`BookProof.FockDegreesOfFreedom.card_ghost_eq_two_mul` (k : ℕ) : Fintype.card (Fin (k + 1) → ZMod 2) = 2 * Fintype.card (Fin k → ZMod 2)

Proved

BookProof.FockDegreesOfFreedom.card_ghost_eq_two_mul

by leonardopedro · Oct 8, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterFockDegreesOfFreedom.

BookProof.FockDegreesOfFreedom.card_ghost_eq_two_mul (k : ℕ) : Fintype.card (Fin (k + 1) → ZMod 2) = 2 * Fintype.card (Fin k → ZMod 2)

Formalization note: Lean 4 identifier BookProof.FockDegreesOfFreedom.card_ghost_eq_two_mul.

Preamble

-- Generated from ChapterFockDegreesOfFreedom.lean — theorem BookProof.FockDegreesOfFreedom.card_ghost_eq_two_mul
import Mathlib
import Definitions.Def_ChapterFockDegreesOfFreedom
open BookProof.FockDegreesOfFreedom



open Fintype

Formal statement

theorem BookProof.FockDegreesOfFreedom.card_ghost_eq_two_mul (k : ℕ) :
    Fintype.card (Fin (k + 1) → ZMod 2) = 2 * Fintype.card (Fin k → ZMod 2) := by sorry

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