Impossibility of distributed algorithms for TP under limited communication constraints

Let $G(0),G(1),\ldots$ be a sequence of communication graphs satisfying the communication constraints specified in Lemma 2, Theorem 2, or Theorem 3, and let TP denote the task defined in Definition 4. The sequence after $G(n-1)$ is otherwise unrestricted.

Impossibility claim. Given these communication constraints, there exists no distributed algorithm that can solve TP without further conditions on the sequence of communication graphs after $G(n-1)$.

This claim expresses an impossibility result for information dissemination under the stated time-varying digraph constraints. The supplied text does not provide a resolution status beyond the assertion itself, so its status is left open.