formal/hol/Help/BINOP_CONV.doc

\DOC BINOP_CONV

\TYPE {BINOP_CONV : conv -> conv}

\SYNOPSIS
Applies a conversion to both arguments of a binary operator.

\DESCRIBE
If {c} is a conversion where {c `l`} returns {|- l = l'} and {c `r`} returns
{|- r = r'}, then {BINOP_CONV c `op l r`} returns {|- op l r = op l' r'}. The
term {op} is arbitrary, but is often a constant such as addition or
conjunction.

\FAILURE
Never fails when applied to the conversion. But may fail when applied to the
term if one of the core conversions fails or returns an inappropriate theorem
on the subterms.

\EXAMPLE
{
  # BINOP_CONV NUM_ADD_CONV `(1 + 1) * (2 + 2)`;;
  val it : thm = |- (1 + 1) * (2 + 2) = 2 * 4
}

\SEEALSO
ABS_CONV, BINOP2_CONV, COMB_CONV, COMB2_CONV, RAND_CONV, RATOR_CONV.

\ENDDOC