New Math, part 1

I. Happiness equals Girl plus Gum.
I.i. Behind any Happiness and its Gum, a Girl is always lurking.
I.ii. That same Happiness, without the Girl, would just be Gum.
I.iii. To repeat: Happiness is always the sum of some Girl and her Gum.

II. What, then, of a Girl without her Gum? That's No Fun.
II.i. And a Girl plus Fun? Gum.
II.iii. Therefore, No Fun plus Gum yields Girl, by proposition I, two times a Girl may produce Happiness, but No Fun. Quod erat demonstratum.