File: LEFT_OR_FORALL_CONV.doc

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\DOC LEFT_OR_FORALL_CONV

\TYPE {LEFT_OR_FORALL_CONV : conv}

\SYNOPSIS
Moves a universal quantification of the left disjunct outwards through a
disjunction.

\KEYWORDS
conversion, quantifier, universal, disjunction.

\DESCRIBE
When applied to a term of the form {(!x.P) \/ Q}, the conversion
{LEFT_OR_FORALL_CONV} returns the theorem:
{
   |- (!x.P) \/ Q = (!x'. P[x'/x] \/ Q)
}
\noindent where {x'} is a primed variant of {x} that does not appear free in
the input term.

\FAILURE
Fails if applied to a term not of the form {(!x.P) \/ Q}.

\SEEALSO
OR_FORALL_CONV, FORALL_OR_CONV, RIGHT_OR_FORALL_CONV.

\ENDDOC