File: THEN_TCL.doc

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\DOC THEN_TCL

\TYPE {$THEN_TCL : (thm_tactical -> thm_tactical -> thm_tactical)}

\SYNOPSIS
Composes two theorem-tacticals.

\KEYWORDS
theorem-tactical.

\DESCRIBE
If {ttl1} and {ttl2} are two theorem-tacticals, {ttl1 THEN_TCL ttl2} is
a theorem-tactical which composes their effect; that is, if:
{
   ttl1 ttac th1 = ttac th2
}
\noindent and
{
   ttl2 ttac th2 = ttac th3
}
\noindent then
{
   (ttl1 THEN_TCL ttl2) ttac th1 = ttac th3
}
\FAILURE
The application of {THEN_TCL} to a pair of theorem-tacticals never fails.

\SEEALSO
EVERY_TCL, FIRST_TCL, ORELSE_TCL.

\ENDDOC