Following hydrogen depletion in the core, what immediately causes the inert helium core to begin contracting?

Answer

The drop in outward thermal pressure allowing gravity to dominate

When hydrogen fusion ceases in the core, the thermal pressure that supported the star against its own gravity vanishes, allowing the immense mass to squeeze the inert helium core inward.

Following hydrogen depletion in the core, what immediately causes the inert helium core to begin contracting?
evolutionhydrogenCorestarFusion