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The Rule of Logic is the Rule of Logic and this A is A form entails and encompasses all logical rules and/as (or aligned with) First Cause. \n\nLogical Proof (Formal Argument): \n\n{P <-> P} |= (((P v ~P) & (P <-> ~~P)) & ((P -> P) & (~P -> ~P)))\n\nNotes on Formal Structure (Above): \n\nI would point out that the FORMAL LOGIC is displaying the traditional rules of Logic (Identity, Non-Contradiction, Excluded Middle) and the PSR (Principle of Sufficient Reason). What we call “double negation elimination” (ie - “P <-> ~~P”) is a way of writing the Law of Non-Contradiction - that P cannot be “not P”. \n\nLikewise, “P <-> P” displays the Law of Identity and is appropriately what sits on the left of the entailment sign here, true to the way that Identity (A is A) entails all other logical rules and concepts and is synonymous with the Foundational Coherence of Logic and Reality (Logos a.k.a. 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