[Verse 1]
When sets unite, they form a bridge
Elements from both combine
But flip that union to its ridge
The complement draws different lines
Take the opposite of A or B
You get A-not AND B-not, see
[Chorus]
De Morgan flips the game around
Union's complement breaks it down
To intersection of the not
Intersection's complement is what?
Union of the opposite sides
These are the laws that math provides
[Verse 2]
Picture intersection's core
Where both sets overlap and meet
But complement that shared-space floor
The pattern flips, the rule's complete
Not A-and-B becomes so clear
A-not OR B-not will appear
[Chorus]
De Morgan flips the game around
Union's complement breaks it down
To intersection of the not
Intersection's complement is what?
Union of the opposite sides
These are the laws that math provides
[Bridge]
Every element tells its tale
Either in or outside bounds
Negation switches without fail
AND becomes OR when flipped around
OR becomes AND in reverse
Mathematical universe
[Verse 3]
Sets are logic in disguise
Each member answers true or false
When complements materialize
The operations trade their roles
Element by element we see
How logic builds reality
[Final Chorus]
De Morgan flips the game around
Union's complement breaks it down
To intersection of the not
Intersection's complement is what?
Union of the opposite sides
Mathematics never lies
[Outro]
From sets to logic, logic back to sets
The patterns never fade
Complement the union, intersection you get
That's how these laws are made