`BookProof.NavierStokesFlow.AffineFiber.commForm_add` (H₁ H₂ N : D →ₗ[ℂ] F) (x : D) : commForm (H₁ + H₂) N x = commForm H₁ N x + commForm H₂ N x

Proved

BookProof.NavierStokesFlow.AffineFiber.commForm_add

by leonardopedro · Oct 9, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesAffineFiberEsa.

BookProof.NavierStokesFlow.AffineFiber.commForm_add (H₁ H₂ N : D →ₗ[ℂ] F) (x : D) : commForm (H₁ + H₂) N x = commForm H₁ N x + commForm H₂ N x

Formalization note: Lean 4 identifier BookProof.NavierStokesFlow.AffineFiber.commForm_add.

Preamble

-- Generated from ChapterNavierStokesAffineFiberEsa.lean — theorem BookProof.NavierStokesFlow.AffineFiber.commForm_add
import Mathlib
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
import Definitions.Def_ChapterFarisLavineCore
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.AffineFiber


open scoped ENNReal



open LpNat BookProof.FarisLavine IkebeKato HermiteFarisLavine ShiftHamiltonian

variable {ι : Type*}

variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F] {D : Submodule ℂ F}

Formal statement

theorem BookProof.NavierStokesFlow.AffineFiber.commForm_add (H₁ H₂ N : D →ₗ[ℂ] F) (x : D) :
    commForm (H₁ + H₂) N x = commForm H₁ N x + commForm H₂ N x := by sorry

View graph