NUM_FACT_CONV : term -> thm
Proves what the factorial of a natural number numeral is.
If n is a numeral (e.g. 0, 1, 2, 3,...), then
NUM_FACT_CONV `FACT n` returns the theorem:
where s is the numeral that denotes the factorial of the natural
number denoted by n.
- FAILURE CONDITIONS
NUM_FACT_CONV tm fails if tm is not of the form `FACT n`, where n is a
# NUM_FACT_CONV `FACT 0`;;
val it : thm = |- FACT 0 = 1
# NUM_FACT_CONV `FACT 6`;;
val it : thm = |- FACT 6 = 720
# NUM_FACT_CONV `FACT 30`;;
val it : thm = |- FACT 30 = 265252859812191058636308480000000
- SEE ALSO
NUM_ADD_CONV, NUM_DIV_CONV, NUM_EQ_CONV, NUM_EVEN_CONV, NUM_EXP_CONV,
NUM_GE_CONV, NUM_GT_CONV, NUM_LE_CONV, NUM_LT_CONV, NUM_MAX_CONV, NUM_MIN_CONV,
NUM_MOD_CONV, NUM_MULT_CONV, NUM_ODD_CONV, NUM_PRE_CONV, NUM_REDUCE_CONV,
NUM_RED_CONV, NUM_REL_CONV, NUM_SUB_CONV, NUM_SUC_CONV.