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from sage.structure.parent cimport Parent, Parent_richcmp_element_without_coercion 

from sage.structure.element cimport ModuleElement, RingElement, Element 

  

cpdef is_LinearFunction(x) 

  

cdef class LinearFunctionOrConstraint(ModuleElement): 

pass 

  

cdef class LinearFunctionsParent_class(Parent): 

cpdef _element_constructor_(self, x) 

cpdef _coerce_map_from_(self, R) 

cdef public _multiplication_symbol 

  

cdef class LinearFunction(LinearFunctionOrConstraint): 

cdef dict _f 

cpdef _add_(self, other) 

cpdef iteritems(self) 

cpdef _acted_upon_(self, x, bint self_on_left) 

cpdef is_zero(self) 

cpdef equals(LinearFunction left, LinearFunction right) 

  

cdef class LinearConstraintsParent_class(Parent): 

cdef LinearFunctionsParent_class _LF 

cpdef _element_constructor_(self, left, right=?, equality=?) 

cpdef _coerce_map_from_(self, R) 

  

cdef class LinearConstraint(LinearFunctionOrConstraint): 

cdef bint equality 

cdef list constraints 

cpdef equals(LinearConstraint left, LinearConstraint right)