What to say instead of "trivially"
This comes from a very long list of alternative phrases and words that was used to create “a program that will insert condescending adverbial phrases before any statement in a math proof”. But use it where you will - I’m sure other fields can benefit. Tag yourself, I’m “By abstract nonsense“.
By circular reasoning we see that
There is a marvellous proof (which is too long to write here) that
Figure 2 (not shown here) makes it clear that
It is beyond the scope of this course to prove that
Only idealogues and sycophants would debate whether
The Math Gods demand that
For legal reasons I am required to disclose that
Remember the basic laws of common sense:
Life is too short to prove that
All the cool kids know that
Wherefore said He unto them,
As a great man once told me,
Galois died in order to show us that
It pleases the symmetry of the world that
I know it, you know it, everybody knows that
You of all people should realize that
The proof is left to the reader that
We need not waste ink in proving that
It would be an insult to my time and yours to prove that
I shudder to think of the poor soul who denies that
We don’t want to deprive the reader of the joy of discovering for themselves why,
Barring causality breakdown, clearly
Through the careful use of common sense,
This won’t be on the test, but
When one stares at the equations they immediately rearrange themselves to show that
If I’ve said it once I’ve said it a thousand times,
Our forefathers built this country on the proposition that
My father told me, and his father before that, and his before that, that
The burden of proof is on my opponents to disprove that
Assuming an arbitrary alignment of planets, astrology tells us