Admissibility frontier · Edition 3

Expanded claim page · assertion 2 of 3

the mirror face exists before the quotient

EstablishedBuilder

Follows from declared assumptions and has an inspectable certificate. constructs a model, mechanism, calculation, protocol or intervention.

Exact assertion

The audited snapshot has 43 records, 41 distinct typed edge atoms and lift rank 41. Swapping the two rails carries the kernel of the graph to the kernel of the arrow-reversed graph even when no reverse records were authored. This mirror is an involution: it squares to +1. It is neither the missing path-algebra dagger nor the symplectic quarter-turn that squares to −1.

What this commits us to

The stated conclusion follows inside the declared model. Reusing it elsewhere requires carrying the same object definitions, assumptions and typing.

Logical anatomy

Scope

Chapter “The admissibility frontier”, section “the mirror face exists before the quotient”. This is assertion 2 of 3 in that section.

Evidence posture

Audit the declared carrier, assumptions and certificate. The result is exact only within that written scope.

Research move

constructs a model, mechanism, calculation, protocol or intervention.

Verification route

  1. Recover the declared objects and assumptions from the controlling documents.
  2. Check the calculation, construction, obstruction or stopping rule on those same objects.
  3. Compare the source conclusion with the exact assertion above; do not strengthen its verbs or enlarge its domain.
  4. Apply the status rule and retain every named external dependency.

What would move or defeat this claim

Locate a mismatched definition, an omitted assumption, a failed certificate step or a counterexample on the declared carrier.

Source map

Controlling documents