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EIP-4788 - what does it mean to prove something and how is it done?

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https://eips.ethereum.org/EIPS/eip-4788 states:

Roots of the beacon chain blocks are cryptographic accumulators that allow proofs of arbitrary consensus state.

What does it mean to create proofs or arbitrary data? Who is proving what to who?

For example, if I wanted to know if a validator was indeed validating at a specific timestamp, would I query a beacon node for validator data, then build a beacon state root myself, and validate that with the beacon state root I can get via the EVM contract?

submitted by /u/tawhuac
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