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PFORALL_AND_CONV                                           (PairRules)
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PFORALL_AND_CONV : conv

KEYWORDS
conversion, quantifier, universal, conjunction.

LIBRARY
pair

SYNOPSIS
Moves a paired universal quantification inwards through a conjunction.

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

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




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

SEEALSO
Conv.FORALL_AND_CONV, PairRules.AND_PFORALL_CONV,
PairRules.LEFT_AND_PFORALL_CONV, PairRules.RIGHT_AND_PFORALL_CONV.

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