The Lean 4 theorem `ritzInf_antitone` in the `ChapterHermiteGalerkinFriedrichs` chapter of the timepiece formalization

-- Generated from ChapterHermiteGalerkinFriedrichs.lean — theorem BookProof.HermiteGalerkin.ritzInf_antitone
import Mathlib
import Definitions.Def_ChapterHermiteGalerkinFriedrichs
open BookProof.HermiteGalerkin












open BookProof.FarisLavine BookProof.YangMillsFriedrichs BookProof.YangMillsFriedrichsLimit
open Filter Topology



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






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


















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



variable {D : Submodule ℂ F}

theorem BookProof.HermiteGalerkin.ritzInf_antitone (H : D →ₗ[ℂ] F) (hpos : ∀ x : D, 0 ≤ quadForm H x)
    {V W : Submodule ℂ F} (hVW : V ≤ W) (hV : (ritzSet H V).Nonempty) :
    ritzInf H W ≤ ritzInf H V := by sorry