File: UNDISCH.doc

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\DOC UNDISCH

\TYPE {UNDISCH : (thm -> thm)}

\SYNOPSIS
Undischarges the antecedent of an implicative theorem.

\KEYWORDS
rule, undischarge, antecedent.

\DESCRIBE
{
    A |- t1 ==> t2
   ----------------  UNDISCH
     A, t1 |- t2
}
\noindent Note that {UNDISCH} treats {"~u"} as {"u ==> F"}.

\FAILURE
{UNDISCH} will fail on theorems which are not implications or negations.

\COMMENTS
If the antecedent already appears in the hypotheses, it will not be duplicated.
However, unlike {DISCH},
if the antecedent is alpha-equivalent to one of the hypotheses,
it will still be added to the hypotheses.

\SEEALSO
DISCH, DISCH_ALL, DISCH_TAC, DISCH_THEN, FILTER_DISCH_TAC, FILTER_DISCH_THEN,
NEG_DISCH, STRIP_TAC, UNDISCH_ALL, UNDISCH_TAC.

\ENDDOC