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fricas
f:=operator 'f

\label{eq1}f(1)
fricas
differentiate(f(x),x) = differentiate(f(y),y)

\label{eq2}{{f_{\ }^{,}}\left({x}\right)}={{f_{\ }^{,}}\left({y}\right)}(2)
Type: Equation(Expression(Integer))
fricas
test %

\label{eq3} \mbox{\rm false} (3)
Type: Boolean
fricas
integrate(f(x),x) = integrate(f(y),y)

\label{eq4}{\int^{
\displaystyle
x}{{f \left({\%C}\right)}\ {d \%C}}}={\int^{
\displaystyle
y}{{f \left({\%C}\right)}\ {d \%C}}}(4)
Type: Equation(Expression(Integer))
fricas
test %

\label{eq5} \mbox{\rm false} (5)
Type: Boolean
fricas
-- y is replaced with x?
product(f(x),x) = product(f(y),y)

\label{eq6}{\prod_{
\displaystyle
x}{f \left({x}\right)}}={\prod_{
\displaystyle
x}{f \left({x}\right)}}(6)
Type: Equation(Expression(Integer))
fricas
test %

\label{eq7} \mbox{\rm true} (7)
Type: Boolean
fricas
smaller?(product(f(x),x),product(f(y),y))

\label{eq8} \mbox{\rm false} (8)
Type: Boolean
fricas
smaller?(product(f(y),y),product(f(x),x))

\label{eq9} \mbox{\rm false} (9)
Type: Boolean
fricas
sum(f(x),x) = sum(f(y),y)

\label{eq10}{\sum_{
\displaystyle
x}{f \left({x}\right)}}={\sum_{
\displaystyle
x}{f \left({x}\right)}}(10)
Type: Equation(Expression(Integer))
fricas
test %

\label{eq11} \mbox{\rm true} (11)
Type: Boolean
fricas
smaller?(sum(f(x),x),sum(f(y),y))

\label{eq12} \mbox{\rm false} (12)
Type: Boolean
fricas
smaller?(sum(f(y),y),sum(f(x),x))

\label{eq13} \mbox{\rm false} (13)
Type: Boolean




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