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GQ2.Roe.Devissage.TracedRows

Heisenberg naturality for the r_R pairing (Lemma 5.6), and the traced-row re-export #

The dévissage χ-layer needs two traced ingredients over the Roe complex:

theorem GQ2.FoxH.lemma_5_6_R {C : Type u_1} [Group C] {A : Type u_2} [AddCommGroup A] [DistribMulAction C A] {A' : Type u_3} [AddCommGroup A'] [DistribMulAction C A'] [Finite A] [Finite A'] [Finite C] (f : A →+ A') (hf : ∀ (g : C) (a : A), f (g a) = g f a) (t : Marking C) (x : Fin 4A) (y' : Fin 4ElemDual A') :
mixedB_R t (fun (i : Fin 4) => f (x i)) y' = mixedB_R t x fun (i : Fin 4) => AddMonoidHom.comp (y' i) f

Lemma 5.6 (strict coefficient naturality) for the Roe pairing (R-clone of lemma_5_6, GQ2/FoxHeisenberg/Traced.lean): B^R_{A'}(f∗x, y') = B^R_A(x, f^∨ y'). Verbatim port — only the final simp swaps mixedB/Marking.map_wildValue for mixedB_R/Marking.map_wildValueR.