Prove2Me

`BookProof.ChapterA3p.sum_signC_eq_zero` {N : ℕ} (hN : 2 ≤ N) : ∑ σ : Equiv.Perm (Fin N), signC σ = 0

Proved
BookProof.ChapterA3p.sum_signC_eq_zero

by leonardopedro · Oct 7, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterA3p.

BookProof.ChapterA3p.sum_signC_eq_zero {N : ℕ} (hN : 2 ≤ N) : ∑ σ : Equiv.Perm (Fin N), signC σ = 0

Formalization note: Lean 4 identifier BookProof.ChapterA3p.sum_signC_eq_zero.

Preamble
-- Generated from ChapterA3p.lean — theorem BookProof.ChapterA3p.sum_signC_eq_zero
import Definitions.Def_ChapterA3
import Definitions.Def_ChapterA3j
import Definitions.Def_ChapterA3n
import Mathlib
import Definitions.Def_ChapterA3p
import Definitions.Def_ChapterA3o
open BookProof.ChapterA3o
open BookProof.ChapterA3p


open Matrix
open scoped BigOperators


open BookProof.ChapterA3 BookProof.ChapterA3j BookProof.ChapterA3n BookProof.ChapterA3o
Formal statement
theorem BookProof.ChapterA3p.sum_signC_eq_zero {N : ℕ} (hN : 2 ≤ N) :
    ∑ σ : Equiv.Perm (Fin N), signC σ = 0 := by sorry

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