---------------------------------------------------------------------- RES_FORALL_SWAP_CONV (res_quanLib) ---------------------------------------------------------------------- RES_FORALL_SWAP_CONV : conv SYNOPSIS Changes the order of two restricted universal quantifications. KEYWORDS conversion, restricted quantifier, universal. DESCRIBE When applied to a term of the form {!x::P. !y::Q. R}, the conversion {RES_FORALL_SWAP_CONV} returns the theorem: |- (!x::P. !y::Q. R) = !y::Q. !x::P. R providing that {x} does not occur free in {Q} and {y} does not occur free in {P}. FAILURE Fails if applied to a term not of the correct form. SEEALSO res_quanLib.RES_FORALL_CONV. ----------------------------------------------------------------------