If like is like like, then is unlike like unlike or different? And if different then Being cannot be one, an argument put by Socrates to Parmenides.
But this isn't how equality is theorised in mathematics.
If you're interested in the notion of how mathematical equality is thought through, then you might find it worth looking at how equality is theorised in category theory; there's a blog entry here, by Baez on his essay on 'concepts of sameness' which is exactly on this.
A box is like itself - identity; and in this sense, here, says nothing; but what say we, if we see a box is not just a box by itself, but is so positioned in space? Were it positioned in space somewhat differently - say I shoved it to the left a little; would it be the same box?
But this just reduces to what went before; for I took it out of space to say so - in a way, in a sense; but not actually so - for I did not; saying so, to illustrate.
So to take a box in relation to space; in terms of its relation, we see that it is different, unequal; and yet the same.
So, somewhat like the Heraclitian thesis of the Unity of Opposites; dismissed by Aristotle - but not - quite - so, for he was dismissing platitudes; which are utterances empty by repetition, or by being carried aloft like a banner over being.
Or, as in the first verse of the Dao:
These Two emerge together
But differ in Nature
The Unity is said to be the Mystery
Or, in the last verse of Borges Ars Poetica:
Tambien es como el rio interminable
Que pasa y queda y es cristal de un mismo
Heraclito inconstante, que es el mismo
Y es otro, como el rio interminable
And so to time, for mathematical operations even when they are on time, never exemplify time: if A is A now, and later is B; if change is a continua, then A and B are the same in a sense; but if A is really different to B, and so properly distinct, when or how can change occur? It's a question of becoming and being: I can say, becoming is, and that being is; but that does not entail their ontological reduction; for Aristotle, at least in one sense, being is a limit of becoming.