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`BookProof.TensorPerm.purePow_ne_zero` {n : ℕ} {f : Fin n → E.carrier} (hf : ∀ i, f i ≠ 0) : purePow E n f ≠ 0

Proved
BookProof.TensorPerm.purePow_ne_zero

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterTensorPermutation.

BookProof.TensorPerm.purePow_ne_zero {n : ℕ} {f : Fin n → E.carrier} (hf : ∀ i, f i ≠ 0) : purePow E n f ≠ 0

Formalization note: Lean 4 identifier BookProof.TensorPerm.purePow_ne_zero.

Preamble
-- Generated from ChapterTensorPermutation.lean — theorem BookProof.TensorPerm.purePow_ne_zero
import Definitions.Def_ChapterGroupAverageEsa
import Mathlib
import Definitions.Def_ChapterTensorPermutation
import Definitions.Def_ChapterTensorGraphCore
open BookProof.TensorCore
open BookProof.TensorPerm



open scoped TensorProduct
open BookProof.TensorCore BookProof.GroupAverage

noncomputable section

variable (E : BookProof.TensorCore.IPSpace)
Formal statement
theorem BookProof.TensorPerm.purePow_ne_zero {n : ℕ} {f : Fin n → E.carrier} (hf : ∀ i, f i ≠ 0) :
    purePow E n f ≠ 0 := by sorry

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