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`BookProof.ChapterF3.disjoint_support_mul` {α : Type*} (f g : α → ℂ) (h : Disjoint (Function.support f) (Function.support g)) : f * g = 0

Proved
BookProof.ChapterF3.disjoint_support_mul

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterF3.

BookProof.ChapterF3.disjoint_support_mul {α : Type*} (f g : α → ℂ) (h : Disjoint (Function.support f) (Function.support g)) : f * g = 0

Formalization note: Lean 4 identifier BookProof.ChapterF3.disjoint_support_mul.

Preamble
-- Generated from ChapterF3.lean — theorem BookProof.ChapterF3.disjoint_support_mul
import Mathlib
import Definitions.Def_ChapterF3
open BookProof.ChapterF3


open scoped BigOperators
open Polynomial


noncomputable section
Formal statement
theorem BookProof.ChapterF3.disjoint_support_mul {α : Type*} (f g : α → ℂ)
    (h : Disjoint (Function.support f) (Function.support g)) : f * g = 0 := by sorry

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