Admissibility frontier · Edition 3

Expanded claim page · assertion 1 of 2

What closes

EstablishedIntegrator

Follows from declared assumptions and has an inspectable certificate. joins several typed results while letting the weakest edge set the claim.

Exact assertion

The route to Spin(2,3) begins with positive two-face response data rather than a top-down list of low-rank coincidences. Positive two-face response data supplies \(H_2(\mathbb R)\); Schur elimination becomes a Jordan-triple operation; Tits–Kantor–Koecher prolongation supplies the graded generators; and the resulting ten-dimensional real Lie algebra is \(\mathfrak{sp}(4,\mathbb R)\).

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 Jordan–Lie hinge”, section “What closes”. This is assertion 1 of 2 in that section.

Evidence posture

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

Research move

joins several typed results while letting the weakest edge set the claim.

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