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`BookProof.ChapterFreeFieldBornFiberTwo.bornMapSphere_not_injective` (hn : 0 < n) : ¬ Function.Injective (bornMapSphere n)

Proved
BookProof.ChapterFreeFieldBornFiberTwo.bornMapSphere_not_injective

by leonardopedro · Oct 16, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterFreeFieldBornFiberTwo.

BookProof.ChapterFreeFieldBornFiberTwo.bornMapSphere_not_injective (hn : 0 < n) : ¬ Function.Injective (bornMapSphere n)

Formalization note: Lean 4 identifier BookProof.ChapterFreeFieldBornFiberTwo.bornMapSphere_not_injective.

Preamble
-- Generated from ChapterFreeFieldBornFiberTwo.lean — theorem BookProof.ChapterFreeFieldBornFiberTwo.bornMapSphere_not_injective
import Definitions.Def_ChapterFreeFieldBorn
import Definitions.Def_ChapterFreeFieldBornSurj
import Definitions.Def_ChapterFreeFieldBornCont
import Definitions.Def_ChapterFreeFieldBornQuotient
import Definitions.Def_ChapterFreeFieldBornFiberCardGeneral
import Mathlib
import Definitions.Def_ChapterFreeFieldBornFiberTwo
open BookProof.ChapterFreeFieldBornFiberTwo


open MeasureTheory
open BookProof.ChapterFreeFieldBorn BookProof.ChapterFreeFieldBornSurj
open BookProof.ChapterFreeFieldBornCont BookProof.ChapterFreeFieldBornQuotient
open BookProof.ChapterFreeFieldBornFiberCardGeneral


variable {n : ℕ}
Formal statement
theorem BookProof.ChapterFreeFieldBornFiberTwo.bornMapSphere_not_injective (hn : 0 < n) :
    ¬ Function.Injective (bornMapSphere n) := by sorry

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