`BookProof.NavierStokesFlow.LagrangianEsa.latticeLag_hFull_ne_zero` : (latticeLagData (fun _ => zeroField) zeroField (fun _ => 0) (le_refl (0 : ℝ))).hFull ≠ 0

Proved

BookProof.NavierStokesFlow.LagrangianEsa.latticeLag_hFull_ne_zero

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesLagrangianEsa.

BookProof.NavierStokesFlow.LagrangianEsa.latticeLag_hFull_ne_zero : (latticeLagData (fun _ => zeroField) zeroField (fun _ => 0) (le_refl (0 : ℝ))).hFull ≠ 0

Formalization note: Lean 4 identifier BookProof.NavierStokesFlow.LagrangianEsa.latticeLag_hFull_ne_zero.

Preamble

-- Generated from ChapterNavierStokesLagrangianEsa.lean — theorem BookProof.NavierStokesFlow.LagrangianEsa.latticeLag_hFull_ne_zero
import Mathlib
import Definitions.Def_ChapterNavierStokesLagrangianEsa
import Definitions.Def_ChapterContinuityUnitary
import Definitions.Def_ChapterContinuityUnitaryInfinite
import Definitions.Def_ChapterNavierStokesFlow
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
open BookProof.ChapterContinuityUnitary
open BookProof.ChapterContinuityUnitaryInfinite
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.LagrangianEsa




open FullEsa

variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F]
variable (L : LagrangianFullData F)
variable {F G : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F]
  [NormedAddCommGroup G] [InnerProductSpace ℂ G]

Formal statement

theorem BookProof.NavierStokesFlow.LagrangianEsa.latticeLag_hFull_ne_zero :
    (latticeLagData (fun _ => zeroField) zeroField (fun _ => 0) (le_refl (0 : ℝ))).hFull ≠ 0 := by sorry

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