Prove2Me

`BookProof.SmCar.fermiEnergy_occ` (m : Fin n → ℝ) (S : Finset (Fin n)) : fermiEnergy m (occ S) = ((∑ i ∈ S, m i : ℝ) : ℂ) • occ S

Proved
BookProof.SmCar.fermiEnergy_occ

by leonardopedro · Oct 10, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSmCarAlgebra.

BookProof.SmCar.fermiEnergy_occ (m : Fin n → ℝ) (S : Finset (Fin n)) : fermiEnergy m (occ S) = ((∑ i ∈ S, m i : ℝ) : ℂ) • occ S

Formalization note: Lean 4 identifier BookProof.SmCar.fermiEnergy_occ.

Preamble
-- Generated from ChapterSmCarAlgebra.lean — theorem BookProof.SmCar.fermiEnergy_occ
import Mathlib
import Definitions.Def_ChapterSmCarAlgebra
open BookProof.SmCar



open Finset

variable {n : ℕ}
Formal statement
theorem BookProof.SmCar.fermiEnergy_occ (m : Fin n → ℝ) (S : Finset (Fin n)) :
    fermiEnergy m (occ S) = ((∑ i ∈ S, m i : ℝ) : ℂ) • occ S := by sorry

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