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theorem proved term proof

regrouping_forces_gate

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formal statement (Lean)

 145theorem regrouping_forces_gate
 146    (J : ℝ → ℝ) (R : RegroupingInvariance J) :
 147    FactorizationAssociativityGate R.combiner :=

proof body

Term-mode proof.

 148  { symmetric := R.symmetric
 149    rightAffine := R.right_affine
 150    zeroBoundary := R.zero_boundary
 151    unitDiagonal := R.unit_diagonal }
 152
 153/-- **Bridge B2 (unconditional)**: from ledger substitutivity and
 154regrouping, the RCL combiner `P(u,v) = 2uv + 2u + 2v` is forced. -/

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