`BookProof.SmCar.smul_apply_fock` (c : ℂ) (x : FermiFock n) (S : Finset (Fin n)) : (c • x) S = c * x S

Proved

BookProof.SmCar.smul_apply_fock

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSmCarAlgebra.

BookProof.SmCar.smul_apply_fock (c : ℂ) (x : FermiFock n) (S : Finset (Fin n)) : (c • x) S = c * x S

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

Preamble

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



open Finset

variable {n : ℕ}

Formal statement

theorem BookProof.SmCar.smul_apply_fock (c : ℂ) (x : FermiFock n) (S : Finset (Fin n)) :
    (c • x) S = c * x S := by sorry

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