Homework is sexual

The entire proof is valid only if the "U.S. Department of education is always right" hypothesis is true.

Given:
1. Homework is a finite set and can't have element from both the asexual or sexual set.
2. asexual ∪ sexual = Universal set.
3. asexual ∩ sexual = Ø.
4. asexual elements do themselves
5. "Don't do the assignment yourself. It's not your homework--it's your child's." said U.S. Department of education.
6. Humans ⊆ sexual. child⊆humans.

Prove:
Homework ⊆ sexual

Statement Reason
homework is not sexual assume the opposite
asexual ∪ sexual = Universal set
asexual ∩ sexual = Ø
given
asexual is the absolute complement of sexual Complement laws
Homework is a finite set and can't have element from both the asexual or sexual set given
homework ⊆ asexual A set in universe that's not a subset of a universe's subset then it must be the subset's complement set's subset if it have to be a subset of one of them.
homework do themselves subset inherit the property of it's superset
"Don't do the assignment yourself. It's not your homework--it's your child's." said U.S. Department of education. Given
Child do homework U.S. Department of education is always right
Humans ⊆ sexual
Child ⊆ humans
Given
Child ⊆ sexual Transitive property
Child is not Homework asexual is not sexual
Homework don't do themselves child do homework, and child are not homework
homework ⊆ sexual Contradicts with the property of asexual

Q.E.D.
at least homework have all the property sexual have...

I found this joke "I wish my homework was asexual so it would do itself." on the Urban Dictionary, I google around and found this joke is not that popular. [Results 1 - 10 of about 77,400 for homework asexual. (0.19 seconds) ]
So I guess, I would try to boost this joke's potential by spin it in with...
MATH!!!

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