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OR_PEXISTS_CONV                                            (PairRules)
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OR_PEXISTS_CONV : conv

KEYWORDS
conversion, quantifier, existential, disjunction.

LIBRARY
pair

SYNOPSIS
Moves a paired existential quantification outwards through a disjunction.

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

   |- (?p. t) \/ (?p. u) = (?p. t \/ u)




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

SEEALSO
Conv.OR_EXISTS_CONV, PairRules.PEXISTS_OR_CONV,
PairRules.LEFT_OR_PEXISTS_CONV, PairRules.RIGHT_OR_PEXISTS_CONV.

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