(e : ℕ → ℝ) (mu : ℝ) (u : FockAlg) : dGamma (diagCol fun k => e k + mu) u = dGamma (diagCol e) u + ((mu : ℝ) : ℂ) • dGamma numberCol u
ProvedBookProof.FockOneParticleGap.dGamma_diagCol_shifttimepiece
Lean 4 theorem BookProof.FockOneParticleGap.dGamma_diagCol_shift (module BookProof.FockOneParticleGap), source chapter BookProof/ChapterFockOneParticleGap.lean.
Preamble
-- Generated from ChapterFockOneParticleGap.lean — theorem BookProof.FockOneParticleGap.dGamma_diagCol_shift import Mathlib import Definitions.Def_ChapterFockOneParticleGap open BookProof.FockOneParticleGap noncomputable section open BookProof.FockSecondQuantization BookProof.FarisLavine BookProof.NavierStokesFlow open Filter Topology
Formal statement
theorem BookProof.FockOneParticleGap.dGamma_diagCol_shift (e : ℕ → ℝ) (mu : ℝ) (u : FockAlg) :
dGamma (diagCol fun k => e k + mu) u
= dGamma (diagCol e) u + ((mu : ℝ) : ℂ) • dGamma numberCol u := by sorrySource