{e : ℕ → ℝ} (he : ∀ k, 0 ≤ e k) : sInf (nonvacuumEnergies e) = ⨅ k, e k
ProvedBookProof.FockOneParticleGap.sInf_nonvacuumEnergiestimepiece
Lean 4 theorem BookProof.FockOneParticleGap.sInf_nonvacuumEnergies (module BookProof.FockOneParticleGap), source chapter BookProof/ChapterFockOneParticleGap.lean.
Preamble
-- Generated from ChapterFockOneParticleGap.lean — theorem BookProof.FockOneParticleGap.sInf_nonvacuumEnergies 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.sInf_nonvacuumEnergies {e : ℕ → ℝ} (he : ∀ k, 0 ≤ e k) :
sInf (nonvacuumEnergies e) = ⨅ k, e k := by sorrySource