NUM_MIN_CONV : term -> thm
- SYNOPSIS
-
Proves what the minimum of two natural number numerals is.
- DESCRIPTION
-
If n and m are numerals (e.g. 0, 1, 2, 3,...), then
NUM_MIN_CONV `MIN m n` returns the theorem:
where s is the numeral that denotes the minimum of the natural
numbers denoted by n and m.
- FAILURE CONDITIONS
-
NUM_MIN_CONV tm fails if tm is not of the form `MIN m n`, where n and
m are numerals.
- EXAMPLE
-
# NUM_MIN_CONV `MIN 11 12`;;
val it : thm = |- MIN 11 12 = 12
- SEE ALSO
-
NUM_DIV_CONV, NUM_EQ_CONV, NUM_EVEN_CONV, NUM_EXP_CONV, NUM_FACT_CONV,
NUM_GE_CONV, NUM_GT_CONV, NUM_LE_CONV, NUM_LT_CONV, NUM_MAX_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.