Yes. Some relevant
quotations appear below...
"Yes, the same
Jesus Christ is just as much in a particle of a host as in a whole host."
(Catechism of St. Pius X)
"Jesus Christ is
present whole and entire in the smallest portion of the Holy Eucharist under the
form of either bread or wine; for His body in the Eucharist is in a glorified
state, and as it partakes of the character of a spiritual substance, it requires
no definite size or shape." (Baltimore Catechism)
"Nor should it be
forgotten that Christ, whole and entire, is contained not only under either
species, but also in each particle of either species. Each, says St. Augustine,
receives Christ the Lord, and He is entire in each portion. He is not diminished
by being given to many, but gives Himself whole and entire to each." (Catechism
of the Council of Trent)
is food, and His Blood is drink; yet is He whole under each Species. He is not
cut by the receiver, nor broken, nor divided: He is taken whole. He is received
by one, He is received by a thousand; the one receives as much as all; nor is He
consumed, who is received. And when the Sacrament is broken, waver not, but
remember that there is as much under each fragment as is hidden under the whole.
Of the substance there is no division; it is but the sign that is broken; and He
who is the Signified, is not thereby diminished, either as to state or stature."
"[O]ur Lord is
not in the Sacrament as in a place. Place regards things only inasmuch as they
have magnitude. Now we do not say that Christ is in the Sacrament inasmuch as He
is great or small, terms which belong to quantity, but inasmuch as He is a
substance. The substance of the bread is changed into the substance of Christ,
not into magnitude or quantity; and substance, it will be acknowledged by all,
is contained in a small as well as in a large space. The substance of air, for
instance, and its entire nature must be present under a small as well as a large
quantity, and likewise the entire nature of water must be present no less in a
glass than in a river. Since, then, the body of our Lord succeeds to the
substance of the bread, we must confess it to be in the Sacrament after the same
manner as the substance of the bread was before consecration; whether the
substance of the bread was present in greater or less quantity is a matter of
entire indifference." (Catechism of the Council of Trent)
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