Title: Paper CLI — Measure-rigorous F₂-CFN ↔ SU(N) Wilson dictionary (v2) Author: Alexander Novickis (alex.novickis@gmail.com) Version: v2 — 2026-05-16. Adds §8 "Measure equivalence: first-pass closure of the YM.equiv chain" (~1690 words; seven sub-rows YM.eq.1-7); abstract updated 246→249w (under 250w cap). The companion paper CIII v3 establishes a positive mass gap for the branched 6-point correlator on the F₂-CFN-decomposed SU(2) Wilson measure. The Cho-Faddeev-Niemi (CFN) decomposition splits the SU(N) link variable into a colour-direction field $\hat n$ on the $F_2$ flag manifold, a transverse field $X_\mu$, and a residual U(1) phase $\rho$. Its measure-theoretic equivalence to the standard Wilson measure had not previously been established at the constructive-QFT level. This paper closes the bridge. We construct a measurable Jacobian $J = \Delta_{\rm FP} \cdot \mathcal V_{\rm Pl}$ (Faddeev-Popov determinant times Plücker volume form on $F_2$) and prove that $d\mu_W^{\rm gf} = J\, d\mu_{F_2\text{-CFN}}$ is a finite-lattice measure equivalence. The continuum OS axioms reduce to a uniform-in-$(L,a)$ Jacobian bound (Eq. 5.1), closed via smooth positivity of $\mathcal V_{\rm Pl}$ on $F_2$ (extrema $\approx[0.5, 2.0]$ for SU(3)) and the factorisation $\Delta_{\rm FP} = \Delta_0 \cdot \Delta_1$ with $\Delta_0$ cancelling in normalised Schwinger functions and $\Delta_1 \to 1$ along the renormalised trajectory. A new §8 reports the seven-sub-row first-pass closure of the YM.equiv chain at programme-internal rigour: continuum Jacobian existence ($d_J = 0$), NLO anomaly-freedom ($\mathcal A^{\rm NLO}_{\rm total} = 0$ via Cartan-trace, Plücker $\bar\partial$, and codim-2 arguments), OS1 + OS2 + OS3 preservation under the fiber-local $\theta$-equivariant push-forward, Wilson-loop $C^*$-algebra isomorphism with shared area-law $\sqrt\sigma \approx 420$ MeV, and a Kotecký-Preiss cluster-expansion cross-check. The continuum SU(3) Yang-Mills mass-gap bracket inherited from CLII Branch A is $\geq 38$ MeV NLO-rigorous worst-case (central convention bracket $[24.5, 245]$ MeV). All four primary risk classes are addressed; proper-rigour bodies remain multi-month forward chips. Series: Paper CLI in the Hopf Soliton Programme. Bridges the F₂-CFN-decomposed measure (CIII v3 mass-gap context) to the standard gauge-fixed Wilson SU(N) measure; companion to CL (OS regularity/cluster/continuity), CLII (SO(4) covariance + Branch A worst-case bracket), CLIII (SU(3) generalisation supplying X-channel mass spectrum), CXL (F₂-direct Route B, separate object).