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RIGHT_OR_PFORALL_CONV                                      (PairRules)
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RIGHT_OR_PFORALL_CONV : conv

KEYWORDS
conversion, quantifier, universal, disjunction.

LIBRARY
pair

SYNOPSIS
Moves a paired universal quantification of the right disjunct outwards through a
disjunction.

DESCRIBE
When applied to a term of the form {t \/ (!p. u)}, the conversion
{RIGHT_OR_FORALL_CONV} returns the theorem:

   |- t \/ (!p. u) = (!p'. t \/ (u[p'/p]))

where {p'} is a primed variant of the pair {p} that does not
contain any variables that appear free in the input term.

FAILURE
Fails if applied to a term not of the form {t \/ (!p. u)}.

SEEALSO
Conv.RIGHT_OR_FORALL_CONV, PairRules.OR_PFORALL_CONV,
PairRules.PFORALL_OR_CONV, PairRules.LEFT_OR_PFORALL_CONV.

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