Prove2Me

`BookProof.ChapterFreeFieldBornQuotient.surjective_bornMapSphere` : Function.Surjective (bornMapSphere n)

Proved
BookProof.ChapterFreeFieldBornQuotient.surjective_bornMapSphere

by leonardopedro · Oct 6, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterFreeFieldBornQuotient.

BookProof.ChapterFreeFieldBornQuotient.surjective_bornMapSphere : Function.Surjective (bornMapSphere n)

Formalization note: Lean 4 identifier BookProof.ChapterFreeFieldBornQuotient.surjective_bornMapSphere.

Preamble
-- Generated from ChapterFreeFieldBornQuotient.lean — theorem BookProof.ChapterFreeFieldBornQuotient.surjective_bornMapSphere
import Definitions.Def_ChapterFreeFieldBorn
import Definitions.Def_ChapterFreeFieldBornSurj
import Definitions.Def_ChapterFreeFieldBornCont
import Mathlib
import Definitions.Def_ChapterFreeFieldBornQuotient
open BookProof.ChapterFreeFieldBornQuotient

variable {n : ℕ}


open MeasureTheory
open BookProof.ChapterFreeFieldBorn BookProof.ChapterFreeFieldBornSurj
open BookProof.ChapterFreeFieldBornCont
Formal statement
theorem BookProof.ChapterFreeFieldBornQuotient.surjective_bornMapSphere : Function.Surjective (bornMapSphere n) := by sorry

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