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Time Jumping

John, Paul and Bob were discussing the possibility of time travel, when Bob mentioned that one of his ancestors had once gone to sleep in the 1800s, and then woken up in the 1700s.
"Okay, Bob," responded John, "I'm up to your tricks. Your ancestor must have been on a ship across the international date line from East to West on January 1, 1800."
"Oh, no," responded Bob. "Actually, he went to sleep right in his own house and woke up without having moved."
"That's ridiculous!" responded John.
"I can prove it to you," responded Bob.
How could Bob prove such a thing?

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