The `MerklePatricia` library provides functions to verify Merkle Patricia proofs for both Substrate and Ethereum blockchains. It includes methods to verify proofs (`VerifySubstrateProof` and `VerifyEthereumProof`) by traversing the trie structure and checking the existence and values of specified keys. Additionally, it offers a method (`ReadChildProofCheck`) to verify keys in Substrate child tries.

The `MerkleMountainRange` library provides functionality to verify and calculate the root hash of a Merkle Mountain Range (MMR) tree. It includes methods to verify MMR proofs, calculate the MMR root, handle subtree heights, compute subtree roots, and manage node indices and sibling relationships. This library is essential for ensuring the integrity and validity of data within an MMR structure.

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