My understanding about consubstantiation is that both Jesus and the accidents remain.
Well, yeah, but that is also true for transubstantiation.
The question is whether the
substance remains. Everybody agrees that the accidents remain, and that Jesus is somehow incorporated. But does the
substance remain (and Jesus is somehow attached to it), or is the substance itself transformed, such that ONLY the accidents (and, of course, Jesus) remain?
Catholics believe in transubstantiation, which literally means a transformation of substance. After the Consecration, there is nothing BUT Jesus (who
becomes the substance) and the accidents (the physical attributes of bread and wine). The substance of bread and wine no longer remain.
Luther taught consubstantiation. According to Luther, after the Consecration, there are the original substance, the original accidents, and Jesus, who is somehow attached. Neither the substance nor the accidents change in any way, but Jesus is added to them both. This is why his doctrine is called “consubstantiation,” which literally means “the substance plus something else.” Nothing actually changes, but something (Jesus) is added.
If Catholics are correct, Jesus ought to have said “This IS my Body.” Which is what he said.
If Luther was correct, Jesus ought to have said, “HERE is my Body.” Which is NOT what he said.