File: FIX_TAC.doc

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\DOC FIX_TAC

\TYPE {FIX_TAC : string -> tactic}

\SYNOPSIS
Fixes universally quantified variables in goal.

\DESCRIBE
Given a string {s} indicating a sequence of variable names, {FIX_TAC s}
performs the introduction of the indicated variables. It is not required to
specify the variables in any particular order. The syntax for the string
argument s allows the following patterns:

\begin{{itemize}}

\item a variable name {varname} (meaning intruduce the variable varname)

\item a pattern {[newname/varname]} (meaning introduce {varname} and call it
   {newname})

\item a final {*} (meaning introduce the remaining variables)

\end{{itemize}}

\FAILURE
Fails if the string specifying the variables is ill-formed or if some of the
indicated variables are not present as outer universal quantifiers in the goal.

\EXAMPLE
Here we fix just the variable {a}:
{
  # g `!x a. a + x = x + a`;;
  # e (FIX_TAC "a");;
  val it : goalstack = 1 subgoal (1 total)

  `!x. a + x = x + a`
}
\noindent while here we rename one of the variables and fix all the others:
{
  # g `!a b x. a + b + x = (a + b) + x`;;
  #  e (FIX_TAC "[d/x] *");;
  val it : goalstack = 1 subgoal (1 total)

  `a + b + d = (a + b) + d`
}

\SEEALSO
GEN, GEN_TAC, INTRO_TAC, STRIP_TAC, X_GEN_TAC.

\ENDDOC