EXP_CONV
reduceLib.EXP_CONV : conv
Calculates by inference the result of raising one numeral to the power of another.
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