Let us define the Identity Property of Being as 'being at one with oneself'.
Given that: time = money
...and that 'Time is All We Have'. [1]
...we can write: time/time = money/money
Which is equivalent to: (time)(money) = (money)(time)
Dividing everything by money^2 give us: time/money = time/money
Since we know that: time = money
...we can write: time/money = money/money
Which is: time/money = 1
So, we have shown that valuing time over money results in the Identity Property of Being.