`denseCore_proper` : Set.range ofCore ≠ (Set.univ : Set Ell2)

Proved

denseCore_proper

by leonardopedro · Oct 10, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterPaFreeCompletion.

denseCore_proper : Set.range ofCore ≠ (Set.univ : Set Ell2)

Formalization note: Lean 4 identifier denseCore_proper.

Preamble

-- Generated from ChapterPaFreeCompletion.lean — theorem denseCore_proper
import Mathlib
import Definitions.Def_ChapterPaFreeCompletion
import Definitions.Def_ChapterRieszFischer
import Definitions.Def_ChapterA4
open BookProof.ChapterRieszFischer


open Set
open Filter
open BookProof.ChapterRieszFischer

Formal statement

theorem denseCore_proper : Set.range ofCore ≠ (Set.univ : Set Ell2) := by sorry

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