File: COND_CONV.doc

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\DOC COND_CONV

\TYPE {COND_CONV : conv}

\SYNOPSIS
Simplifies conditional terms.

\KEYWORDS
conversion, conditional.

\DESCRIBE
The conversion {COND_CONV} simplifies a conditional term {"c => u | v"} if
the condition {c} is either the constant {T} or the constant {F} or
if the two terms {u} and {v} are equivalent up to alpha-conversion.
The theorems returned in these three cases have the forms:
{
   |- (T => u | v) = u

   |- (F => u | v) = u

   |- (c => u | u) = u
}
\FAILURE
{COND_CONV tm} fails if {tm} is not a conditional {"c => u | v"}, where
{c} is {T} or {F}, or {u} and {v} are alpha-equivalent.

\ENDDOC