---------------------------------------------------------------------- LE_CONV (reduceLib) ---------------------------------------------------------------------- LE_CONV : conv SYNOPSIS Proves result of less-than-or-equal-to ordering on two numerals. LIBRARY reduce DESCRIBE If {m} and {n} are both numerals (e.g. {0}, {1}, {2}, {3},...), then {LE_CONV "m <= n"} returns the theorem: |- (m <= n) = T if the natural number denoted by {m} is less than or equal to that denoted by {n}, or |- (m <= n) = F otherwise. FAILURE {LE_CONV tm} fails unless {tm} is of the form {"m <= n"}, where {m} and {n} are numerals. EXAMPLE #LE_CONV "12 <= 198";; |- 12 <= 198 = T #LE_CONV "46 <= 46";; |- 46 <= 46 = T #LE_CONV "13 <= 12";; |- 13 <= 12 = F ----------------------------------------------------------------------