It is, in technical language, wholly the body of Jesus Christ, but it cannot be said to be the whole body of Jesus Christ.
The union of two things without change cannot enable us to say that one becomes the other.
Thus the soul is united to the body, the fire to the fuel, without change.
But change is necessary to make the form of the one become the form of the other.
Thus the union of the Word to man.
Because my body without my soul would not make the body of a man, then my soul united to any matter whatsoever would make my body.
It distinguishes for me the necessary condition with a sufficient condition, the union is necessary, but not sufficient.
The left arm is not the right.
Impenetrability is a property of matter.
Identity of number in regard to the same time requires the identity of matter.