You're playing the rom. The roms will freeze after setting trainer name, etc. without a special patch.
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There isn't any anti-freeze code on Pokemon SoulSilver or HeartGold at this current time being.
There is no best Pokemon on Pokemon HeartGold.
there is no Pokemon Mansion in Heartgold.
They are not in Pokemon HeartGold
No, but you can trade Pokemon only in HeartGold to Black