  In this letter, we report the discovery of 24 new super Li-rich (A(Li) $\ge$
3.2) giants of He-core burning phase at red clump region. Results are based on
systematic search of a large sample of about 12,500 giants common to the LAMOST
spectroscopic and Kepler time resolved photometric surveys. The two key
parameters derived from Kepler data; average period spacing ($\Delta p$)
between $l=1$ mixed gravity dominated g-modes and average large frequency
separation ($\Delta \nu$) $l=0$ acoustic p-modes, suggest all the Li-rich
giants are in He-core burning phase. This is the first unbiased survey
subjected to a robust technique of asteroseismic analysis to unambiguously
determine evolutionary phase of Li-rich giants. The results provide a strong
evidence that Li enhancement phenomenon is associated with giants of He-core
burning phase, post He-flash, rather than any other phase on RGB with inert
He-core surrounded by H-burning shell.
