Mind-stream is Conciousness-stream

Mind-stream is epitome of non-self because consciousness is empty of a permanent self.

Mind-stream also is consciousness-stream.

Basically, Buddhist practice leads to consciousness of a practitioner to return to consciousness continuum. think of continuum as transit hub to Buddha worlds such as Pure Land of Bliss which is where Amida Buddha resides.

Practice consists of meditation, chanting of the Name of Amida, and chanting of sutras related to Amida Buddha.

On follower's parinirvana (physical death) follower's consciousness returns to continuum and goes to Pure Land.

This is called rebirth in the Pure Land.

True emptiness and wonderful existence (the doctrine of the Middle Way)

Buddhist sutras speak of true emptiness and wonderful existence, the doctrine of the Middle Way. They avoid the extreme doctrines of existence and non-existence, being and non-being. They begin with "Thus I have heard" to distinguish them from non-Buddhist texts. - Shurangama Sutra, Testimony of Faith

Before the Buddha passed onto Paranirvana, Ananda was told by him to preface his lectures based on what the Buddha said with "Thus I have heard."

In this way, they are distinguished from non-Buddhist texts which discuss existence and non-existence.