Prove2Me

`BookProof.ChapterFreeFieldBornCont.isCompact_stdSimplex_of_born` : IsCompact (stdSimplex ℝ (Fin n))

Proved
BookProof.ChapterFreeFieldBornCont.isCompact_stdSimplex_of_born

by leonardopedro · Oct 5, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterFreeFieldBornCont.

BookProof.ChapterFreeFieldBornCont.isCompact_stdSimplex_of_born : IsCompact (stdSimplex ℝ (Fin n))

Formalization note: Lean 4 identifier BookProof.ChapterFreeFieldBornCont.isCompact_stdSimplex_of_born.

Preamble
-- Generated from ChapterFreeFieldBornCont.lean — theorem BookProof.ChapterFreeFieldBornCont.isCompact_stdSimplex_of_born
import Definitions.Def_ChapterFreeFieldBorn
import Definitions.Def_ChapterFreeFieldBornSurj
import Mathlib
import Definitions.Def_ChapterFreeFieldBornCont
open BookProof.ChapterFreeFieldBornCont

variable {n : ℕ}


open MeasureTheory
open BookProof.ChapterFreeFieldBorn BookProof.ChapterFreeFieldBornSurj
Formal statement
theorem BookProof.ChapterFreeFieldBornCont.isCompact_stdSimplex_of_born :
    IsCompact (stdSimplex ℝ (Fin n)) := by sorry

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