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\DOC GENL

\TYPE {GENL : (term list -> thm -> thm)}

\SYNOPSIS
Generalizes zero or more variables in the conclusion of a theorem.

\KEYWORDS
rule, quantifier, universal.

\DESCRIBE
When applied to a term list {[x1;...;xn]} and a theorem {A |- t}, the inference
rule {GENL} returns the theorem {A |- !x1...xn. t}, provided none of the
variables {xi} are free in any of the assumptions. It is not necessary that
any or all of the {xi} should be free in {t}.
{
         A |- t
   ------------------  GENL "[x1;...;xn]"       [where no xi is free in A]
    A |- !x1...xn. t
}
\FAILURE
Fails unless all the terms in the list are variables, none of which are
free in the assumption list.

\SEEALSO
GEN, GEN_ALL, GEN_TAC, SPEC, SPECL, SPEC_ALL, SPEC_TAC.

\ENDDOC