formal/hol/Help/BINOP2_CONV.doc

\DOC BINOP2_CONV

\TYPE {BINOP2_CONV : conv -> conv -> conv}

\SYNOPSIS
Applies conversions to the two arguments of a binary operator.

\DESCRIBE
If {c1} is a conversion where {c1 `l`} returns {|- l = l'} and {c2} is a
conversion where {c2 `r`} returns {|- r = r'}, then
{BINOP2_CONV c1 c2 `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
{
  # BINOP2_CONV NUM_ADD_CONV NUM_SUB_CONV `(3 + 3) * (10 - 3)`;;
  val it : thm = |- (3 + 3) * (10 - 3) = 6 * 7
}

\COMMENTS
The special case when the two conversions are the same is more briefly achieved
using {BINOP_CONV}.

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

\ENDDOC