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To complement @vdelecroix answer, the assumptions is a list of symbolic expressions which you can filter as follows:
sage: var('x,y')
(x, y)
sage: assume(x>0)
sage: assume(x<=1)
sage: assume(y==2)
sage: equalities = [ass for ass in assumptions() if ass.operator() == operator.eq]
sage: inequalities = [ass for ass in assumptions() if ass.operator() in [operator.lt, operator.le, operator.gt, operator.ge]]
sage: equalities
[y == 2]
sage: inequalities
[x > 0, x <= 1]
You might want to put operator.ne somewhere.
