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Freiman lower construction: fixed union connected

Proved
Freiman.lower_fixed_union_connected

by tp · Sep 9, 2026 · Mathlib 0df444a (Lean v4.33.1)

freimanlower-construction

The actual closed cover intervals of the 23 roots have a connected union, including the added I2/{2,1} contact.

Preamble
import Definitions.Def_Freiman_lowerCertificates
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.Push

open Freiman
Formal statement
theorem Freiman.lower_fixed_union_connected : IsPreconnected {t : ℝ | ∃ p ∈ lowerFixedRoots, t ∈ lowerCover p} := by
  sorry
Source
Freiman's Hall ray: Proof report and corrected English text (8 September 2026), parts/lower_core.tex, the 23 strict consecutive contacts

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