Reality is Independent of Perception:

Axiom:
Definition:-
Reality is something Unique & absolute for an object.
Perception is the inference which our mind derives from the data which we get from our senses & experiences. It (differs)/ (may differ) from person to person & subjective in nature.

Proof:-
First I will prove that there exists infinite number of perceptions for the same object.
Let’s say X1 is the perception for the object. We all know that there exists at least one (Let’s say your perception).
Now assume that there exist n numbers of perceptions for the same object: X1, X2, X3…..Xn.
I can add one more perception Xn+1 for the same object which is let say mine.
So by Induction it is proved that there exists infinite number of perception for the same object.

Secondly assume that Reality is a function of Known Perceptions i.e. Reality depends upon Perceptions which is known;
i.e.

Y = f(X1,X2,X3,….Xn)
Now since there exist infinite number of perceptions I may learn k more perceptions.
Then reality will become
Y’ = f(X1,X2,X3…..Xn…..Xn+k)
Now since Y =/= Y’
Y is not unique;
Which is contradictory to our axiom that reality is unique?
And hence, proved by contradiction that Reality if it exists uniquely can’t be dependent upon perceptions.