REAL_INT_POW_CONV : conv

SYNOPSIS

Conversion to perform exponentiation on a integer literal of type :real.

DESCRIPTION

The call REAL_INT_POW_CONV `c pow n` where c is an integer literal of type :real and n is a numeral of type :num, returns |- c pow n = d where d is the canonical integer literal that is equal to c raised to the nth power. The literal c may be of the form &n or -- &n (with nonzero n in the latter case) and the result will be of the same form.

FAILURE CONDITIONS

Fails if applied to a term that is not a permitted integer literal of type :real raised to a numeral power.

EXAMPLE

  # REAL_INT_POW_CONV `(-- &2) pow 77`;;
  val it : thm = |- -- &2 pow 77 = -- &151115727451828646838272

COMMENTS

The related function REAL_RAT_POW_CONV subsumes this functionality, also applying to rational literals. Unless the restriction to integers is desired or a tiny efficiency difference matters, it should be used in preference.