Operating principles of Lithium Polymer battery

As the battery is charged,the Li-ions in the cathode material migrate via a separator
to the layers of carbon material that form the anode,and a charging current flows.

As the battery is discharged, the Li-ions in the carbon material that form the anode migrate via a separator to the cathode material, and a dischargeing current flows.

Lithium Polymer battery does not contain any metal lithium.Correctly speaking,only Li-ions move between the positive and negative poles, leaving the cathode and anode materials unchanged.