Catechism of the Catholic Church
1376 The Council of Trent summarizes the Catholic faith by declaring: "Because Christ our Redeemer said that it was truly his body that he was offering under the species of bread, it has always been the conviction of the Church of God, and this holy Council now declares again, that by the consecration of the bread and wine there takes place a change of the whole substance of the bread into the substance of the body of Christ our Lord and of the whole substance of the wine into the substance of his blood. This change the holy Catholic Church has fittingly and properly called transubstantiation."
Premise 1: Jesus took bread and called it his body, and he took wine and called it his blood. These he commanded his apostles to eat and drink, and to keep the meal as a memorial.
Premise 2: To define what some specific thing is means to define its essence, and essence consists of substance and accidents.
Premise 3: What Jesus called body and blood did not have the accidents of body and blood.
St. Thomas Aquinas argues we can know this is so by three means (Summa III, Q. 75, Art. 5):
Conclusion: Jesus instituted a meal to be repeated, by which the substance of bread and wine become the substance of his body and blood.
Objection:
Reply: