`BookProof.NavierStokesFlow.MomentumPerturbation.diagMax_eState` (k : ℕ) : (diagMax linSymbol ⟨eState k, eState_mem_maxDom k⟩ : L2I ℕ) = ((linSymbol k : ℂ)) • eState k

Proved

BookProof.NavierStokesFlow.MomentumPerturbation.diagMax_eState

by leonardopedro · Oct 11, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesMomentumPerturbation.

BookProof.NavierStokesFlow.MomentumPerturbation.diagMax_eState (k : ℕ) : (diagMax linSymbol ⟨eState k, eState_mem_maxDom k⟩ : L2I ℕ) = ((linSymbol k : ℂ)) • eState k

Formalization note: Lean 4 identifier BookProof.NavierStokesFlow.MomentumPerturbation.diagMax_eState.

Preamble

-- Generated from ChapterNavierStokesMomentumPerturbation.lean — theorem BookProof.NavierStokesFlow.MomentumPerturbation.diagMax_eState
import Mathlib
import Definitions.Def_ChapterNavierStokesMomentumPerturbation
import Definitions.Def_ChapterNavierStokesIkebeKato
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
import Theorems.Thm_BookProof_NavierStokesFlow_MomentumPerturbation_eState_mem_maxDom
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.MomentumPerturbation




open LpNat BookProof.FarisLavine IkebeKato

variable {ι : Type*}

Formal statement

theorem BookProof.NavierStokesFlow.MomentumPerturbation.diagMax_eState (k : ℕ) :
    (diagMax linSymbol ⟨eState k, eState_mem_maxDom k⟩ : L2I ℕ)
      = ((linSymbol k : ℂ)) • eState k := by sorry

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