Authored proof knowledge base · The Logos Architecture

AND Commutativity

Authored by Maclain Hunter · first-party-authored-archive · archived-authored-source

{ "name": "AND Commutativity", "formal": "∀a,b ∈ MCBExponent: AND(a,b) = AND(b,a)", "proof": "Follows from commutativity of multiplication and symmetry of min", "implementation": "mcbExponentAND(a: MCBExponent, b: MCBExponent): MCBExponent" }

Lean 4 verification and timestamps

Read the actual kernel result, axiom dependencies, formal statements and source-bound timestamp · Machine-readable verification

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Logic-centered continuity

This authored proof is connected to Logic, Logos, God, and the self-evident Ground of Reality, and to the distinct systems 4P Engine, MCB Core, 4P-MCB, and the source-first Canon. Formal proof, empirical evidence, and system-generated records remain separately typed.