ext-real Element of REAL
K38((((sin . (x - h)) * ((cos . (x - h)) ")) * (tan . (x - h)))) is V11() V12() ext-real set
K36((((sin . x) * ((cos . x) ")) * ((sin . x) * ((cos . x) "))),K38((((sin . (x - h)) * ((cos . (x - h)) ")) * (tan . (x - h))))) is V11() V12() ext-real set
tan x is V11() V12() ext-real Element of REAL
sin x is V11() V12() ext-real set
sin . x is V11() V12() ext-real Element of REAL
cos x is V11() V12() ext-real set
K41((sin x),(cos x)) is V11() V12() ext-real set
K39((cos x)) is V11() V12() ext-real set
K37((sin x),K39((cos x))) is V11() V12() ext-real set
(tan x) ^2 is V11() V12() ext-real Element of REAL
K37((tan x),(tan x)) is V11() V12() ext-real set
tan (x - h) is V11() V12() ext-real Element of REAL
sin (x - h) is V11() V12() ext-real set
sin . (x - h) is V11() V12() ext-real Element of REAL
cos (x - h) is V11() V12() ext-real set
K41((sin (x - h)),(cos (x - h))) is V11() V12() ext-real set
K39((cos (x - h))) is V11() V12() ext-real set
K37((sin (x - h)),K39((cos (x - h)))) is V11() V12() ext-real set
(tan (x - h)) ^2 is V11() V12() ext-real Element of REAL
K37((tan (x - h)),(tan (x - h))) is V11() V12() ext-real set
((tan x) ^2) - ((tan (x - h)) ^2) is V11() V12() ext-real Element of REAL
K38(((tan (x - h)) ^2)) is V11() V12() ext-real set
K36(((tan x) ^2),K38(((tan (x - h)) ^2))) is V11() V12() ext-real set
(tan x) - (tan (x - h)) is V11() V12() ext-real Element of REAL
K38((tan (x - h))) is V11() V12() ext-real set
K36((tan x),K38((tan (x - h)))) is V11() V12() ext-real set
(tan x) + (tan (x - h)) is V11() V12() ext-real Element of REAL
((tan x) - (tan (x - h))) * ((tan x) + (tan (x - h))) is V11() V12() ext-real Element of REAL
x - (x - h) is V11() V12() ext-real Element of REAL
K38((x - h)) is V11() V12() ext-real set
K36(x,K38((x - h))) is V11() V12() ext-real set
sin (x - (x - h)) is V11() V12() ext-real Element of REAL
sin . (x - (x - h)) is V11() V12() ext-real Element of REAL
(sin (x - (x - h))) / ((cos x) * (cos (x - h))) is V11() V12() ext-real Element of REAL
K39(((cos x) * (cos (x - h)))) is V11() V12() ext-real set
K37((sin (x - (x - h))),K39(((cos x) * (cos (x - h))))) is V11() V12() ext-real set
((sin (x - (x - h))) / ((cos x) * (cos (x - h)))) * ((tan x) + (tan (x - h))) is V11() V12() ext-real Element of REAL
sin h is V11() V12() ext-real Element of REAL
sin . h is V11() V12() ext-real Element of REAL
(sin h) / ((cos x) * (cos (x - h))) is V11() V12() ext-real Element of REAL
K37((sin h),K39(((cos x) * (cos (x - h))))) is V11() V12() ext-real set
x + (x - h) is V11() V12() ext-real Element of REAL
sin (x + (x - h)) is V11() V12() ext-real Element of REAL
sin . (x + (x - h)) is V11() V12() ext-real Element of REAL
(sin (x + (x - h))) / ((cos x) * (cos (x - h))) is V11() V12() ext-real Element of REAL
K37((sin (x + (x - h))),K39(((cos x) * (cos (x - h))))) is V11() V12() ext-real set
((sin h) / ((cos x) * (cos (x - h)))) * ((sin (x + (x - h))) / ((cos x) * (cos (x - h)))) is V11() V12() ext-real Element of REAL
(2 * x) - h is V11() V12() ext-real Element of REAL
K36((2 * x),K38(h)) is V11() V12() ext-real set
sin ((2 * x) - h) is V11() V12() ext-real Element of REAL
sin . ((2 * x) - h) is V11() V12() ext-real Element of REAL
(sin h) * (sin ((2 * x) - h)) is V11() V12() ext-real Element of REAL
((sin h) * (sin ((2 * x) - h))) / (((cos x) * (cos (x - h))) ^2) is V11() V12() ext-real Element of REAL
K37(((sin h) * (sin ((2 * x) - h))),K39((((cos x) * (cos (x - h))) ^2))) is V11() V12() ext-real set
h + ((2 * x) - h) is V11() V12() ext-real Element of REAL
cos (h + ((2 * x) - h)) is V11() V12() ext-real Element of REAL
cos . (h + ((2 * x) - h)) is V11() V12() ext-real Element of REAL
h - ((2 * x) - h) is V11() V12() ext-real Element of REAL
K38(((2 * x) - h)) is V11() V12() ext-real set
K36(h,K38(((2 * x) - h))) is V11() V12() ext-real set
cos (h - ((2 * x) - h)) is V11() V12() ext-real Element of REAL
cos . (h - ((2 * x) - h)) is V11() V12() ext-real Element of REAL
(cos (h + ((2 * x) - h))) - (cos (h - ((2 * x) - h))) is V11() V12() ext-real Element of REAL
K38((cos (h - ((2 * x) - h)))) is V11() V12() ext-real set
K36((cos (h + ((2 * x) - h))),K38((cos (h - ((2 * x) - h))))) is V11() V12() ext-real set
(1 / 2) * ((cos (h + ((2 * x) - h))) - (cos (h - ((2 * x) - h)))) is V11() V12() ext-real Element of REAL
- ((1 / 2) * ((cos (h + ((2 * x) - h))) - (cos (h - ((2 * x) - h))))) is V11() V12() ext-real Element of REAL
(- ((1 / 2) * ((cos (h + ((2 * x) - h))) - (cos (h - ((2 * x) - h)))))) / (((cos x) * (cos (x - h))) ^2) is V11() V12() ext-real Element of REAL
K37((- ((1 / 2) * ((cos (h + ((2 * x) - h))) - (cos (h - ((2 * x) - h)))))),K39((((cos x) * (cos (x - h))) ^2))) is V11() V12() ext-real set
x is V11() V12() ext-real Element of REAL
2 * x is V11() V12() ext-real Element of REAL
h is V11() V12() ext-real Element of REAL
h / 2 is V11() V12() ext-real Element of REAL
K37(h,K39(2)) is V11() V12() ext-real set
x + (h / 2) is V11() V12() ext-real Element of REAL
x - (h / 2) is V11() V12() ext-real Element of REAL
K38((h / 2)) is V11() V12() ext-real set
K36(x,K38((h / 2))) is V11() V12() ext-real set
h + (2 * x) is V11() V12() ext-real Element of REAL
cos (h + (2 * x)) is V11() V12() ext-real Element of REAL
cos . (h + (2 * x)) is V11() V12() ext-real Element of REAL
h - (2 * x) is V11() V12() ext-real Element of REAL
K38((2 * x)) is V11() V12() ext-real set
K36(h,K38((2 * x))) is V11() V12() ext-real set
cos (h - (2 * x)) is V11() V12() ext-real Element of REAL
cos . (h - (2 * x)) is V11() V12() ext-real Element of REAL
(cos (h + (2 * x))) - (cos (h - (2 * x))) is V11() V12() ext-real Element of REAL
K38((cos (h - (2 * x)))) is V11() V12() ext-real set
K36((cos (h + (2 * x))),K38((cos (h - (2 * x))))) is V11() V12() ext-real set
(1 / 2) * ((cos (h + (2 * x))) - (cos (h - (2 * x)))) is V11() V12() ext-real Element of REAL
cos (x + (h / 2)) is V11() V12() ext-real Element of REAL
cos . (x + (h / 2)) is V11() V12() ext-real Element of REAL
cos (x - (h / 2)) is V11() V12() ext-real Element of REAL
cos . (x - (h / 2)) is V11() V12() ext-real Element of REAL
(cos (x + (h / 2))) * (cos (x - (h / 2))) is V11() V12() ext-real Element of REAL
((cos (x + (h / 2))) * (cos (x - (h / 2)))) ^2 is V11() V12() ext-real Element of REAL
K37(((cos (x + (h / 2))) * (cos (x - (h / 2)))),((cos (x + (h / 2))) * (cos (x - (h / 2))))) is V11() V12() ext-real set
((1 / 2) * ((cos (h + (2 * x))) - (cos (h - (2 * x))))) / (((cos (x + (h / 2))) * (cos (x - (h / 2)))) ^2) is V11() V12() ext-real Element of REAL
K39((((cos (x + (h / 2))) * (cos (x - (h / 2)))) ^2)) is V11() V12() ext-real set
K37(((1 / 2) * ((cos (h + (2 * x))) - (cos (h - (2 * x))))),K39((((cos (x + (h / 2))) * (cos (x - (h / 2)))) ^2))) is V11() V12() ext-real set
- (((1 / 2) * ((cos (h + (2 * x))) - (cos (h - (2 * x))))) / (((cos (x + (h / 2))) * (cos (x - (h / 2)))) ^2)) is V11() V12() ext-real Element of REAL
f is V1() V13() V16( REAL ) V17( REAL ) V18() V23( REAL ) V27( REAL , REAL ) V33() V34() V35() Element of bool [:REAL,REAL:]
cD (f,h) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
h / 2 is V11() V12() ext-real Element of REAL
Shift (f,(h / 2)) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
- (h / 2) is V11() V12() ext-real Element of REAL
Shift (f,(- (h / 2))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(Shift (f,(h / 2))) - (Shift (f,(- (h / 2)))) is V13() V16( REAL ) V17( REAL ) V18() V33() V34() V35() Element of bool [:REAL,REAL:]
(cD (f,h)) . x is V11() V12() ext-real Element of REAL
f . (x + (h / 2)) is V11() V12() ext-real Element of REAL
f . (x - (h / 2)) is V11() V12() ext-real Element of REAL
(f . (x + (h / 2))) - (f . (x - (h / 2))) is V11() V12() ext-real Element of REAL
K38((f . (x - (h / 2)))) is V11() V12() ext-real set
K36((f . (x + (h / 2))),K38((f . (x - (h / 2))))) is V11() V12() ext-real set
(tan (#) tan) . (x + (h / 2)) is V11() V12() ext-real Element of REAL
((tan (#) tan) . (x + (h / 2))) - (f . (x - (h / 2))) is V11() V12() ext-real Element of REAL
K36(((tan (#) tan) . (x + (h / 2))),K38((f . (x - (h / 2))))) is V11() V12() ext-real set
(tan (#) tan) . (x - (h / 2)) is V11() V12() ext-real Element of REAL
((tan (#) tan) . (x + (h / 2))) - ((tan (#) tan) . (x - (h / 2))) is V11() V12() ext-real Element of REAL
K38(((tan (#) tan) . (x - (h / 2)))) is V11() V12() ext-real set
K36(((tan (#) tan) . (x + (h / 2))),K38(((tan (#) tan) . (x - (h / 2))))) is V11() V12() ext-real set
tan . (x + (h / 2)) is V11() V12() ext-real Element of REAL
(tan . (x + (h / 2))) * (tan . (x + (h / 2))) is V11() V12() ext-real Element of REAL
((tan . (x + (h / 2))) * (tan . (x + (h / 2)))) - ((tan (#) tan) . (x - (h / 2))) is V11() V12() ext-real Element of REAL
K36(((tan . (x + (h / 2))) * (tan . (x + (h / 2)))),K38(((tan (#) tan) . (x - (h / 2))))) is V11() V12() ext-real set
tan . (x - (h / 2)) is V11() V12() ext-real Element of REAL
(tan . (x - (h / 2))) * (tan . (x - (h / 2))) is V11() V12() ext-real Element of REAL
((tan . (x + (h / 2))) * (tan . (x + (h / 2)))) - ((tan . (x - (h / 2))) * (tan . (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K38(((tan . (x - (h / 2))) * (tan . (x - (h / 2))))) is V11() V12() ext-real set
K36(((tan . (x + (h / 2))) * (tan . (x + (h / 2)))),K38(((tan . (x - (h / 2))) * (tan . (x - (h / 2)))))) is V11() V12() ext-real set
sin . (x + (h / 2)) is V11() V12() ext-real Element of REAL
cos . (x + (h / 2)) is V11() V12() ext-real Element of REAL
(cos . (x + (h / 2))) " is V11() V12() ext-real Element of REAL
(sin . (x + (h / 2))) * ((cos . (x + (h / 2))) ") is V11() V12() ext-real Element of REAL
((sin . (x + (h / 2))) * ((cos . (x + (h / 2))) ")) * (tan . (x + (h / 2))) is V11() V12() ext-real Element of REAL
(((sin . (x + (h / 2))) * ((cos . (x + (h / 2))) ")) * (tan . (x + (h / 2)))) - ((tan . (x - (h / 2))) * (tan . (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K36((((sin . (x + (h / 2))) * ((cos . (x + (h / 2))) ")) * (tan . (x + (h / 2)))),K38(((tan . (x - (h / 2))) * (tan . (x - (h / 2)))))) is V11() V12() ext-real set
((sin . (x + (h / 2))) * ((cos . (x + (h / 2))) ")) * ((sin . (x + (h / 2))) * ((cos . (x + (h / 2))) ")) is V11() V12() ext-real Element of REAL
(((sin . (x + (h / 2))) * ((cos . (x + (h / 2))) ")) * ((sin . (x + (h / 2))) * ((cos . (x + (h / 2))) "))) - ((tan . (x - (h / 2))) * (tan . (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K36((((sin . (x + (h / 2))) * ((cos . (x + (h / 2))) ")) * ((sin . (x + (h / 2))) * ((cos . (x + (h / 2))) "))),K38(((tan . (x - (h / 2))) * (tan . (x - (h / 2)))))) is V11() V12() ext-real set
sin . (x - (h / 2)) is V11() V12() ext-real Element of REAL
cos . (x - (h / 2)) is V11() V12() ext-real Element of REAL
(cos . (x - (h / 2))) " is V11() V12() ext-real Element of REAL
(sin . (x - (h / 2))) * ((cos . (x - (h / 2))) ") is V11() V12() ext-real Element of REAL
((sin . (x - (h / 2))) * ((cos . (x - (h / 2))) ")) * (tan . (x - (h / 2))) is V11() V12() ext-real Element of REAL
(((sin . (x + (h / 2))) * ((cos . (x + (h / 2))) ")) * ((sin . (x + (h / 2))) * ((cos . (x + (h / 2))) "))) - (((sin . (x - (h / 2))) * ((cos . (x - (h / 2))) ")) * (tan . (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K38((((sin . (x - (h / 2))) * ((cos . (x - (h / 2))) ")) * (tan . (x - (h / 2))))) is V11() V12() ext-real set
K36((((sin . (x + (h / 2))) * ((cos . (x + (h / 2))) ")) * ((sin . (x + (h / 2))) * ((cos . (x + (h / 2))) "))),K38((((sin . (x - (h / 2))) * ((cos . (x - (h / 2))) ")) * (tan . (x - (h / 2)))))) is V11() V12() ext-real set
tan (x + (h / 2)) is V11() V12() ext-real Element of REAL
sin (x + (h / 2)) is V11() V12() ext-real set
sin . (x + (h / 2)) is V11() V12() ext-real Element of REAL
cos (x + (h / 2)) is V11() V12() ext-real set
K41((sin (x + (h / 2))),(cos (x + (h / 2)))) is V11() V12() ext-real set
K39((cos (x + (h / 2)))) is V11() V12() ext-real set
K37((sin (x + (h / 2))),K39((cos (x + (h / 2))))) is V11() V12() ext-real set
(tan (x + (h / 2))) ^2 is V11() V12() ext-real Element of REAL
K37((tan (x + (h / 2))),(tan (x + (h / 2)))) is V11() V12() ext-real set
tan (x - (h / 2)) is V11() V12() ext-real Element of REAL
sin (x - (h / 2)) is V11() V12() ext-real set
sin . (x - (h / 2)) is V11() V12() ext-real Element of REAL
cos (x - (h / 2)) is V11() V12() ext-real set
K41((sin (x - (h / 2))),(cos (x - (h / 2)))) is V11() V12() ext-real set
K39((cos (x - (h / 2)))) is V11() V12() ext-real set
K37((sin (x - (h / 2))),K39((cos (x - (h / 2))))) is V11() V12() ext-real set
(tan (x - (h / 2))) ^2 is V11() V12() ext-real Element of REAL
K37((tan (x - (h / 2))),(tan (x - (h / 2)))) is V11() V12() ext-real set
((tan (x + (h / 2))) ^2) - ((tan (x - (h / 2))) ^2) is V11() V12() ext-real Element of REAL
K38(((tan (x - (h / 2))) ^2)) is V11() V12() ext-real set
K36(((tan (x + (h / 2))) ^2),K38(((tan (x - (h / 2))) ^2))) is V11() V12() ext-real set
(tan (x + (h / 2))) - (tan (x - (h / 2))) is V11() V12() ext-real Element of REAL
K38((tan (x - (h / 2)))) is V11() V12() ext-real set
K36((tan (x + (h / 2))),K38((tan (x - (h / 2))))) is V11() V12() ext-real set
(tan (x + (h / 2))) + (tan (x - (h / 2))) is V11() V12() ext-real Element of REAL
((tan (x + (h / 2))) - (tan (x - (h / 2)))) * ((tan (x + (h / 2))) + (tan (x - (h / 2)))) is V11() V12() ext-real Element of REAL
(x + (h / 2)) - (x - (h / 2)) is V11() V12() ext-real Element of REAL
K38((x - (h / 2))) is V11() V12() ext-real set
K36((x + (h / 2)),K38((x - (h / 2)))) is V11() V12() ext-real set
sin ((x + (h / 2)) - (x - (h / 2))) is V11() V12() ext-real Element of REAL
sin . ((x + (h / 2)) - (x - (h / 2))) is V11() V12() ext-real Element of REAL
(sin ((x + (h / 2)) - (x - (h / 2)))) / ((cos (x + (h / 2))) * (cos (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K39(((cos (x + (h / 2))) * (cos (x - (h / 2))))) is V11() V12() ext-real set
K37((sin ((x + (h / 2)) - (x - (h / 2)))),K39(((cos (x + (h / 2))) * (cos (x - (h / 2)))))) is V11() V12() ext-real set
((sin ((x + (h / 2)) - (x - (h / 2)))) / ((cos (x + (h / 2))) * (cos (x - (h / 2))))) * ((tan (x + (h / 2))) + (tan (x - (h / 2)))) is V11() V12() ext-real Element of REAL
sin h is V11() V12() ext-real Element of REAL
sin . h is V11() V12() ext-real Element of REAL
(sin h) / ((cos (x + (h / 2))) * (cos (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K37((sin h),K39(((cos (x + (h / 2))) * (cos (x - (h / 2)))))) is V11() V12() ext-real set
(x + (h / 2)) + (x - (h / 2)) is V11() V12() ext-real Element of REAL
sin ((x + (h / 2)) + (x - (h / 2))) is V11() V12() ext-real Element of REAL
sin . ((x + (h / 2)) + (x - (h / 2))) is V11() V12() ext-real Element of REAL
(sin ((x + (h / 2)) + (x - (h / 2)))) / ((cos (x + (h / 2))) * (cos (x - (h / 2)))) is V11() V12() ext-real Element of REAL
K37((sin ((x + (h / 2)) + (x - (h / 2)))),K39(((cos (x + (h / 2))) * (cos (x - (h / 2)))))) is V11() V12() ext-real set
((sin h) / ((cos (x + (h / 2))) * (cos (x - (h / 2))))) * ((sin ((x + (h / 2)) + (x - (h / 2)))) / ((cos (x + (h / 2))) * (cos (x - (h / 2))))) is V11() V12() ext-real Element of REAL
sin (2 * x) is V11() V12() ext-real Element of REAL
sin . (2 * x) is V11() V12() ext-real Element of REAL
(sin h) * (sin (2 * x)) is V11() V12() ext-real Element of REAL
((sin h) * (sin (2 * x))) / (((cos (x + (h / 2))) * (cos (x - (h / 2)))) ^2) is V11() V12() ext-real Element of REAL
K37(((sin h) * (sin (2 * x))),K39((((cos (x + (h / 2))) * (cos (x - (h / 2)))) ^2))) is V11() V12() ext-real set
- ((1 / 2) * ((cos (h + (2 * x))) - (cos (h - (2 * x))))) is V11() V12() ext-real Element of REAL
(- ((1 / 2) * ((cos (h + (2 * x))) - (cos (h - (2 * x)))))) / (((cos (x + (h / 2))) * (cos (x - (h / 2)))) ^2) is V11() V12() ext-real Element of REAL
K37((- ((1 / 2) * ((cos (h + (2 * x))) - (cos (h - (2 * x)))))),K39((((cos (x + (h / 2))) * (cos (x - (h / 2)))) ^2))) is V11() V12() ext-real set