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RIGHT_IMP_FORALL_CONV                                           (Conv)
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RIGHT_IMP_FORALL_CONV : conv

SYNOPSIS
Moves a universal quantification of the consequent outwards through an
implication.

KEYWORDS
conversion, quantifier, universal, implication.

DESCRIBE
When applied to a term of the form {P ==> (!x.Q)}, the conversion
{RIGHT_IMP_FORALL_CONV} returns the theorem:

   |- P ==> (!x.Q) = (!x'. P ==> (Q[x'/x]))

where {x'} is a primed variant of {x} that does not appear free in
the input term.

FAILURE
Fails if applied to a term not of the form {P ==> (!x.Q)}.

SEEALSO
Conv.FORALL_IMP_CONV, Conv.LEFT_IMP_EXISTS_CONV.

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