EXP_CONV : conv
STRUCTURE
SYNOPSIS
Calculates by inference the result of raising one numeral to the power of another.
LIBRARY
reduce
DESCRIPTION
If m and n are numerals (e.g. 0, 1, 2, 3,...), then EXP_CONV "m EXP n" returns the theorem:
   |- m EXP n = s
where s is the numeral that denotes the result of raising the natural number denoted by m to the power of the natural number denoted by n.
FAILURE
EXP_CONV tm fails unless tm is of the form "m EXP n", where m and n are numerals.
EXAMPLE
#EXP_CONV "0 EXP 0";;
|- 0 EXP 0 = 1

#EXP_CONV "15 EXP 0";;
|- 15 EXP 0 = 1

#EXP_CONV "12 EXP 1";;
|- 12 EXP 1 = 12

#EXP_CONV "2 EXP 6";;
|- 2 EXP 6 = 64
HOL  Kananaskis-13