`BookProof.SmCar.sum_apply_fock` (f : Fin n → FermiFock n) (S : Finset (Fin n)) : (∑ i : Fin n, f i) S = ∑ i : Fin n, (f i) S

Proved

BookProof.SmCar.sum_apply_fock

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSmCarAlgebra.

BookProof.SmCar.sum_apply_fock (f : Fin n → FermiFock n) (S : Finset (Fin n)) : (∑ i : Fin n, f i) S = ∑ i : Fin n, (f i) S

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

Preamble

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



open Finset

variable {n : ℕ}

Formal statement

theorem BookProof.SmCar.sum_apply_fock (f : Fin n → FermiFock n) (S : Finset (Fin n)) :
    (∑ i : Fin n, f i) S = ∑ i : Fin n, (f i) S := by sorry

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