Authored proof knowledge base · The Logos Architecture

OR Commutativity (magnitude distinct)

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

{ "name": "OR Commutativity (magnitude distinct)", "formal": "∀a,b ∈ MCBExponent, |a| ≠ |b|: OR(a,b) = OR(b,a)", "proof": "The dominant (larger magnitude) operand determines the result", "implementation": "mcbExponentOR(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

The machine formalization date is separate from the original authored work. See the verification record for exact checked scope and any unresolved parts.

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.