In the previous article, you learnt about Identity law which is an equivalence. Similarly, the domination law are another equivalence that you are going to learn in this article.
Also, this equivalence need proof which is the main purpose of this document. The prove is in the form of truth table for domination laws.
What is domination law?
The domination laws are:
\begin{aligned} &P \vee T \equiv T \hspace{1cm} ( 1)\\ \\
&P \wedge F \equiv F \hspace{1cm} ( 2)
\end{aligned}First Domination Law
In the first domination law, result of 
“I am reading, or Human beings can learn”
which is equivalent to saying
“I am reading, which is true, but Human beings can learn“.
This is the case when truth value of
Consider the case when 
“I am not reading, or Human beings can learn“.
Now because of 
Second Domination Law
Let 
Therefore, the second equivalences are valid.
Suppose
In the first equivalence, the dominating value is
Truth Table of Domination Laws
To prove that equivalence is
Rows = 2^1 = 2
The column values for the truth table are 
| | |  | |
| T | T | F | T | F |
| T | T | F | T | F |
| F | T | F | T | F |
| F | T | F | T | F |
The results of truth table show that
