File: FORALL_AND_CONV.doc

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\DOC FORALL_AND_CONV

\TYPE {FORALL_AND_CONV : conv}

\SYNOPSIS
Moves a universal quantification inwards through a conjunction.

\KEYWORDS
conversion, quantifier, universal, conjunction.

\DESCRIBE
When applied to a term of the form {!x. P /\ Q}, the conversion
{FORALL_AND_CONV} returns the theorem:
{
   |- (!x. P /\ Q) = (!x.P) /\ (!x.Q)
}
\FAILURE
Fails if applied to a term not of the form {!x. P /\ Q}.

\SEEALSO
AND_FORALL_CONV, LEFT_AND_FORALL_CONV, RIGHT_AND_FORALL_CONV.

\ENDDOC