Namo Buddhaya!
There are a few misconceptions prompting this question.
One should keep in mind that there are two elements, namely the constructed element [sankhatadhatu] and the unconstructed element [asankhatadhatu].
There are these three characteristics that define the constructed;
- An arising is discerned.
- A disappearence is discerned.
- An alteration while it persists is discerned.
There are these three characteristics that define the unconstructed;
- No arising is discerned.
- No disappearance is discerned.
- No alteration while it persists is discerned.
When we speak about a cessation of constructed things occuring in dependence on other constructed things, then we are describing a change of the constructed as it persists.
Example 1
On a Monday the man extinguished a log-fire by pouring water on it.
Example 2
On a Tuesday the man extinguished a log-fire by pouring water on it.
In both of these cases a fire is extinguished in dependence on water but it is not the same fire being extinguished and it is not extinguished by the same water.
We say that the fire1 was extinguished by water1 and the fire2 was extinguished by water2.
Both of these examples are describing a change of the constructed as it persists, saying: ‘The constructed was thus and became otherwise’, and we are using the word ‘cessation’ to describe a change in what persists.
Suppose we were to describe an extinguishment of a fire in a dream. In describing that cessation we would only be describing our dream’s changing as it persisted.
Now if we were to describe a cessation of a dream in dependence on a truth & reality not included in a dream, we could be describing a cessation of a dream in dependence on a truth & reality of being awake.
If there was no truth & reality of being awake then a cessation of dreaming wouldn’t be discerned in dependence on being awake.
Keep in mind that both of these realities, that of a dream and that of being awake, are constructed. Therefore here we are still essentially describing a change in the constructed as it persists such that this or that dream ceases in dependence on this or that awakening.
Example 1
On a Monday the man’s dream ceased in dependence on his awakening.
Example 2
On a Tuesday the man’s dream ceased in dependence on his awakening.
Just as it was with the example of a fire being extinguished. The dreams are different and the awakenings are different.
We would say that dream1 ceased in dependence on awakening1, and dream2 ceased in dependence on awakening2.
This is how one talks about the change in the constructed, changing as it persists, where having been thus it becomes otherwise.
Now if we talk about an altogether cessation & disappearance of the constructed, this is kind of cessation discerned in dependence on the unconstructed element.
If there was no unconstructed then an escape from the constructed would not be discerned.
This is categorically different to talking about the constructed changing as it persists where that which ceases & that in dependence on what cessation occurs is never the same (fire1, water1, fire2, water2, etc).
Example 1
A man attains cessation of perception & feeling.
Example 2
A woman attains cessation of perception & feeling.
Now here, in both cases, that which ceases is different as it is the constructed, the man’s percipience is one thing and the woman’s percipience is another, but here both of these cessations occur in dependence on exactly one and the same unconstructed truth & reality which has these three characteristics;
- No arising is discerned.
- No disappearance is discerned.
- No alteration while it persists is discerned.
Therefore the cessation1 occurs in dependence on the unconstructed0 and the cessation2 occurs in dependence on the unconstructed0.
Likewise when talking about the parinibbanas of beings past, present & future. That which is extinguished is the manyfold constructed dukkha and these dukkhanirodhas occur in dependence on the single asankhatadhatu.