Item 41: The safety theorem against the dependency's own construction
Normativity line — traderized enforcement · difficulty substantial · project normativity · closed · node item-41
— answered by the proof-closing pass
Answered by the traderized-enforcement round's proof-closing pass, and registered: force.preservation, force.deductive-criterion, force.deductive-inductor and force.deductive-witness in projects/normativity/CLAIMS.md. The modified market is defined inside the pinned dependency's own types and no efficiently computable trader exploits it; the witness inhabits the whole hypothesis package with the liability bound derived rather than assumed. Record: projects/normativity/rounds/2026-08-16-traderized-enforcement/.
Registered results bearing on this item
- force.deductive-criterion: The dominance step is the pinned source's own trading_firm_dominance at its own DeductiveProcess, so the conclusion is the source's criterion over D rather than a generalization of it.
- force.deductive-cumulative-nonneg: Per-date nonnegativity summed. This is why deduction is the free case rather than one instance among equals: the risk capital is exactly zero, so no affordability side-condition binds and the toleranc
- force.deductive-day-nonneg: Every deductively plausible world lies in the coherence polytope, so the enforcement position's day value is nonnegative there for any nonnegative intensity.
- force.deductive-inductor: The criterion form, assembled as the dependency's own IsLogicalInductor. Its computable-market hypothesis is discharged separately by the projection arc's compiler.
- force.deductive-witness: A deductive process revealing one atom, an added trader, and the liability bound derived from the force algebra rather than assumed, at a presentation a legal price can violate. A theorem whose hypoth
- force.preservation: Sufficiency only. The converse is item 40 and the forward proof discards information, so this is not an equivalence.
- force.row-tolerance: Positivity of the disturbance is load-bearing and is carried in the statement: at zero disturbance the intensity condition is met by a zero intensity, which enforces nothing.
- force.strategy-value: The compiled enforcement position is a legal Strategy whose value against a payout table is exactly the quantity the force inequalities bound. Without this identity those inequalities are algebra abou
Where it hangs
- held by normativity