To be a little pedantic, the beauty of double entry is that you can actually see that you DON’T get richer by paying down your mortgage (or poorer - also exclud

To be a little pedantic, the beauty of double entry is that you can actually see that you DON’T get richer by paying down your mortgage (or poorer - also excluding the effect of lowered future interest payments), you’re just shrinking your balance sheet (by reducing an asset (cash) and a liability (loan) by the same amount)