{x y : F} (h : 0 ≤ (inner ℂ x y : ℂ).re) : ‖x‖ ≤ ‖x + y‖
ProvedBookProof.NavierStokesFlow.FarisLavineLift.norm_le_norm_add_of_re_inner_nonnegnavier-stokesoperator-algebrastimepiece
Lean 4 theorem BookProof.NavierStokesFlow.FarisLavineLift.norm_le_norm_add_of_re_inner_nonneg (module BookProof.NavierStokesFlow), source chapter BookProof/ChapterNavierStokesFlow.lean.
Preamble
-- Generated from ChapterNavierStokesFarisLavineLift.lean — theorem BookProof.NavierStokesFlow.FarisLavineLift.norm_le_norm_add_of_re_inner_nonneg
import Mathlib
import Definitions.Def_ChapterNavierStokesFarisLavineLift
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.FarisLavineLift
variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F]Formal statement
theorem BookProof.NavierStokesFlow.FarisLavineLift.norm_le_norm_add_of_re_inner_nonneg {x y : F} (h : 0 ≤ (inner ℂ x y : ℂ).re) :
‖x‖ ≤ ‖x + y‖ := by sorrySource