Presently, because forall and exists return tuples rather than
booleans, their return value is always True, so they cannot be used as
a predicate, which is very unintuitive given their names. Proposed
solution: optional parameter witness (default: False) that determines
return value type.

Ticket (has patch)

http://trac.sagemath.org/sage_trac/attachment/ticket/1987
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