In "Brave To Be A King," Manse Everard is in a timeline where the Cyrus who should have become King of Persia was murdered in infancy and where Keith Denison of the Time Patrol has been obliged to play the role of the adult Cyrus. Everard intends to "delete" this timeline and to replace it with a more acceptable one in which the infant Cyrus was not murdered so that neither Denison nor anyone else is required to impersonate the adult Cyrus.
Before making this change, Everard speaks as if he is in a changeable timeline, i.e., in a timeline which clearly exists because he is in it yet can be changed into or replaced by an alternative. He is in this timeline but will replace it. The tensed verbs, "is" and "will replace" refer not to different moments within a single timeline but to a temporal relationship between two timelines. However, after making the change, Everard speaks as if he is in not a changeable but a discontinuous timeline. He speaks as if Denison's career as Cyrus has simply never occurred in any sense whatsoever. It is true that, after making the change, he and Denison are in a timeline where it is true to say that, within that timeline, Denison has never been Cyrus. But Denison's impersonation of Cyrus was in the previous timeline.
If there were only a single, discontinuous timeline, then it would be impossible to travel into the past and to change the timeline. In such a timeline, causality is violated not by time travellers who have travelled into the past but only by those who have appeared from nowhere and nowhen with the mistaken memory of having travelled into the past. In such a timeline, it would be unnecessary to fear that anyone who has travelled into the past has changed it.