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AND_PFORALL_CONV                                           (PairRules)
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AND_PFORALL_CONV : conv

KEYWORDS
conversion, quantifier.

LIBRARY
pair

SYNOPSIS
Moves a paired universal quantification outwards through a conjunction.

DESCRIBE
When applied to a term of the form {(!p. t) /\ (!p. t)}, the conversion
{AND_PFORALL_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. t)}.

SEEALSO
Conv.AND_FORALL_CONV, PairRules.PFORALL_AND_CONV,
PairRules.LEFT_AND_PFORALL_CONV, PairRules.RIGHT_AND_PFORALL_CONV.

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