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