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prefixEval append

Proved
Freiman.prefixEval_append

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

continued-fractionshall-raynumber-theory

The prefix map of a concatenation of two finite words is the composition of their prefix maps, for every real tail parameter.

Preamble
import Definitions.Def_Freiman_prefixEval
Formal statement
namespace Freiman

theorem prefixEval_append (w v : List ℕ+) (x : ℝ) :
    prefixEval (w ++ v) x = prefixEval w (prefixEval v x) := by
  sorry

end Freiman
Source
Freiman's Hall ray: Proof report and corrected English text, 8 September 2026, §1.1, printed p.7, definition of the finite prefix map T_w and its composition order.

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