REAL_RAT_POW_CONV : conv

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

DESCRIPTION
The call REAL_RAT_POW_CONV `c pow n` where c is a rational literal of type :real and n is a numeral of type :num, returns |- c pow n = d where d is the canonical rational literal that is equal to c raised to the nth power. The literal c may be an integer literal (&n or -- &n), a ratios (&p / &q or -- &p / &q), or a decimal (#DDD.DDDD or #DDD.DDDDeNN). The result d is always put in the form &p / &q or -- &p / &q with q > 1 and p and q sharing no common factor, or simply &p or -- &p when that is impossible.

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

EXAMPLE
  # REAL_RAT_POW_CONV `#1.414 pow 2`;;
  val it : thm = |- #1.414 pow 2 = &1999396 / &1000000

SEE ALSO
REAL_RAT_ABS_CONV, REAL_RAT_ADD_CONV, REAL_RAT_DIV_CONV, REAL_RAT_EQ_CONV, REAL_RAT_GE_CONV, REAL_RAT_GT_CONV, REAL_RAT_INV_CONV, REAL_RAT_LE_CONV, REAL_RAT_LT_CONV, REAL_RAT_MAX_CONV, REAL_RAT_MIN_CONV, REAL_RAT_MUL_CONV, REAL_RAT_NEG_CONV, REAL_RAT_REDUCE_CONV, REAL_RAT_RED_CONV, REAL_RAT_SUB_CONV.