It makes perfect sense, and would make perfect sense either way, so you can keep your superfluous F. It's your grade.
In the literature it means if and only if. It's not superfluous.
Again, what He said:
"...this is my body..."
- What He did not say: "...bread is my body..."
- What He did not say: "...this bread is my body..."
- What He did not say: "...this broken bread is my body..."
- What He did not say: "...this is bread..."
Nah. What He said was
$$ 1Co 11:23
For I have received of the Lord that which also I delivered unto you, That the Lord Jesus the [same] night in which he was betrayed took bread:
$$ 1Co 11:24
And when he had given thanks, he brake [it], and said, Take, eat: this is my body, which is broken for you: this do in remembrance of me.
$$ 1Co 11:25
After the same manner also [he took] the cup, when he had supped, saying, This cup is the new testament in my blood: this do ye, as oft as ye drink [it], in remembrance of me.
What He said was
$$ 1Co 11:24
And when he had given thanks, he brake BREAD, and said, Take, eat: this BREAD is my body, which is broken for you: this do in remembrance of me.
$$ 1Co 11:25
After the same manner also [he took] the cup, when he had supped, saying, This CUP is the new testament in my blood: this do ye, as oft as ye drink [it], in remembrance of me.
Your admission that...
...at The Last Supper, is you conceding that the breaking of the bread was not/could not be the breaking of His body, and thus, that the bread was not/could not be His body.
You wish. Instead you just demonstrate your limited theology of the cross. At or from the foundation of the World, which is recorded for us, the foundation of the World, in Genesis, IS the New Covenant. The cross is at the center of the New Covenant, the cross is the sacrificial system of the New Covenant, the sacrificial system of the Old Covenant, the Law of Moses, and all prior sacrificial systems going back to Cain and Abel, all foreshadow the sacrificial system of the New Covenant, which is embodied in the cross.
From the foundation of the World. Or at. But at any rate the Scripture says the New Covenant in some sense ontologically existed, metaphysically, in Genesis chapter one and two. It was already there, it just hadn't obtained yet in the physical, material, visible World yet, but it existed, invisibly.
And so while this eternal New Covenant hadn't yet collided with our temporal region of reality, the material Universe, that the diabolic hate with unending passion, at the Last Supper, it still existed from the foundation of the World already, and its collision with physical reality was going to occur literally later that same waking period, as the Last Supper.
We don't know very much about how eternal things and temporal reality interact. One thing that generally seems unsurprising is that any eternal thing that interacts with the Universe ought to appear to be unending and ceaseless. But eternality, being unlimited by time (in contrast to temporality), allows for two things. One is prophecy, in advance of a collision and combining together of eternality and temporality, and the other is a reviewing of that prophecy, in order to prove that this eternal thing indeed did already exist, even before it became visible, and emerged, and obtained in the physical World. That prophecy is proof not just of an accurate prediction, but of a truth which existed even before the prophecy obtained.
Prophecy is not just a prediction, it is, in the case of the New Covenant, proof that the New Covenant already existed, before it collided with the World. When it did collide, was the cross. Now it has combined together with the World, ever since the cross. It can't be uncombined. The cake's baked, you can't extract any of its ingredients anymore, it's even harder than putting toothpaste back into the tube, or passing a camel through the eye of a needle.
All's to say, is that the Last Supper was indeed a genuine Eucharist. The host did change into the body, blood, soul and divinity of Our Lord that night, because the Eucharist pierces the veil between eternality and temporality, and so it did that at the Last Supper too, and therefore also in Genesis with Melchizedek. Our Lord is a Priest forever in the order of Melchizedek. Melchizedek celebrated the Eucharist, he broke bread, he ministered with bread and wine.
The Eucharist is said to re-present Our Lord's sacrifice on the cross. But at the Last Supper, it pre-presented it. It "recalled" something that hadn't happened yet visibly, although eternally the New Covenant somehow, ontologically existed going back to the foundation of the visible World.
Your theology of the cross is limited.