Optionalinner_Optionalleaf_any field in the ExistenceProof must be the same as in this spec. except Prefix, which is just the first bytes of prefix (spec can be longer)
Optionalmax_max_depth (if > 0) is the maximum number of InnerOps allowed (mainly for fixed-depth tries)
Optionalmin_min_depth (if > 0) is the minimum number of InnerOps allowed (mainly for fixed-depth tries)
ProofSpec defines what the expected parameters are for a given proof type. This can be stored in the client and used to validate any incoming proofs.
verify(ProofSpec, Proof) -> Proof | Error
As demonstrated in tests, if we don't fix the algorithm used to calculate the LeafHash for a given tree, there are many possible key-value pairs that can generate a given hash (by interpretting the preimage differently). We need this for proper security, requires client knows a priori what tree format server uses. But not in code, rather a configuration object.