Up to the time of and Until such time as

Until such time as and up to the time of are semantically related. In some cases you can use "Until such time as" instead the phrase "Up to the time of" as a conjunction or a preposition.

Up to the time of and until such time as are semantically related. You can use "Up to the time of" instead the phrase "Until such time as" as a conjunction or a preposition.