Lean verification registry · Authored proofs · The Logos Architecture
Written formal sequents verified
Axiom-free: true · 2 checked theorem statements.
Lean establishes the listed formal statements and dependencies. The exact authored source, Ground, known premise meanings, application validation and empirical evidence remain separately typed. No unencoded section is certified by a neighboring theorem.
Original source author: Maclain Hunter. Machine formalization: Replit Agent. No original wording was rewritten.
Source registered: 2026-10-03T01:29:42.877Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:39:12.969Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: 20179b435cf0ea7a51c6f54473b14b4f81821c5e20a29abca12c1f8abf279faf
Lean source · Verification JSON · Exact archived source JSON · Compiler report · Current authored source page · Signed release and verification instructions
Lean (version 4.7.0, commit v4.7.0, Release) exitCode=0 'HunterAuthored.inference_1' does not depend on any axioms 'HunterAuthored.source_identity_rule' does not depend on any axioms
{P, P -> Q, Q -> R, R -> S, S -> T} |= ((P & Q) & (R & S)) & T
Exact source sequent under finite two-valued propositional semantics. Source proposition meanings and Logic/Logos/God Ground are preserved separately; this checks the inference, not unencoded prose.
A is A
The explicitly named Identity rule, over every type and element. The remaining prose is not replaced by this witness.
Logic and the Battle of the Sexes by Maclain Hunter
Abstract: I write this to address an underlying theme of many of the complaints I see from what we might call feminists or people (often but not always women) lamenting the “Patriarchy” and how more men aren’t “moral enough” (or the like) to give women more equality and power than men have.
In that I find the request to be ignorant of Logic and puts men in an impossible position of trying to arbitrarily give away power that is not to be arbitrarily held in the first place by any man, woman, entity, Logic, or Logos. Even God (as Logos) doesn’t get or have arbitrary power, so the demand is at least as absurd to my eye as any woman or man demanding power arbitrarily from God or Logic (Logos).
I will demonstrate these ideas.
Premises:
P: Arbitrary power is a contradiction in Logic and even/especially for the Logos. Reason is power in Reason, and unreasonable power is self-refuting.
Q: No man logically has arbitrary power to begin with. If any man truly has true power by Logos then it was earned by logical engagement with Logic and Reality (Logos; the Ultimate Reality called God in coherent Theology or Logic in the coherent study of Logic).
R: No man has the power to arbitrarily give a woman power, just as no man has true power by taking arbitrary control and having illogical power.
S: All power and (higher) rank in the Order of the Cosmos is attained by logical attainment and demonstrated Coherence, not arbitrary demands or claims to have a “God given right to equal status” (a bastardization of equal rights in limited political contexts or the basic equality of identity that we all “are what we are” and are “created equal” as “images and forms of God (or A is A Logic)” equally.
T: Assume a man arbitrarily or for the mere sake of “equality” (or flatness; or disorder; or conflation) gave a woman, some women, or all women x power and/or x amount of power. That leads merely to the man having done something and the woman/women having gained something arbitrary and illusory that isn’t backed properly by Logos.
Proof:
{P, P -> Q, Q -> R, R -> S, S -> T} |= ((P & Q) & (R & S)) & T
Truth Table:
TTTTT⎪T TTT TTT TTT TTT TTT T TTT TT
TTTTF⎪T TTT TTT TTT TFF TTT T TTT FF
TTTFT⎪T TTT TTT TFF FTT TTT F TFF FT
TTTFF⎪T TTT TTT TFF FTF TTT F TFF FF
TTFTT⎪T TTT TFF FTT TTT TTT F FFT FT
TTFTF⎪T TTT TFF FTT TFF TTT F FFT FF
TTFFT⎪T TTT TFF FTF FTT TTT F FFF FT
TTFFF⎪T TTT TFF FTF FTF TTT F FFF FF
TFTTT⎪T TFF FTT TTT TTT TFF F TTT FT
TFTTF⎪T TFF FTT TTT TFF TFF F TTT FF
TFTFT⎪T TFF FTT TFF FTT TFF F TFF FT
TFTFF⎪T TFF FTT TFF FTF TFF F TFF FF
TFFTT⎪T TFF FTF FTT TTT TFF F FFT FT
TFFTF⎪T TFF FTF FTT TFF TFF F FFT FF
TFFFT⎪T TFF FTF FTF FTT TFF F FFF FT
TFFFF⎪T TFF FTF FTF FTF TFF F FFF FF
FTTTT⎪F FTT TTT TTT TTT FFT F TTT FT
FTTTF⎪F FTT TTT TTT TFF FFT F TTT FF
FTTFT⎪F FTT TTT TFF FTT FFT F TFF FT
FTTFF⎪F FTT TTT TFF FTF FFT F TFF FF
FTFTT⎪F FTT TFF FTT TTT FFT F FFT FT
FTFTF⎪F FTT TFF FTT TFF FFT F FFT FF
FTFFT⎪F FTT TFF FTF FTT FFT F FFF FT
FTFFF⎪F FTT TFF FTF FTF FFT F FFF FF
FFTTT⎪F FTF FTT TTT TTT FFF F TTT FT
FFTTF⎪F FTF FTT TTT TFF FFF F TTT FF
FFTFT⎪F FTF FTT TFF FTT FFF F TFF FT
FFTFF⎪F FTF FTT TFF FTF FFF F TFF FF
FFFTT⎪F FTF FTF FTT TTT FFF F FFT FT
FFFTF⎪F FTF FTF FTT TFF FFF F FFT FF
FFFFT⎪F FTF FTF FTF FTT FFF F FFF FT
FFFFF⎪F FTF FTF FTF FTF FFF F FFF FF
Valid
QED