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LEFT_AND_PFORALL_CONV                                      (PairRules)
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LEFT_AND_PFORALL_CONV : conv

LIBRARY
pair

SYNOPSIS
Moves a paired universal quantification of the left conjunct outwards through
a conjunction.

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

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

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

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

SEEALSO
Conv.LEFT_AND_FORALL_CONV, PairRules.AND_PFORALL_CONV,
PairRules.PFORALL_AND_CONV, PairRules.RIGHT_AND_PFORALL_CONV.

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