Authored proof knowledge base · The Logos Architecture
Logic Preserved through Coherent Transformations
Authored by Maclain Hunter · first-party-authored · authored-foundational-record
Stored 4P source diagnostic: clear · finding no_violation_detected · admission admitted_provisionally. This intake result is separate from the theorem checks of the exact propositional sequent.
P: Necessarily, Logic that is Logic is Logic when not modified or incoherent.
Q: Necessarily, Logic that undergoes coherent temporal changes (when logic is used) maintains integrity through time and space.
Q: Necessarily, Logic that undergoes coherent hierarchical (its level or scope) reorganization remains Logic in that context with its coherence and integrity preserved. If integrity and coherent are not maintained then this arbitrarily modified Logic is no longer truly Logic.
R: Necessarily, Logic that undergoes coherent changes in extent (its range), and application or use and which maintains integrity through changes in extent, scope, and application remains Logic that is Logic. If the integrity and coherence are absent then the Logic is transformed into something that is not Logic (anymore).
S: Assume that P, Q, and R were false, invalid, and not logically consistent premises, then that would lead to logical contradiction where Logic and coherent changes to Logic resulted in Logic being “not Logic” which violates the Law of Non-Contradiction, confirming that the premises and Logic (the Standard of Truth) must be logically true.
Formal Proof:
{P, P -> Q, Q -> R, S <-> P} |= (P & Q) & (R & S)
Conclusion: {P, Q, R, S}:
Logic is Logic, prior to transformation/modification and throughout coherent changes.
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.