Compare two data frames to change the value of a variable in R

I am trying to compare two data frames with the same number of rows and variables, to change the value of the variable to a unique identifier (return True if the value is the same and false if it is different). Here's an example of what the data looks like:

df1

id col1 col2
1  abc  123
2  def  456
3  ghi  789

      

        
        
        
      

    

df2

col1 id col2
ghe  3  789
abc  1  123
def  2  455

      

        
        
        
      

    

And I think the comparison result would be in df3

id col1 col2
1  true true
2  true false
3  false true

      

        
        
        
      

    

Any help would be greatly appreciated! I hope I've made this somewhat clear.