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OR_PFORALL_CONV                                            (PairRules)
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OR_PFORALL_CONV : conv

KEYWORDS
conversion, quantifier, universal, disjunction.

LIBRARY
pair

SYNOPSIS
Moves a paired universal quantification outwards through a disjunction.

DESCRIBE
When applied to a term of the form {(!p. t) \/ (!p. u)}, where no variables
from {p} are free in either {t} nor {u}, {OR_PFORALL_CONV} returns the theorem:

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




FAILURE
{OR_PFORALL_CONV} fails if it is applied to a term not of the form
{(!p. t) \/ (!p. u)}, or if it is applied to a term {(!p. t) \/ (!p. u)}
in which the variables from {p} are free in either {t} or {u}.

SEEALSO
Conv.OR_FORALL_CONV, PairRules.PFORALL_OR_CONV,
PairRules.LEFT_OR_PFORALL_CONV, PairRules.RIGHT_OR_PFORALL_CONV.

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