(x : maxDom sym) (β : ι) : ((hopH S x : L2I ι) : ι → ℂ) β = S.hFun ((x : L2I ι) : ι → ℂ) β

-- Generated from ChapterNavierStokesSignedShift.lean — theorem BookProof.NavierStokesFlow.SignedShift.SignedHop.hopH_coe
import Mathlib
import Definitions.Def_ChapterNavierStokesSignedShift
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.SignedShift
open BookProof.NavierStokesFlow.LpNat BookProof.FarisLavine BookProof.NavierStokesFlow.IkebeKato BookProof.NavierStokesFlow.ShiftHamiltonian BookProof.NavierStokesFlow.AffineFiber
open BookProof.NavierStokesFlow.SignedShift.SignedHop









open scoped ENNReal




variable {ι : Type*}



variable {sym : ι → ℝ} (S : SignedHop ι sym)

theorem BookProof.NavierStokesFlow.SignedShift.SignedHop.hopH_coe (x : maxDom sym) (β : ι) :
    ((hopH S x : L2I ι) : ι → ℂ) β = S.hFun ((x : L2I ι) : ι → ℂ) β := by sorry