**CLEARLY**: I don't want to write down all the in-between steps.

**TRIVIAL**: If I have to show you how to do this, you're in the wrong class.

**OBVIOUSLY**: I hope you weren't sleeping when we discussed this earlier, because I refuse to repeat it.

**RECALL**: I shouldn't have to tell you this, but for those of you who erase your memory tapes after every test, here it is again.

**WITHOUT LOSS OF GENERALITY**: I'm not about to do all the possible cases, so I'll do one and let you figure out the rest.

**ONE MAY SHOW**: One did, his name was Gauss.

**IT IS WELL KNOWN**: See "Mathematische Zeitschrift'', vol XXXVI, 1892.

**CHECK FOR YOURSELF**: This is the boring part of the proof, so you can do it on your own time.

**SKETCH OF A PROOF**: I couldn't verify the details, so I'll break it down into parts I couldn't prove.

**HINT**: The hardest of several possible ways to do a proof.

**BRUTE FORCE**: Four special cases, three counting arguments, two long inductions, and a partridge in a pair tree.

**SOFT PROOF**: One third less filling (of the page) than your regular proof, but it requires two extra years of course work just to understand the terms.

**ELEGANT PROOF**: Requires no previous knowledge of the subject, and is less than ten lines long.

**SIMILARLY**: At least one line of the proof of this case is the same as before.

**CANONICAL FORM**: 4 out of 5 mathematicians surveyed recommended this as the final form for the answer.

**THE FOLLOWING ARE EQUIVALENT**: If I say this it means that, and if I say that it means the other thing, and if I say the other thing...

**BY A PREVIOUS THEOREM**: I don't remember how it goes (come to think of it, I'm not really sure we did this at all), but if I stated it right, then the rest of this follows.

**TWO LINE PROOF**: I'll leave out everything but the conclusion.

**BRIEFLY**: I'm running out of time, so I'll just write and talk faster.

**LET'S TALK THROUGH IT**: I don't want to write it on the board because I'll make a mistake.

**PROCEED FORMALLY**: Manipulate symbols by the rules without any hint of their true meaning.

**QUANTIFY**: I can't find anything wrong with your proof except that it won't work if x is 0.

**FINALLY**: Only ten more steps to go...

**Q.E.D.** : T.G.I.F.

**PROOF OMITTED**: Trust me, it's true.

Here is the source.

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