Nope, that article in the wiki you refer to is misleading in some way as network consensus (defined by Satoshi and referenced in my above post) differs from rules of Bitcoin as to the transaction validation. Those rules to validate transaction are the the set of rules to ensure that transactions in the block follow correct protocol to build them (all scripts are valid and so on) and the record of those transaction included into the block is correct.
the rules you refer to (following the chain with the most proof of work) can be categorized under the same category of consensus rules. as i said they
include block and transaction validation. there are more rules under block verification that include verifying the proof of work of that block, finding chain splits and following the longest chain,...