Problem $2.(10$ points$)$ Consider the statement that functional dependencies $$ and $$

imply $$ where $,,$ and $$ are any sets of attributes. Determine whether or not this

statement is true. If true, prove it using the definition of functional dependency: $$ if and only

if $t_1[]=t_2[]=>t_1[]=t_2[].$ Otherwise, give an example showing that the statement is false.