File: NUM_LESS_EQ_PLUS_CONV.doc

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\DOC NUM_LESS_EQ_PLUS_CONV

\TYPE {NUM_LESS_EQ_PLUS_CONV : (term -> conv)}

\SYNOPSIS
Adds a given expression of type {:num} to both sides of a less-than-or-equal
expression. 

\KEYWORDS
addition, conversion.

\LIBRARY more_arithmetic

\DESCRIBE
When applied to terms of the form {"n"} and {"p <= q"}, where
{n}, {p} and {q} have type {:num}, the conversion
{NUM_LESS_EQ_PLUS_CONV} returns the theorem:
{
   |-  p <= q = (p + n) <= (q + n)
}

\FAILURE
Fails if the first term does not have type {:num} or the second does not have
the form {"p <= q"}.

\SEEALSO
NUM_EQ_PLUS_CONV, NUM_LESS_PLUS_CONV.

\ENDDOC