File: EQT_ELIM.doc

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\DOC EQT_ELIM

\TYPE {EQT_ELIM : thm -> thm}

\SYNOPSIS
Eliminates equality with {T}.

\KEYWORDS
rule, truth.

\DESCRIBE
{
    A |- tm <=> T
   ---------------  EQT_ELIM
      A |- tm
}
\FAILURE
Fails if the argument theorem is not of the form {A |- tm <=> T}.

\EXAMPLE
{
  # REFL `T`;;
  val it : thm = |- T <=> T
  
  # EQT_ELIM it;;
  val it : thm = |- T
}

\SEEALSO
EQF_ELIM, EQF_INTRO, EQT_INTRO.

\ENDDOC