Manuscript IX-Free-2@1 · IX-Free-2.tex · assumption · abb2397a

Assumption: One calibrated parent

Release alternatives and inherited contract › Explicit inherited premises · lines 492–513

IX-Free-2@1#ass:parent, IX-Free-2@1#eq:parent

Fix the inherited regulator and scale. The calibrated distributions $u_{μ}^{ρ}, r \in D^{'} (X)$ exist under the analytical premise explicitly reported in IX-Free. For the one fixed real parameter $c$ , set

U_{c} = u_{μ}^{ρ} + cr, N_{c} (f, g, f^{'}) = ⟨ U_{c}, f \otimes g \otimes f^{'} ⟩ .

The parent has dagger symmetry under conjugation and exchange of $x, x^{'}$ , and its declared numerical observation operations use this same parameter. Algebraic scalar descent has already been evaluated:

C_{desc} = R .

The scalar family has inherited fixed-support continuity. No claim about arbitrary nonconstant contact terms follows from this scalar calibration.

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IX-Free-2@1#eq:parent · line 498
$U_{c} = u_{μ}^{ρ} + cr, N_{c} (f, g, f^{'}) = ⟨ U_{c}, f \otimes g \otimes f^{'} ⟩ .$
unlabeled · line 507
$C_{desc} = R .$

Assumption: One calibrated parent

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