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\DOC NUM_ADD_CONV
\TYPE {NUM_ADD_CONV : term -> thm}
\SYNOPSIS
Proves what the sum of two natural number numerals is.
\KEYWORDS
conversion, number, arithmetic.
\DESCRIBE
If {n} and {m} are numerals (e.g. {0}, {1}, {2}, {3},...), then
{NUM_ADD_CONV `n + m`} returns the theorem:
{
|- n + m = s
}
\noindent where {s} is the numeral that denotes the sum of the natural
numbers denoted by {n} and {m}.
\FAILURE
{NUM_ADD_CONV tm} fails if {tm} is not of the form {`n + m`}, where {n} and
{m} are numerals.
\EXAMPLE
{
# NUM_ADD_CONV `75 + 25`;;
val it : thm = |- 75 + 25 = 100
}
\SEEALSO
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_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.
\ENDDOC
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