`BookProof.ChapterFiniteArithmeticPrior.certainExtension_known` {B : ℕ} (A : BoundedArithmetic B) : (certainExtension A).known = A

Proved

BookProof.ChapterFiniteArithmeticPrior.certainExtension_known

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterFiniteArithmeticPrior.

BookProof.ChapterFiniteArithmeticPrior.certainExtension_known {B : ℕ} (A : BoundedArithmetic B) : (certainExtension A).known = A

Formalization note: Lean 4 identifier BookProof.ChapterFiniteArithmeticPrior.certainExtension_known.

Preamble

-- Generated from ChapterFiniteArithmeticPrior.lean — theorem BookProof.ChapterFiniteArithmeticPrior.certainExtension_known
import Mathlib
import Definitions.Def_ChapterFiniteArithmeticPrior
open BookProof.ChapterFiniteArithmeticPrior

Formal statement

theorem BookProof.ChapterFiniteArithmeticPrior.certainExtension_known {B : ℕ} (A : BoundedArithmetic B) :
    (certainExtension A).known = A := by sorry

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