Consider the statement that functional dependencies $\backslash$alpha $->\backslash$omega and $\backslash$beta $->\backslash$gamma

imply $\backslash$alpha $\backslash$beta $->\backslash$omega $\backslash$gamma where $\backslash$alpha $,\backslash$beta $,$ and $\backslash$gamma are any sets of attributes. Determine whether or not this

statement is true. If true, prove it using the definition of functional dependency: $\backslash$alpha $->\backslash$beta if and only

if t$1[\backslash$alpha $]=$ t$2[\backslash$alpha $]$ t$1[\backslash$beta $]=$ t$2[\backslash$beta $].$ Otherwise, give an example showing that the statement is false.