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\DOC LIST_BETA_CONV
\TYPE {LIST_BETA_CONV : conv}
\SYNOPSIS
Performs an iterated beta conversion.
\KEYWORDS
conversion.
\DESCRIBE
The conversion {LIST_BETA_CONV} maps terms of the form
{
"(\x1 x2 ... xn. u) v1 v2 ... vn"
}
\noindent to the theorems of the form
{
|- (\x1 x2 ... xn. u) v1 v2 ... vn = u[v1/x1][v2/x2] ... [vn/xn]
}
\noindent where {u[vi/xi]} denotes the result of substituting {vi} for all free
occurrences of {xi} in {u}, after renaming sufficient bound variables to avoid
variable capture.
\FAILURE
{LIST_BETA_CONV tm} fails if {tm} does not have the form
{"(\x1 ... xn. u) v1 ... vn"} for {n} greater than 0.
\EXAMPLE
{
#LIST_BETA_CONV "(\x y. x+y) 1 2";;
|- (\x y. x + y)1 2 = 1 + 2
}
\SEEALSO
BETA_CONV, BETA_RULE, BETA_TAC, RIGHT_BETA, RIGHT_LIST_BETA.
\ENDDOC
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