Theoretical initial-to-final mass relation for our helium-enhanced evolutionary sequences with metallicity Z = 0.001 and Z = 0.0005 (black and red solid lines, respectively). We also show the mass of the HFC at the first thermal pulse for the case Y = 0.4, Z = 0.001 (blue solid line). In addition, the initial-to-final mass relation when overshooting is considered during the TP-AGB phase, and that resulting from sequences with standard helium content (Y = 0.247 and Z = 0.001) are also shown (blue dotted and green solid lines, respectively).
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