NUM_EXP_CONV : term -> thm

SYNOPSIS

Proves what the exponential of two natural number numerals is.

DESCRIPTION

If n and m are numerals (e.g. 0, 1, 2, 3,...), then NUM_EXP_CONV `n EXP m` returns the theorem:

   |- n EXP m = s

where s is the numeral that denotes the natural number denoted by n raised to the power of the one denoted by m.

FAILURE CONDITIONS

NUM_EXP_CONV tm fails if tm is not of the form `n EXP m`, where n and m are numerals.

EXAMPLE

  # NUM_EXP_CONV `2 EXP 64`;;
  val it : thm = |- 2 EXP 64 = 18446744073709551616

  # NUM_EXP_CONV `1 EXP 99`;;
  val it : thm = |- 1 EXP 99 = 1

  # NUM_EXP_CONV `0 EXP 0`;;
  val it : thm = |- 0 EXP 0 = 1

  # NUM_EXP_CONV `0 EXP 10000`;;
  val it : thm = |- 0 EXP 10000 = 0